Final Wireless Microwave Communication

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    ICCT Colleges Foundation Inc.

    College of EngineeringV.V. Soliven Ave. II, Cainta, Rizal

    COLLEGE OF ENGINEERING

    ECE Dea!t"ent

    A oint to oint lin# t$at connects %!g&. Santo Do"ingo, Caas, Ta!lac to

    %!g&. %angad, Ca'anatuan Cit&, Nueva Eci(a

    )WIRELESS COMMUNICATION SYSTEM DESIGN*

    A +ic!oave Co""unications S&ste" Design -!esented

    to t$e Facult& o Elect!onics and Co""unications

    Enginee!ing Dea!t"ent

    In -a!tial Ful/ll"ent o t$e Re0ui!e"ents

    o! t$e Deg!ee in %ac$elo! o Science in Elect!onics and Co""unications

    Enginee!ing

    %!iones, 1o$n Le"uel +.

    Evangelista, 1o$n Al"a! -.

    +e!za, Ti"ot$& 1a"es C.

    -a!dilla, Leo I L.

    Setenta, Ra&nald %.

    Sola(o, C$!istelle Ron C.

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    APPROVAL SHEET

    In a!tial ul/ll"ent o! t$e cou!se o %ac$elo! o Science in Elect!onics

    and Co""unications Enginee!ing, t$e 4IRELESS CO++5NICATION DESIGN t$at

    connects %!g&. Santo Do"ingo, Caas, Ta!lac to %!g&. %angad, Ca'anatuan

    Cit&, Nueva Eci(a $as 'een !ea!ed and su'"itted '& t$e olloing students6

    %!iones, 1o$n Le"uel +.

    Evangelista, 1o$n Al"a! -.

    +e!za, Ti"ot$& 1a"es C.

    -a!dilla, Leo I L.

    Setenta, Ra&nald %.

    Sola(o, C$!istelle Ron C.

    A!oved '&6

    Eng!. +ic$ael Ste$en T. Go!ose

    -!oesso!, 4i!eless Co""unication La'o!ato!&

    A!oved and acceted as a!tial ul/ll"ent o t$e !e0ui!e"ents o! t$e

    Deg!ee o %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    it$ t$e g!ade o 77777777.

    -!o. Ro""el T. Dasalla

    Acade"ic Coo!dinato!, College o Enginee!ing

    ACKNOWLEDGEMENT

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    T$e success o t$is !esea!c$ ould not $ave 'een ac$ieved i not

    'ecause o t$e unave!ing suo!t, encou!age"ent, and assistance o t$e

    eole $o $ave given t$ei! ti"e and solicited advice to t$is stud&.

    4e ac#noledge Eng!. +ic$ael Ste$en T. Go!ose, o! $is atience and

    guidance, encou!age"ent and o! s$a!ing $is e8e!tise in "a#ing t$is !o(ect.4e ill !e"ain o!eve! inde'ted to &ou.

    Ou! a!ents, $o gave us lie and guided us eve! since e e!e 'o!n,

    and o! t$e /nancial and "o!al suo!t9 also to ou! !iends, $o a!e ala&s

    t$e!e o! us, to ou! class"ates and inst!ucto!s $o gave us insi!ation and

    suo!t to /nis$ t$is stud&9 and

    A'ove all to God 'e t$e glo!&, $ono!, and $ig$est !aise o! t$e#noledge and isdo" t$at $e 'estoed uon us in "a#ing t$is !esea!c$

    successul.

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    Dedic!ion

    T$is !o(ect is dedicated to t$e "ost onde!ul a!ents in t$e o!ld,

    Fo! instilling t$e i"o!tance o $a!d o!# and $ig$e! education9

    Fo! t$ei! atience and unde!standing9

    Fo! t$ei! endless love and suo!t9

    And o! t$ei! "otivation and o! good "o!al t$e& $ave taug$t to us.

    And to ou! !iends and love ones,

    Fo! t$e love, insi!ation, and unde!standing.

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    TA"LE O# CONTENTS

    Title -age::::::::::::::::::::::::::::::::...

    A!oval S$eet:::::::::::::::::::::::::::::.$

    Ac#noledge"ent:::::::::::::::::::::::::::..%

    Dedication:::::::::::::::::::::::::::::::..&

    Ta'le o Contents::::::::::::::::::::::::::::.'

    I( O)er)ie* of !+e

    Pro,ec!------------------------(((.

    ;. Int!oduction:::::::::::::::::::::::::::

    II( Pro,ec! De/cri0!ion--------------------------($%

    ;. Signi/cance o t$e Stud&::::::::::::::::::::.;=

    =. State"ent o t$e -!o'le":::::::::::::::::::...;?

    ?. Design O'(ectives:::::::::::::::::::::::..;@

    @. Scoe and Deli"itations::::::::::::::::::::..;

    . Design Conside!ations:::::::::::::::::................;3

    .; Site Conside!ations:::::::::::::::::::..;3

    .= Line o Sig$t Conside!ations:::::::::::::::.(=B

    .? E0ui"ent Conside!ations::::::::::::::::=;

    .@ Oe!ating F!e0uenc& Conside!ations::::::::::...=

    III( Micro*)e Lin1

    Pro2le------------------------(%.

    ;. Location o Sites::::::::::::::::::::::::.=

    a!d ats::::::::::::::::::::::::::::;?;

    Roe and -ulle&:::::::::::::::::::::::::;?;

    Installing Antennas on t$e Toe!:::::::::::::::::.;?=

    So"e Toe! Cli"'ing Tis::::::::::::::::::::.;?@

    E0ui"ent -!otection::::::::::::::::::::::.;?3

    VII( Glo//r5-----------------------------((($&.

    VIII( Tec+nicl Reference/-----------------------($'7

    ;. Fo!"ulas:::::::::::::::::::::::::::..;@

    =. Ree!ences::::::::::::::::::::::::::.;>

    @. Standa!ds::::::::::::::::::::::::::...;3B

    ?. Seci/cation S$eets::::::::::::::::::::::......

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    I( O)er)ie* of !+e Pro,ec!

    1. Introduction

    In t$is gene!ation, !adio co""unication is used '& eole o! se!vices

    suc$ as voice and data. 4it$ "an& o t$ese eatu!es, one ould !ealize t$e

    allotted sace in t$e !e0uenc& sect!u". T$e e8ansion o t$e !e0uenc&

    sect!u" a!e u to VF and 5F !ange at /!st. T$is ti"e, !e0uenc& sect!u"

    is e8anded to t$e "ic!oave !egion. +ic!oaves a!e signals it$ a !e0uenc&

    g!eate! t$an ; Gz F!enzel, ;>>@H. Co""unication s&ste"s oe!ating in t$e

    "ic!oave !egion $ave an advantage co"a!ed to t$ose oe!ating at loe!

    !e0uencies. +ic!oave !adio s&ste"s can ca!!& la!ge 0uantities o ino!"ation

    To"asi, =B;@H.

    +ode!n "ic!oave lin#s a!e 0uite !evalent due to t$e cost eective

    natu!e o utilizing "ic!oave oint to oint lin#s to !ela& t!aJc co"a!ed to

    i!e line !ental !ules and /'e! usage. 4i!eless "ic!oave lin#s also can se!ve

    as an e8cellent 'ac# u to /'e! otic lin#s. +ic!oave tec$ni0ues adoted in

    alications suc$ as long distance co""unication s$ould also 'e conside!ed9

    $e!ein "ic!oaves a!e oint to oint co""unications t$at utilize t$e line o

    sig$t at$, $ic$ "eans t$e to antennas o! t!ans"itte! and !eceive!H,

    s$ould see eac$ ot$e! no o'st!uctionsH. +ic!oaves a!e idel& !ecognized as

    !oviding e8i'le, !elia'le, and econo"ical ointtooint co""unications

    using Ea!t$Ks at"os$e!e o! t$e t!ans"ission "ediu".

    A "ic!oave s&ste" no!"all& consists o a t!ans"itte! su's&ste",

    including a "ic!oave oscillato!, aveguides, and a t!ans"itting antenna, and

    a !eceive! su's&ste" t$at includes a !eceiving antenna, t!ans"ission line

    o! aveguide, a "ic!oave a"li/e!, and a !eceive! LiaoH. In o!de! to design a

    "ic!oave s&ste", an ade0uate #noledge o t$e co"onents involved is

    essential.

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    In designing a oint to oint co""unication, one "ust utilize t$e line o

    sig$t at$, $ic$ "eans t$e antennas o! t!ans"itte! and !eceive!H s$ould see

    eac$ ot$e!, "eaning, no o'st!uctions. F!e0uentl&, $oeve!, t$e locations o t$e

    desi!ed lin#s a!e /8ed. 4$en a clea! line o sig$t cannot 'e ac$ieved, t$e

    !esea!c$e! "ust lan acco!dingl&, as too it$ ot$e! conside!ations.

    In +ic!oave Designing t$e!e a!e so "an& a!a"ete!s "ust 'e

    conside!ed '& a !esea!c$e! to $ave a good oint to oint lin#. T$ese

    a!a"ete!s "ust 'e conside!ed clea!l& '& a !esea!c$e! to avoid ailu!e and

    "ini"ized signal losses o "ic!oave lin#.

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    2. Overview of the Design

    T$e lin# o! ointtooint co""unication is located in t$e -$iliines,

    a!ticula!l& !o" %!g&. Santo Do"ingo, Caas, Ta!lac to %!g&. %angad,

    Ca'anatuan Cit&, Nueva Eci(a. T$e design !elies on t$e act t$at "ic!oave

    !e0uencies !oagate in a st!aig$t line To"asi, =B;@H. T$e st!aig$t line is

    called Line o Sig$t. T$e lin# $as a distance o a!o8i"atel& B.@ #ilo"ete!s.

    T$e design o! "ic!oave !adio co"!ises i"o!tant co"onents suc$ ast!ans"itte!, toe!, antenna, aveguide, and oe! sul&.

    T$is "ic!oave design is a /8ed lin# o! /8ed se!vice alication t$at can

    !ovide 'ac#$aul caacit& o! suita'le 0ualit& and caacit& to ca!!& t$e

    !e0ui!ed t!aJc o! t$e lin# li#e o! Inte!net, tele$one, and !adio. Also t$is lin#

    is oe!ated in ull dule8 "ode. Dule8 oe!ation "eans t$at eac$ !adio

    !e0uenc& RFH c$annel consists o a ai! o !e0uencies o! t$e t!ans"it and

    !eceive di!ections, !esectivel&. T$ese a!e so"eti"es !ee!!ed to as Go and

    Retu!n c$annels o! lo 'and and $ig$ 'and c$annels +anning, =BB>H. Ou! lin#

    o Site A and Site % $as oe!ating !e0uenc& o

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    T$e "ic!oave !adio used is a TranscendTM

    2BB Indoo! 5nit ID5H

    ve!sion it$ inte!ace o! ;8ST+;MOC?, ;3 E;MT;

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    A RS+ @2MB =@M;BB "odula! !ecti/e! s&ste" o! ACMDC conve!sion

    $ic$ can !ovide o "a8i"u" outut o =BBA at @2 VDC and @BBA at =@ VDC

    and a Digital Ene!g&T+ L-??5 Se!ies o! 5ninte!!uti'le -oe! Sul&.

    Fo! t$e !otection s&ste", a ERITEC SSTE+ ?BBB $ic$ a

    tec$nicall& advanced lig$tning !otection s&ste" int!oduced '& ERICO $ic$

    ell #non o! "anuactu!ing lig$tning !otection s&ste"s in ull acco!dance

    it$ "o!e t$an telve national and inte!national standa!ds.

    T$e detailed ino!"ation o! t$e e0ui"ent a!e in C$ate! VIII. Tec$nical

    Ree!ences Seci/cation S$eets.

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    II( Pro,ec! De/cri0!ion

    1. Signicance of the Study

    It is ointed out t$at as a !esult o t$e accele!ating !ate o g!ot$ o

    "ic!oave tec$nolog& and indust!&, t$ose $o a!e !ea!ing o!, and o!#ing

    in t$e "ic!oave a!ea a!e aced it$ t$e need to unde!stand t$e t$eo!etical

    and e8e!i"ental design and anal&sis o t$is a!ea LiaoH.

    T$is !esea!c$ is designed to give li"ited a"ounts o ino!"ation t$at can 'e

    easil& digested and !esents t$e 'asic c$a!acte!istics, and alications

    co""onl& used in "ic!oave devices and e8lain t$e tec$ni0ues o! designing

    a "ic!oave oint to oint lin#.

    T$is stud& ai"s to !ovide unda"ental concets, t$eo!ies, and tec$ni0ues

    t$at "a& 'e used o! utu!e Elect!onics and Co""unications Enginee!ing

    students. +a& t$e utu!e !esea!c$e!s use t$is design o! additional #noledge

    and i"!ove"ent o t$ei! on design, and 'e 'lessed to ac$ieve t$ei! tas#s

    and goals.

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    2. Statement of the Problem

    Ou! to !io!ities in o!de! to o'tain ou! desi!ed goals a!e t$e die!ent

    acto!s and !o'le"s, $ic$ e #ne ill aect t$e !elia'ilit& o t$e $ole

    co""unication s&ste". In o!de! to $ave a !oe!l& o!#ing and unctioned

    oint to oint "ic!oave co""unication, e "ust conside! die!ent acto!s

    t$at e "ust $andle and !o'le"s t$at need to 'e solved.

    Is t$e!e an& o'st!uction encounte!ed in t$e at$ o! ointtooint lin#

    'eteen Caas, Ta!lac and Ca'anatuan Cit&, Nueva Eci(aP

    4$at a!e t$e eects o cli"ate and eat$e! in t$e !elia'ilit& o t$e

    s&ste"P

    4$at a!e t$e alication and se!vices !oduced '& t$e designP

    Acco!ding to t$e design, a!e "easu!e"ents and calculations o t$e

    design accu!ateP

    4$at a!e t$e t$eo!ies and standa!ds to 'e conside!ed in "ic!oave

    co""unicationP

    4ill t$e ove!all !elia'ilit& o at least >>.>>> e!cent 'e attained in t$e

    designP

    4$at a!e t$e agg!egated "et$ods to i"!ove suc$ a!a"ete!sP i.e.

    Fade "a!gin, S&ste" Gain, F!ee Sace at$ loss, at$ clea!ance and

    antenna $eig$t etc.H

    4$at a!e t$e !otocols and s&ste" !otection t$at one s$ould ollo o!

    saet&P

    4$at a!e t$e co"ati'le and unctional e0ui"ents o! t$e 'est designP

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    3. Design Obectives

    5nde!stand so"e o t$e asects and c!ite!ia involved in "ic!oave lin#

    lanning.

    Discuss t$e !egulato!& 'odies and availa'le !e0uencies toget$e! it$

    lanning and docu"ents !e0ui!ed to 'e su'"itted.

    S$o die!ent "et$ods o con/gu!ation o t$e !adio e0ui"ent to

    !ovide oti"u" e!o!"ance.

    Loo# at die!ent toe! otions deending on location and envi!on"ent.

    el identi& t$e co!!ect t!ans"ission line t&es and unde!standing t$e

    e!o!"ance die!ences 'eteen antennas.

    Investigate "ic!oave at$s and $el unde!stand losses as a !esult o

    !eection, a'so!tion and di!action.

    Discuss F!esnel zones, loo# at te!!ain and $o o'stacles can inte!e!e

    it$ t$e 0ualit& o t!ans"ission.

    5nde!stand line o site su!ve&s and $& t$e& s$ould 'e co"leted.

    Ensu!e t$e !elia'ilit& o t$e at$.

    Investigate inte!e!ence calculations "at$e"aticall& to ensu!e t$e lin# is

    via'le.

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    !. Sco"e and Delimitations

    Sco"e

    A "ic!oave design t$at ill lin# %!g&. Santo Do"ingo, Caas, Ta!lac

    to %!g&. %angad, Ca'anatuan Cit&, Nueva Eci(a.

    Toog!a$ical "as ac0ui!ed !o" t$e National +aing and Resou!ce

    Ino!"ation Aut$o!it& NA+RIAH and "a site locations data !o"

    sota!e Google Ea!t$ a!e included.

    T$e design ino!"ation t$at includes lin# 'udget anal&sis, at$

    !o/ling o t$e design, die!ent t&es o conside!ation, saet& and

    !ecautions, "at$e"atical calculations and tec$nical !ee!ences to

    suo!t t$e design. All inte!nal calculations it$in t$is docu"entation

    a!e calculated using +ic!osot E8cel =B;3.

    T$e die!ent t$eo!ies and ino!"ation t$at conce!ns in designing a

    "ic!oave ointtooint lin# is ac0ui!ed. At least >>.>>> ove!all !elia'ilit& o a co""unication lin# is attained.

    Qnoledge on selecting co!!ect and !oe! e0ui"ent t$at is

    co"ati'le it$ t$e design is o'tained.

    Delimitations

    T$e sites a!e actuall& not visited. -at$ clea!ance is 'ased on Google

    Ea!t$.

    Const!uction lan and elect!ical la&out o t$e toe! a!e not included.

    Elect!ic installation on t$e 'uilding is deli"ited. -$iliine Elect!ical

    Code is not ac0ui!ed due to unavaila'ilit& o suc$ !esou!ce.

    %uilding and const!uction o actual site station on t$e 'ot$ sites a!e

    'ased onl& on ou! on #noledge.

    T$e toog!a$ical "as used a!e not u to date.

    #. Design $onsiderations

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    #.1. Site $onsiderations

    T$e!e a!e die!ent acto!s to 'e c$ec#ed $en conside!ing a ossi'le

    at$ o! a "ic!oave lin#. Ideall&, a "ic!oave lin# ould oe!ate

    'eteen to oints it$out assing t$!oug$ an& "ate!ial su'stances,

    including t$e at"os$e!e and !ain, and it$out an& o'(ects 'eing nea!

    t$e at$ o !oagation.

    C$oosing site o! "ic!oave lin# "ust conside! t$e "eteo!ological,

    geog!a$ical, and de"og!a$ical a!a"ete!s. 4e "ust also include

    st!uctu!al !esences nea! t$e site li#e e8isting "ic!oave toe!s, $ig$e!

    'uildings and natu!al o'st!uction li#e "ountains.

    T$e to sites c$osen o! t$e design a!e in t$e nea!'& a!eas in t$e

    Cent!al Luzon $e!e t$e co""on te!!ains a!e settle"ent, cultivated land

    and !ice /elds.

    As o! ood and landslide "aing s$on 'elo, t$e Site A ood

    and landslide "a is illust!ated in +a A and o! Site % is illust!ated in

    +a % $e!e 'ot$ sites a!e in t$e lo to "ode!ate susceti'ilit& to

    ooding.

    T$e to sites $ave t$e econo"ic 'ene/ts since t$e availa'ilit& o

    oe! sul&M elect!icit& nea! t$e site is availa'le as ell as t$e accu!ate

    location o t$e nea!est t!anso!tation !oute. %uilding ne sites o! t$e

    "a(o! t!anso!tation !oute and oe! station can cost a lot t$atKs $&

    t$e availa'ilit& nea! to t$e sites is also conside!ed.

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    +a A

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    Site A

    %!g&. Santo Do"ingo, Caas, Ta!lac

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    +a %

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    Site B

    %!g&. %angad, Ca'anatuan Cit&, Nueva Eci(a

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    Ea!t$0ua#e is $ig$l& conside!ed 'ecause it could g!eatl& aect t$e antenna

    o!ientations and align"ents. Also at t$e location o 'ase stations, it "a& cause

    a long te!" unavaila'ilit& o t$e co""unication o! o!se sites "a& 'e !e'uilt

    o! !elocated.

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    #.2. %ine of Sight $onsiderations

    %asic conside!ation is t$e $&sical location o t$e sites at eac$ end

    o t$e lin#. %ecause "ic!oave signals t!avel in a st!aig$t line, a clea!

    line o sig$t 'eteen antennas is 'est. T$is is o cou!se ideal, and

    no!"all&, t$oug$ t$e locations o t$e desi!ed lin#s "a& contain

    o'st!uction. Fo! ac$ieving t$e clea! line o sig$t, Radio LOS ta#es into

    account t$e concet o F!esnel ellisoids and t$ei! clea!ance c!ite!ia.

    F!esnel one a!eas o const!uctive and dest!uctive inte!e!ence

    c!eated $en elect!o"agnetic ave !oagation in !ee sace is

    !eected "ultiat$H o! di!acted as t$e ave inte!sects o'stacles. It is

    seci/ed e"lo&ing o!dinal nu"'e!s t$at co!!esond to t$e nu"'e! o

    $al avelengt$ "ultiles t$at !e!esent t$e die!ence in !adio ave

    !oagation at$ !o" t$e di!ect at$. T$e F!esnel one "ust 'e clea! o

    all o'st!uctions.T&icall&, t$e Fi!st F!esnel one is used to dete!"ine t$e

    o'st!uction Loss.

    T$e di!ect at$ 'eteen t$e t!ans"itte! and t$e !eceive! needs a

    clea!ance a'ove g!ound o at least 3B o t$e !adius o t$e Fi!st F!esnel

    one to ac$ieve !ee sace !oagation conditions. Ea!t$ !adius acto! Q

    co"ensates t$e !e!action in t$e at"os$e!e. Clea!ance is desc!i'ed as

    an& c!ite!ion to ensu!e suJcient antenna $eig$ts so t$at, in t$e o!st

    case o !e!action o! $ic$ # is "ini"u"H t$e !eceive! antenna is not

    laced in t$e o'st!uction !egion.

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    #.3. &'ui"ment $onsideration

    In designing a "ic!oave lin#, "ost o data ill co"e !o"

    e0ui"ent t$at ill 'e on site li#e nu"e!ical and logical calculation.

    E0ui"ent "ust 'e co"ati'le it$ eac$ ot$e! eseciall&

    connecto!s ange, antenna and aveguide to avoid losses $ic$

    ill aect signal lin# in eac$ site.

    An!enn

    T$e antenna "ust $ave co"ati'le ange connecto! it$

    aveguide.

    ig$ di!ective o! 'ea" antennas a!e !ee!!ed 'ecause t$e&

    do not aste !adiated ene!g&, !ovide an inc!ease in gain

    $ic$ $els o set t$e at$ loss at !e0uenc& and !adiates

    g!eate! oe! in seci/c di!ection alloing o! inc!eased

    e!o!"ance and !educed inte!e!ence !o" unanted

    sou!ces $ic$ li#el& ve!& i"o!tant in "ic!oave

    t!ans"ission.

    +ic!oave antenna set in sa"e ola!ization $e!e in Site A

    antenna t!ans"itte! is in ve!tical t$en in Site % t$e antenna

    !eceive! is in ve!tical also o! oti"u" t!ans"ission

    !ecetion.

    Rnge of O0er!ing #re86enc59

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    Conside!ing a"li/cation o t$e signal at t$e t!ans"itte! and

    t$e !eceive! o! successul co""unication.

    T!ans"itting Standa!d -oe!6 ?? d%"

    Range o F!e0uenc&6 @ to ?2 Gz

    +odulation Tec$ni0ue6 =3A+

    RF C$annel %andidt$6 ?. to @B +z

    To*er

    T$e selsuo!t toe! $as eas&, lo cost solution to 'uild,

    and $ave "ini"u" usage o land a!ea.

    Lig$t +ediu"

    3 " $ig$ in 'ot$ Site

    4eig$ing 2B@ l's.

    It can stand ind t$at $as "a8i"u" seed o >B "$

    It is $otdi galvanized, inside and out o! co!!osion

    !otection.

    +ade o ig$ tensile Galvanized Steel

    Rdo;e

    It can it$stand inds u to ;B "$ =@B #"M$H

    +ade o /'e! glassM A%S lastic

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    W)eg6ide/

    4aveguides a!e !ee!!ed 'ecause o t$ei! lo loss.

    4ave guides "ust 'e availa'le in standa!d sizes and secial

    ieces a!e used o! !ig$t angle 'ends and >B tists.

    T&icall& Oe!ating !e0uenc& oe!ate in

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    Lig+!ning Arre/!er

    It is used to it$stand lig$tning and sitc$ing su!ge, $ave

    good !esonse c$a!acte!istics to stee lig$tning i"ulse and

    sue!io! antiollution !oe!t&.

    Lig$tning -!otection S&ste" a!e co"!ised o t$ese !incial

    co"onents6o Ai! Te!"ination Neto!#

    o Don Conducto!so G!ounding S&ste"o %onding

    "econ

    Fast and eas& asse"'l& it$ inte!loc#ing const!uction

    Su!ace, ole o! all "ounted

    %!ig$t and even lig$t dist!i'ution t$!oug$ !is" cut lense

    ave long lie and !elia'ilit&

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    #.!. O"erating (re'uency $onsiderations

    %eo!e "ic!oave lin# lanning co""ences, t$e lanne!Moe!ato!

    "ust dete!"ine t$e availa'le !e0uenc& 'ands and c$annel lans t$at

    a!e seci/c to t$e count!& and t$e local a!eaH in $ic$ t$e neto!# ill

    oe!ate. 5se!s o a co""on 'and o !adio !e0uencies "ust ollo a

    !ocedu!e o !adio !e0uenc& coo!dination so as to "ini"ize and cont!ol

    otential inte!e!ence a"ong s&ste"s. F!e0uenc& coo!dination is a"ultilate!al !ocess t$at involves t$e cooe!ative s$a!ing o tec$nical

    oe!ating ino!"ation a"ong a!ties utilizing t$e sa"e sect!u". A

    t&ical lin# lengt$ olic& is s$on in t$e ta'le +anning, =BB>H

    #re86enc5 Lin1 "nd M

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    inte!e!ence $ile oe!ating it$ ot$e! e8isting o! lanned s&ste"s using

    t$e sa"e !e0uenc& 'and.

    Also it$ suc$ as $ig$ de"and o! i"le"entation o lin#s, 'ut li"ited

    !e0uenc& sect!u", gove!n"ents $ave to !ovide guidelines t$at assu!e

    atte!n e!o!"ance is suc$ t$at inte!e!ence is not caused '& to lin#s

    t$at a!e geog!a$icall& close.

    Ta'le o "ic!oave !e0uenc& 'ands designation '& t$e Radio Societ& o

    G!eat %!itain6

    #re86enc5 Lin1 "nd #re86enc5 Rnge

    L 4nd ; to = Gz

    S 4nd = to @ Gz

    C 4nd @ to 2 Gz

    @ 4nd 2 to ;= Gz

    KU 4nd ;= to ;2 Gz

    K 4nd ;2 to =3. Gz

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    III( Micro*)e Lin1 Pro2le

    1. %ocation of the Sites

    Site location ino!"ation a!e to 'e c$ec#ed and ve!i/ed. Site coo!dinates

    a!e to 'e accu!ate it$in a e "ete!s in "ost cases +anning, =BB>H. To

    esta'lis$ a good at$ o! ointtooint co""unication, t$e line o sig$t is

    c$ec#ed o! a!a"ete!s li#e o'st!uctions, !eection oint, !e!activit& and so

    on. 4$en it co"es to at$ su!ve&, t$e use o satellite i"age!& !og!a" suc$ as

    Google Ea!t$ is ossi'le to 'e e"lo&ed. In t$is "ic!oave lin# design, it is

    delo&ed t$e sa"e a&. As stated 'eo!e, t$e sites o! "ic!oave lin# a!e

    located at Caas, Ta!lac and Ca'anatuan Cit&, Nueva Eci(a. Let us denote t$ese

    sites as site A and site % !esectivel&.

    C0/ Trlc BSi!e A

    Caas is a /!st class $ig$ u!'anized "unicialit& in t$e !ovince oTa!lac and also a oulated lace in t$e count!& o t$e -$iliines it$ an

    ave!age elevation o @? "ete! a'ove sea level. T$e a!ea is "ildl& densel&

    oulated it$ ??@ eole e! s0ua!e #ilo"ete!s and a total oulation

    o a!ound ;=,2= eole. An esti"ated =.2= o t$e c$ild!en 'elo

    &ea!s old a!e unde!eig$t, it$ a "o!talit& o =@ e! ;BBB 'i!t$s 'ased

    on =B;B census

    N!6rl H:rd/

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    Caas can $ave dest!uctive ea!t$0ua#es on ave!age one eve!& B

    &ea!sH, it$ occu!ances at U< Ric$te!. 4$en a st!ong ea!t$0ua#e occu!s,

    da"age ill 'e slig$t in seciall& designed st!uctu!es 'ut conside!a'le in

    o!dina!& su'stantial 'uildings it$ a!tial collase. eav& u!nitu!e is

    "oved. -oo!l& 'uilt st!uctu!es ill 'e de"olis$ed. T$e!e is a lo

    occu!ence o e!iods it$ e8t!e"e d!oug$t. Flooding !is# is e8t!e"el&

    $ig$. T$e!e is a e8t!e"el& $ig$ c$ance o c&clones $itting Caas.

    We!+er

    A!il is a!"est it$ an ave!age te"e!atu!e o 34 at noon.

    1anua!& is coldest it$ an ave!age te"e!atu!e o 20.6 at nig$t.

    Caas $as no distinct te"e!atu!e seasons, t$e te"e!atu!e is !elativel&constant du!ing t$e &ea!. T$e te"e!atu!e at nig$t a!e coole! t$at du!ing

    da&ti"e. Li#e t$e !est o Cent!al Luzon, t$e !ovince $as to distinct

    seasons6 d!& !o" Nove"'e! to A!il and 4et o! t$e !est o t$e &ea!.

    C4n!6n Ci!5 N6e) Eci, BSi!e "

    Ca'anatuan oJciall& t$e Cit& o Ca'anatuan is a cit& in t$e

    !ovince o Nueva Eci(a and also is a oulated lace in t$e count!& ot$e -$iliines it$ an ave!age elevation o ?@ "ete!s a'ove sea level.

    T$e a!ea is ve!& densel& oulated it$ =,=@; eole e! s0ua!e #" and

    a total oulation o a!ound =

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    Ca'anatuan can $ave !uinous ea!t$0ua#es on ave!age one eve!&

    B &ea!sH, it$ occu!!ences at

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    Line of Sig+!

    #ro; "rg5( Sn!o Do;ingo C0/ Trlc BSi!e A !o "rg5( "ngd

    C4n!6n Ci!5 N6e) Eci, BSi!e "

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    Si!e A6 %!g&. Santo Do"ingo, Caas, Ta!lacCent!al LuzonH

    Coo!dinates o Site A acco!ding to Google Ea!t$6

    Longi!6de 6 12035'43.27E

    L!i!6de 9 15 20'28.65N

    Elevation a'ove "ean sea level o Site A acco!ding to Google Ea!t$6

    A!o8i"atel& 7% ;e!er/ 4o)e ;en /e le)el

    Distance o Site A to Site % acco!ding to Google Ea!t$6

    A!o8i"atel& 73(7 1;

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    Si!e "6 %!g&. %angad, Ca'anatuan Cit&, Nueva Eci(a Cent!al LuzonH

    Coo!dinates o Site % acco!ding to Google Ea!t$6

    Longi!6de 6 121 02'36.56E

    L!i!6de 9 15 28'51.78N

    Elevation a'ove "ean sea level o Site % acco!ding to Google Ea!t$6

    A!o8i"atel& 77 ;e!er/ 4o)e ;en /e le)el

    Distance o Site % to Site A acco!ding to Google Ea!t$6

    A!o8i"atel& 73(7 1;

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    2. Path Prole and )e*ection Point

    Distance !o"

    Toe! AdA9#"H

    Distance !o"

    Toe! %d%,#"H

    Ea!t$Cu!vatu!e e',"H

    -at$Elevation eo,

    "H A+SL

    O'st!uction eig$t

    F!esnelAlloance

    Fi!stF!esne

    lRadius "H

    Oti"u"F!esnel

    Clea!anceB.3FH "H

    -at$Elevation

    it$Ea!t$%ulge"H

    A+SL

    Te!!ain

    B.BBB B.@B B.BBB = 3

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    @

    22 ?= 3.>22 ?B.@2;;3.==

    ?>..@B =.2 =? 3?.2 ?;.=3;2.2?

    =;;.=>> @2.2 lantation

    ;;.BB ?>.B@B =3.@B> =? 3@.@B> ?B.;;>.;?

    ?;;.@2B @>.@B> !ice /eld

    ;=.BBB ?2.@B =.@;

    >;;.3; @>.=B !ice /eld

    ;=.BB ?2.B@B =

    B;;.2;@ @

    =B.;>

    = ;=.;; @>.@;@ !ice /eld

    ;@.BBB ?3.@B ?B.B>= ;2 3?.B>= ?;.=@==B.@=

    ?;=.=@ @2.B>= !ice /eld

    ;@.BB ?3.B@B ?B. =>. @>.?> !ice /eld

    ;.BB ?.B@B ?;.>@2 ;< 3?.>@2 ?B.;B; =;.B@ ;=.3=3 @2.>@2 !ice /eld

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    @

    ;3.BBB ?@.@B ?=.B2 ;2 3.B2 =2.@3;=;.==

    =2.23=;.@B

    B;=.2@B B.B?> !ice /eld

    ;?< B.@B !ive!

    ; 32.B;= =.B ;.23< !ice /eld

    ;>.BBB ?;.@B ?.=; ;> 3>.=; =@.?3>==.;B

    ;?.=3? @.=; !ice /eld

    ;>.BB ?;.B@B ?.3B =; 3.3B 'uiltu a!ea

    =B.BBB ?B.@B ?.>=> ; 3.>=> =B B.>=> !ice /eld

    =B.BB ?B.B@B ?3.== ;< 32.== =.?B===.@B

    2;?.@@ ?.== !ice /eld

    =;.BBB =>.@B ?3.@>; ;3 3; =3.B;3==.@>

    B;?.@>@ =.@>; !ice /eld

    =;.BB =>.B@B ?3.

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    >

    [email protected] =3.B@B ?==.2B

    2;?.32 .=2 !ice /eld

    =.BBB =.@B ? ;2 ==.>22==.2;

    B .> !ice /eld

    =.BB =.B@B ?.3B [email protected];3==.2;

    B @.3B !ice /eld

    =3.BBB =@.@B ?@ @ !ice /eld

    ?;.BBB ;>.@B ?.3?= = .B@B ?.=2B =@

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    @

    ??.BBB ;>@ =2 >@ =B.;>2

    =;.B

    > ;=.3? >.>>@ !ice /eld

    ?.BB ;.B@B ?;.@B< =< 3.; cultivated land

    ?3.BB ;@.B@B ?B.;@ =2 .BBB ;;.@B =3.@ .;

    3 ;;.@>@ [email protected] ;;.B@B =.3= =2 32.3= =2.;=2;2.2

    3;;.?;@ ?.3= !ice /eld

    @B.BBB ;B.@B [email protected] ?B 3>.2BB =>;2.@

    ;;;.;=@ @.2BB settle"ent

    @B.BB ;B.B@B =?.>;> =2 33.>;> ?B.?B>;2.=B

    2;B.>= ;.>;> !ice /eld

    @;.BBB >.@B =?.BB2 => 3 ;

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    2 eat$e!

    @;.BB >.B@B ==.B32 => 33.B32 ?;.3B;

    B;B.@>@ ;.B32

    loose su!ace o! d!&eat$e!

    @=.BBB 2.@B =;.B>> ?; 3> ?B.22=;> !ice /eld

    @=.BB 2.B@B =B.;BB ?? 32.;BB ?B.;3;3.3>

    =;B.B; ?.;BB !ice /eld

    @?.BBB .B

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    B.@B B.BBB B.BBB

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    Ill6/!r!ion of P!+ Pro2ling

    B . BB B .B BB.BBBBBBB

    P!+ Pro2le

    Ea!t$ Cu!vatu!eG!ound ElevationT!ee G!ot$Line o Sig$tFi!st F!esnelonea'ove LOSFi!st F!esnelone'eloLOS3B oFi!stF!esnelonea'ove LOS

    3B oFi!stF!esnelone'eloLOS

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    IV( #loor Pln nd Per/0ec!i)e/

    1. Site +

    1.1. (loor Plan

    1.2. Pers"ective

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    Si!e "

    L!i!6de 1528'51.78 N

    Longi!6de 121 02'36.56 E

    Ele)!ion

    BAMSL

    "

    Si!e A

    L!i!6de 1520'28.65 N

    Longi!6de 12035'27 E

    Ele)!ion

    BAMSL

    = "

    O0er!ing

    #re86enc5

    .(%.7 GH:

    K #c!or 4

    3

    To!l P!+

    Leng!+

    B. #"

    Tree Gro*!+

    Allo*nce

    ;"

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    2. Site ,

    2.1. (loor Plan

    1.2. Pers"ective

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    V( Micro*)e P!+ Lin1 Reli4ili!5

    $( Clc6l!ion/

    1.1 Site $oordinates

    %ased on t$e alication Google Ea!t$, t$e locations it$ !esect tot$e latitude and longitude and t$ei! !esective elevation levels a'ove

    "ean sea level a!e t$e olloing6

    Si!e A9 "rg5( Sn!o Do;ingo C0/ Trlc

    Latitude 6 15 20'28.65N

    Longitude6 12035'43.27E

    Ele)!ion 4o)e ;en /e le)el

    =" A+SL

    Si!e "9 "rg5( "ngd C4n!6n Ci!5 N6e) Eci,

    Latitude 6 1528'51.78N

    Longitude6 121 02'36.56E

    Ele)!ion 4o)e ;en /e le)el

    " A+SL

    1.2 -reat $ircle Distance

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    T$e G!eat Ci!cle Distance !o" "ic!oave Site A and Site % is t$e

    lengt$ "easu!e o t$e a!c seg"ent connecting t$ese sites on t$e

    su!ace o t$e ea!t$. To co"ute o! t$e G!eat Ci!cle Distance, e

    use S$e!ical T!igono"et!& o! t$e o!"ulas.

    S$e!ical T!igono"et!& investigates t$e !elations 'eteen t$e a!ts

    o a s$e!ical t!iangle -al"e! and Leig$, ;>?H. Onl& $e!e in t$is

    docu"entation let us de/ne so"e a!ts and a!a"ete!s o! '!ie

    ino!"ation. -lease ta#e note t$at t$e olloing de/nitions "a& not

    'e e8act t$oug$ t$e& a!e !estated in anot$e! a&.

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    A Gre! Circleis a ci!cle

    t$at its cente! is also t$e

    su!ace o t$e s$e!e. It lies

    on t$e su!ace o t$e S$e!e

    A S0+ericl Tringleis

    t!iangle on t$e

    su!ace o a

    s$e!e c!eated '&

    t$!ee a!c

    seg"ents !o"t$!ee g!eat

    ci!cles

    A /ide of S0+ericl

    Tringleis t$e a!cKs angle

    "easu!e"ent it$ !esect to

    to ve!tices o t$e t!iangle

    and t$e cente! o t$e s$e!e.

    T$e!e a!e t$!ee sides in a

    s$e!ical t!iangle

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    In t$is Figu!e a, ' and c a!e t$e sides and

    A, % and C a!e t$e angles. To solve t$ese a!a"ete!s. In gene!al,

    acco!ding to -al"e! and Leig$ de!ived o!"ula suc$ as sine la and

    cosine la a!e suJcient to solve an& o'li0ue s$e!ical t!iangle. Ot$e!

    o!"ulas suc$ as Naie!Ks analogies a!e deli"ited in t$is docu"entation

    due to cu"'e!so"e solution.

    Angles and Sides a!e solved inte!c$angea'l&. To conve!t o!"ula in

    te!"s o sides and in te!"s o angles, e can use t$e !oe!t& alied to

    -ola! T!iangle

    Side/ !o Angle/ 9 a180A b 180B c 180C

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    An ngleo a S$e!ical

    T!iangle is an angle

    "easu!e"ent 'eteen to

    a!cs t$e& "eet at one ve!te8.

    T$e!e a!e t$!ee angles in a

    S$e!ical T!iangle

    A Polr Tringleis

    gene!ated $en t$e!e a!e

    t$!ee G!eat Ci!cle !o"

    t$!ee oles. T$ese oles

    a!e t$e ve!tices o t$e

    o!iginal s$e!ical t!iangle

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    Angle/ !o Side/9 A 180aB 180bC 180c

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er Vl6e

    longi!6deA Site A Longitude 12035'43.27E

    longi!6de" Site % Longitude 121 02'36.56E

    l!i!6deA Site A Latitude 15 20'28.65N

    l!i!6de" Site % Latitude 1528'51.78N

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    DGC Gre! Circle Di/!nce #"

    #or;6l 9sinA

    sin a=

    sinB

    sin b=

    sinC

    sinc La o SinesH

    La o Cosines a!a"ete!s inte!c$angea'le in te!"s o t$e

    givenH

    cosc=cosacosb+sin a sin b cosC

    Anot$e! La o Cosines '& t$e use o !oe!t& o -ola!

    T!iangles

    cosC=cosA cos B+sinA sin B cos c

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    Let us denote G!eat Ci!cle Distance asDGC . Conside! t$e Site A and

    Site %Ks latitude and longitude, t$e e0uato!, t$e No!t$ -ole and t$e

    S$e!ical T!iangle o!"ed '& Site A, Site % and No!t$

    -ole

    Sol6!ion

    #or DGC

    Dete!"ine t$e side o t$e e0uato! $ic$ is t$e die!ence 'eteen

    longi!6deA longi!6de"

    |longitudeAlongitude B|=120 35'43.27 - 121 {02} ^ {'} 36.56

    |longitudeAlongitudeB|=0 26'53.29

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    Dete!"ine angle C, t$e angle it$ !esect to t$e no!t$ ole and to

    oints t$at inte!sect longi!6deA longi!6de" and e0uato!. 5sing Sine

    La6

    c=|longitudeAlongitudeB|

    c=0 26'53.29

    equatora=90 (north pole )

    angle

    A=90(equatorlongitude)

    sin C

    sin c=

    sinA

    sin a sin C

    sin|longitudeAlongitudeB|=

    sin 90

    sin 90

    0 26'53.29}

    sin C=sin

    0 26'53.29}}

    sin C=sin1

    C=0 26 '53.29

    Dete!"ine sides ' and a '& su't!acting t$e latitude !o" 90 No!t$

    -oleHb=90latitudeA=901520

    '28.65

    b=74 39 '31.35

    a=90 latitudeB=90 15 28'51.78

    a=74 31'8.22

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    Dete!"ine t$e deg!ee "easu!e o t$e side c T$e G!eat Ci!cle DistanceH

    cosc=cos acosb+sin a sin bcosC

    74 31'8.22} cos {74 {39} ^ {'} 31.35=0 4'14.23}}

    b=coscos a cos

    b=0.07061944444cosa cos

    0 26'53.29}

    sin a sin bcosC=sin 74 31'

    8.22} sin {74 {39} {'} 31.35 cos

    sin a sin b cosC=0.92935

    (0.07061944444+0.92935)

    c=cos1

    c=0.454065933016206

    DGC=0.4540659330434020 27'14.64

    T$eDGC G!eat Ci!cle DistanceH is a deg!ee "easu!e. To dete!"ine t$e

    a!a"ete! in #ilo"ete!s, e $ave to dete!"ine t$e ea!t$Ks at$ !adius

    using 'ot$ e0uato!ial and ola! !adius o ea!t$. Acco!ding to Qize!, o!

    "ost "ode!n "a coo!dinate s&ste"s, t$ese a!a"ete!s used a!e t$e

    olloing to solve t$e !adius on ea!t$Ks at$ RH.

    Re=Eart h'sradius (equatorial )=6378.1!

    Rp=Eart h'sradius (polar )=6356.8 !

    E2(eccentricit")2=

    Re2Rp

    2

    Re2

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    6356.82

    6378.1

    (6378.1)2

    E2=

    E2=0.00666795245152689

    R=Eart h'sradiuson path

    R= R#

    1E2$cos (

    latitudeA+latitudeB2

    )

    R= 6356.8 !

    1(0.0066795245152689)$cos (15 20

    '28.65 + 15 {28} ^ {'} 51.78

    2 )

    R=6377.33041457035 !

    T$e Ci!cu"e!ence o a ci!cle is a!o8i"ated as6

    Circu!%erence=2 &R=2 &(6377.33041457035 !)

    Circu!%erence=40069.9487598579 !

    T$e G!eat Ci!cle distance is /nall& co"uted as it is t$e a!tial deg!ee

    "easu!e !o" one !evolution ?3B

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    DGC(!)= DGC

    360( Circu!%erence )

    DGC(!)=0.454065933043402

    360 ( 40069.9487598579 ! )

    DGC(!)=50.5399963073505 ! 50.54 !

    1.3 O"erating (re'uency

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er Vl6e

    R(Urange Radio F!e0uenc& 5nit

    Radio E0ui"ent

    Seci/cationH

    4 G)* 38G)*

    A(range Antenna F!e0uenc&

    Antenna E0ui"ent

    Seci/cationH

    7.125G)* 7.750G)*

    R( UCB

    Radio F!e0uenc& 5nit

    C$annel %andidt$

    Radio E0ui"ent

    Seci/cationH

    30M)*

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

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    % Oe!ating F!e0uenc& Gz

    Since t$e t&ical !e0uenc& 'and o! "o!e t$an ?B #" "ic!oave

    lin# is

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    1.! +ntenna eight

    P!+ Clernce

    F!esnel one is used to desc!i'e t$e a"ount o clea!ance To"asi,

    =B;@H. A F!esnel one is a locus o oints an elliseH in $ic$ a ave is

    !eected it$ an additional "ultile o $al avelengt$. In an instance,

    t$e Fi!st F!esnel one $as a !oagation dela& o $al a avelengt$. Fo!

    t$e F!esnel zone !adius, t$e o!"ula in te!"s o avelengt$ . H,

    distance !o" Site A dH, total LOS at$ DH, is a!o8i"ated '& a a!a'ola

    desc!i'ed as To"asi, =B;@H.

    (nn. (Dd)

    d

    4$e!e(n= nt$ F!esnel one

    . / d /D / (n= All units a!e t$e sa"e ", #", etc.H

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    Fo! t$e Fi!st F!esnel one, t$e e0uation is si"li/ed as ollos, Qize!,

    =B;?H

    (1=17.3

    d1 d2

    %(G)*)D(!)

    4$e!e(1= Fi!st F!esnel one "ete!sH

    d1= distance !o" Site A #ilo"ete!sH

    d2= distance !o" Site % #ilo"ete!sH

    D(!)d1

    D(!)= LOS at$ unit in #ilo"ete!sH

    As !ecentl& discussed, t$e e0uations given a!e a!o8i"ated '& an

    e0uation !elated to a a!a'ola. %ased on t$e de/nition o t$e Fi!st F!esnel

    one, a !eection on t$e locus o t$e /!st F!esnel zone e!tains to an

    additional distance o $al a avelengt$. In t$is case, t$e o!"ula e "ust

    use is t$e e0uation o an ellise !at$e! t$an a a!a'ola. In t$is

    docu"entation, e ill de!ive t$e o!"ula o! t$e nt$ F!esnel one in

    te!"s o an ellise.

    -!oe!ties o an Ellise

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    E0uations6

    02

    a2+"

    2

    b2=1

    a2=b2+c2

    +a(o! A8is distance =a

    +ino! A8is distance ='

    Distance 'eteen oci =c

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    Let us !elate t$e !oe!ties to t$ose o t$e F!esnel one. O'se!ve t$at

    b=(n=nth (resnel radius

    2 c=D=123 path

    a+a=2 a=re%lected +a4edistance

    2 a=D+n(.2 )

    Re"e"'e! t$at antennas a!e located at t$e ocus o t$e ellise.

    Su'stituting t$ese values to t$e ellise e0uation leads to

    02

    a2+

    "2

    b2=1

    "2=b2(10

    2

    a2 )

    "=5(2D+n. )24D2

    16 (1 1602

    (2D+n. )2 )

    Let us t!anslate 0 as t$e distance is !o" Site A BH to an& oint !o"

    Site A d H,

    0 dD

    2

    Let 0=dD

    2

    "=2D+n.

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    a2=(2D+n.4 )

    2

    b2=a2c2

    b2=

    2D+n. 2

    D 2

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    2D+n.24D2

    *=

    T$en t$e o!"ula o! t$e nt$ F!esnel one !adius is9

    (n= (* )(11602

    "2 )

    4$e!e 0=dAD

    2

    "=2D+n.

    *="

    24D2

    16

    dA=distanceA

    D=123 length

    .=speed o% light(! / s)

    %requenc"()*)

    T$e o!"ula o! t$e /!st F!esnel one n;H is

    (1

    =

    (* )

    (1

    1602

    "2

    )4$e!e

    0=dD

    2

    "=2D+.

    *="

    24D2

    16

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    d=distanceA

    D=123 length

    .=speed o% light(!/ s)

    %requenc" ()*) =

    299792458 ! /s%requenc" ()*)

    T$e 3B o t$e Fi!st F!esnel one is

    (0.6=0.6((1)

    Inclined #re/nel one

    4

    $e

    n t$e antenna $eig$ts o Site A and % die!, t$e line o sig$t is inclined.

    T$e F!esnel one is also inclined. -at$ !o/les contains o'(ects suc$ as

    F!esnel zone, antennas, o'st!uction oints and elevations it$ !esect to$eig$t. As t$e clea!ance gets inclined, t$e F!esnel one !adius also gets

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    inclined. T$is !ee!s to a slant $eig$t. T$e a!a"ete! conce!ned. In t$is

    case is t$e ve!tical distance !o" LOS to F!esnel one () and

    (1 H. A

    "o!e tedious anal&sis is !e0ui!ed to ove!co"e t$is !o'le".

    O'se!ve t$e olloing a!a"ete!s6

    hA and

    hB= antenna $eig$t o Sites A and % a'ove "ean sea level

    "ete!sH

    DGC= G!eat Ci!cle Distance "ete!sH

    6= angle o inclination

    tan 6=hBhA

    DGC

    D= LOS at$

    h(DGC)

    2+(BhA)2

    D=

    dA= distance !o" Site A

    d= LOS at$ !o" Site A

    d= dA

    cos6

    =906

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    7)=equi4alenthigher (resel radius(!eters)

    71=equi4alent lo+er (resel radius(!eters)

    ()=4ertical distance123 higher (reselradius(!eters)

    (1=4erticaldistance 123 lo+er (reselradius(!eters)

    906()

    = =

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    tan

    (hBhADGC )1

    cos

    ()=7)

    tan

    (hBhADGC )1

    cos

    (1=71

    Conside! t$e st!aig$t line as() and

    (1 . Dete!"ine7) and

    71

    t$en use t!igono"et!ic unction instantl&.

    3lope (! )=cot 6

    E0uation o To-oint Sloe Fo!"6 (""1 )=!(001)

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    Let"1=0, 01=d

    "=! (0d ) "=!0!d"+!d=!0

    0=

    "

    !+d

    Su'stitute to Fi!st F!esnel Radius e0uation

    2D+. 2

    1

    16(0D2)2

    ()

    ( (2D+. )24D2

    16 )"=5

    2D+.2

    116("!+dD2)

    2

    ()

    ( (2D+. )24D2

    16 )"

    2=5

    Let *=( (2D+.)24D2

    16 )

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    2D+. 2

    16(dd2 )2

    * ( (2D+. )2)=0

    ()+

    32*(dD2)

    "2(1+ 256*!2 (2D+. ) )+7

    Let A=1+ 256*!

    2(2D+.)=1+

    256*

    (1

    !

    )

    2

    "

    B=32* (dD2)(2D+.)2

    =320*

    "2

    C=* (16 (

    dD

    2)2

    (2D+. )2

    )

    (2D+.)2 =

    * (1602"2)

    "2

    A"2+B"+C=0

    "=B5B24AC

    2A

    T$e a!a"ete!s() and

    (1 a!e t$e $ig$e! and loe! inclined F!esnel

    ones.

    ()= 7)

    cos(tan1(hBhADGC ))

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    (1= 71

    cos (tan1(hBhADGC ))

    71=

    BB24AC

    2A

    D=(D GC)2+(hBhA)

    2

    d= dA

    cos

    (tan1

    (hAhBDGC ))

    .=c

    %=

    299792458 ! /s%requenc" ()*)

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    7)=B+B24AC

    2A

    4$e!e A=1+256*

    (1

    ! )2

    "

    B=

    320*

    "2

    C=* (1602"2)

    "2

    0=dD

    2

    "=2D+.

    *=

    "24D2

    16

    1

    !=tan 6=

    hBhADGC

    Co"ute t$e o!"ula o! 3B F!esnel clea!ance, "ultil& B.3 to F!esnel

    one !adius, &.

    "0.6=0.6"

    ( 10.6 )"0.6="

    [( 10.6 )"0.6]2

    ="2

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    ( 10.36 )"0.62 ="2

    T$e acto!1

    0.36 o! t$e 3B F!esnel Clea!ance is analogous to a acto!

    1 to "2

    o t$e Fi!st F!esnel one Radius. T$e!eo!e, t$e !evious

    e0uations $ave e8!ession 1 c$anged to1

    0.36 .

    ()(0.6 )= 7)(0.6 )

    cos(tan1(hBhADGC))

    (1(0.6)= 71(0.6 )

    cos(tan1(hBhADGC))

    4$e!e6

    7)(0.6)=B+B24AC

    2A

    71(0.6)=

    BB24AC2A

    0=dD

    2

    "=2D+.

    *="

    24D2

    16

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    A= 1

    0.36+

    256*(1! )2

    "

    B=

    320*

    "2

    C=* (1602"2)

    "2

    d= dA

    1 hBhA

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    1

    !=tan 6=

    hBhADGC

    D=(D GC)2+(hBhA)

    2

    .=C%=299792458 ! /s

    %requenc" ()*)

    Line of Sig+! E86!ion

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    In o!de! to lot t$e F!esnel zone on t$e at$ !o/le, e "ust conside!

    elevation due to line o sig$t. So e de!ive t$e e0uation o! t$e Line o

    Sig$t

    O'se!ve t$e olloing a!a"ete!s

    hA= antenna $eig$t at Site A a'ove "ean sea level "ete!sH

    hB= antenna $eig$t at Site % a'ove "ean sea level "ete!sH

    DGC= G!eat Ci!cle Distance "ete!sH

    hi= $eig$t o inclination

    h123= line o sig$t $eig$t it$ !esect to distance !o"e Site A

    "ete!sH

    Conside! to t!iangles o!"ed '&hA /123/dA , 5sing si"ila! t!iangles

    e !elate t$ese a!a"ete!s.

    hi

    dA=

    hBhADGC

    hi=dA (hBhA)

    DGC

    Add t$e $eig$t o inclination hi H to t$e $eig$t o Site A antenna

    hA

    to /nd t$e LOS

    h123=hA+hi

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    h123=hA+dA(hBhA)

    DGC

    An!enn Heig+! Clc6l!ion

    4e

    design a

    "ic!oave lin# t$at eac$ site $as t$e sa"e a!a"ete!s suc$ as antenna

    $eig$t, aveguide lengt$ and toe! $eig$t. Fo! Identical calculation o

    'ot$ sites o! toe! $eig$t and aveguide lengt$, e conside! t$e

    antenna $eig$t a'ove g!ound level t$e sa"e. T$is "eans antenna $eig$t

    a'ove "ean sea level a!ea is t$e /!st a!a"ete! to calculate. T$e

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    e0uations o! F!esnel one e de!ived a!e alied as e dete!"ine t$e

    a!o!iate antenna $eig$t.

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    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    DGC Total distance "H B?>.>>3?B

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    hB=aB+eB since aA=aB

    hB=aA+eB

    hBhA=aA+eB(aA+eA)

    hBhA=eBeA

    eBeA=55!52!

    eBeA=3!=hBhA

    D=(D GC)2+(hBhA)

    2

    (DGC)2+(eBeA)

    2

    (50539.9963073505 !)2+(3 !)2

    D=50539.9963963889 !

    6=tan1(hBhADGC )

    d= dA

    cos(tan1(hBhADGC ))=

    34500 !

    cos(tan1( 3 !50539.9963073505 ))=34500.0000607801 !

    No o! t$e F!esnel zone !o" LOS,(1

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    0=dD

    2=34500.0000607801 !

    50539.996396889 !

    2

    0=9230.00186258562

    "=2D+.=2 (50539.996396889 ! )+299792458 ! /s

    7.275 $109)*

    "=101080.034001363

    50539.9963963889 !2

    101080.034001363 ! 2

    4

    *="

    24D2

    16 =

    *=520.670544147491

    1

    !=tan 6=

    hBhADGC

    = 3 !

    50539.9963073505 !

    1

    !=5.93589279618464$105

    5.93589279618464 $105 2

    256

    (520.67054414791

    )(101080.034001363

    )1+

    A=(1+ 256*(1

    ! )2

    " )=

    A=1.00000000464633

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    101080.034001363 2

    B=320*

    "2 =

    32(9230.00186258562)(520.670544147491 )

    B=0.01505164667552137

    101080.034001362 2

    9230.0018625856 !2()!

    101080.034001362

    16(520.67053125 !2)

    C=* (1602"2)

    "2

    =

    C=451.20718035469

    71=BB24AC

    2A

    451.20718035469

    (0.01505164675 )24 (1.000000004 )(0.01505164675 )

    71=

    71=21.2491649996457 !

    |(1|=| 71

    cos(tan1(hBhADGC))||(1|=

    |

    21.2491649996457 !

    cos

    (tan

    1

    (

    3 !

    50.5399963073505 !

    ))| %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    |(1|=21.24916503708120 !

    Vri4le Pr;e!er Uni!

    eb Ea!t$ 'ulge at t$e ointo o'st!uction

    ", A+SL

    #or;6l9 eb=dA(DGCdA)

    12.75

    eb=(34.5 )(50.539996307350534.5)

    (12.75)(4

    3 )

    =32.551757211976 !

    Vri4le Pr;e!er Uni!

    h2 Total $eig$t o

    o'st!uction

    ", A+SL

    #or;6l9ho=eb+T ,G+eo+10

    ho=32.551757211976+15+29+10

    ho=86.551757211976 !

    Line of Sig+! Ele)!ion

    h123=ho+|(1|=86.551757211976 !+21.2491650370812 !

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    NOTE6

    ;B" alloance

    'eteen Line o

    Sig$t and Total

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    h123=107.800922249057 !

    Vri4le Pr;e!er Uni!

    aA Antenna eig$t at Site A ", AGL

    aB Antenna eig$t at Site % ", AGL

    hA Antenna eig$t at Site A ", A+SL

    hB Antenna eig$t at Site % ", A+SL

    #or;6l h123=hA+dA(hBhA)

    DGC hA=h123

    dA (hBhA)

    DGC

    hA=107.80092249057 ! 34500 !(3!)

    50539.9963073505 !

    hA=105.753039234374 !/ AM31

    (hBhA)=3 !

    hB=hA+3 !=105.753039234374 !+3 !=108.753039234374 !/ AM31

    aA=hAeA=105.753039234374 !52 !=53.753039234374 !/ AG1

    aB=hBeB=108.753039234374 !55!=53.753039234374 !/AG1

    aA=53.753039234374 ! / AG1 )eight o% Antennaat 3ite A AG1

    aB=53.753039234374 ! / AG1 )eight o% Antennaat 3ite B AG1

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    1.# +ntenna Orientation

    $(7($ Pnning Angle

    Antennas o "ic!oave Site A and Site % a!e to 'e

    anned toget$e! in te!"s o t$ei! 'ea!ing to esta'lis$ a line o

    sig$t LOSH. In o!de! to co"ute t$ei! !esective 'ea!ings in

    te!"s o t$e given latitude and longitude.

    Site A and Site % $ave t$e olloing 'ea!ings.

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    Angles A and % dete!"ine t$e deg!ee "easu!e o

    antenna anning it$ !esect to ea!t$Ks g!id no!t$ di!ection.

    Angle A is an acute angle and Angle % is an o'tuse angle.

    Longitude g!ids o Site A and Site % a!e not conside!ed as

    G!eat Ci!cles 'ecause t$e e0uato!0 H is t$e onl& la!gest

    ci!cle a"ong ot$e! longitude g!ids. %ut since t$e SiteKs est

    and east di!ections a!e tangent to g!eat ci!cles e!endicula!

    to SiteKs latitude g!id, t$e angle anning is delo&ed t$e

    sa"e.

    4e co"ute angles A and % using s$e!ical

    t!igono"et!ic o!"ula.

    Gi)en Pr;e!er/9

    Vri4le Uni! Vl6e

    DGCc degree 0.454065933043402

    a degree / !inutes / seconds 74 31'8.22

    b degree /!inutes /seconds 74 39'31.35

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    A Angle degree/!inutes / seconds

    " Angle degree / !inutes / seconds

    #or;6l9 Cosine La o! Angle AH

    c+ sin b sin c cosAcosa=cosbcos

    Cosine La o! Angle %H

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    cosb=cos acosc+sin a sin c cos B

    Sol6!ion for Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    A Angle degree / !inutes / seconds

    #or;6l 9 cosa=cosb cosc+sin b sin c cosA

    (cosacos b cos c

    sin b sinc )

    A=cos1

    74 31'8.22)} sin( { 0.454065933043402} )} i!"t )}

    sincos(74 31'8.22)} -cos {(74 {39} ^ {'} 31.35)cos (0.454065933043402 )

    A=cos1

    A=72.014273758510972 0'51.39

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    Vri4le Pr;e!er Uni!

    B Angle degree/!inutes / seconds

    #or;6l 9 cosb=cos acosc+sin a sin ccos B

    cos bcosa cosc

    sin asinc

    B=cos1H

    7431'8.22)} sin {( 0.454065933043402 )}} )

    sin

    cos(74 39'31.35)} - cos {( 74 {31} ^ {'} 8.22)cos(0.454065933043402)

    B=cos1

    B=107.8666360701080107 51'59.89

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    Site A6 Caas, Ta!lac

    G!id No!t$6

    72 0'51.39) E

    8

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    Site %6 Ca'anatuan, Nueva

    Eci(a

    G!id No!t$6

    10751'59.89) #

    8

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    $(7(% An!enn Til!ing

    An!enn L6nc+ Angle

    To dete!"ine t$e launc$ angle it$ !esect to t$e $o!izon,

    e conside! t$e antenna $eig$t a'ove "ean sea level and t$e ea!t$

    cu!vatu!e. %ased on t$e o!"ula !o" Qize! =B;?H, t$e antenna

    launc$ angle 6 o! eac$ site is

    (2)6= tan1(1)sin

    1

    4$e!e tan1(1) H is t$e angle it$ !esect to at ea!t$

    su!ace and

    (2)

    sin1

    H is t$e angle conside!ed o! ea!t$ cu!vatu!e.

    4e also $ave to denote $ic$ antenna is t$e a! end and nea! end.

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    In e8a"le o! Site A, nea!end antenna is at Site A and t$e a!end

    antenna is at Site %.

    Gi)en Pr;e!er/9Vri4le Pr;e!er=Uni! Vl6e

    hA Antenna $eig$t o Site A, A+SL

    "H

    ;B.=?@?>>3?B

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    h8= nea!end antenna $eig$t a'ove "ean sea

    level

    #or Si!e A

    h8=hA=105.753039234374 !

    h(=hB=108.753039234374 !

    1=h(h8D

    G(!)

    =108.753039234374 !105.753039234374 !

    50.5399963073505 $10

    3

    !

    1A=5.93589279618464 $ 105

    tan11

    A=tan1(5.93589279618464 $105)

    tan11

    A=0 0'12.24366

    #or Si!e "

    h8=hB=108.753039234374 !

    h(=hA=105.753039234374 !

    1=h(h8DG(!)

    =108.753039234374 !105.753039234374 !

    50.5399963073505 $103!

    1B=5.93589279618464 $105

    tan11

    B=tan1(5.93589279618464 $ 105)

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    tan11

    B=0 0 '12.24366

    Solution o! sin1(2) H o! Site A and Site % it$ !esect to

    ea!t$ cu!vatu!e.

    h

    DGC(!)2

    2=

    4$e!e9h

    ((h8)

    can eit$e! 'eh

    (AhB)

    orh

    (BhA)

    since

    s0ua!ing "a#e it ositive,

    DGC(!)= G!eat Ci!cle Distance

    K=ea!t$Ks !adius acto! 6/e9

    4

    3

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    a= ea!t$Ks !adius 6367 ! F 'ut since t$e ea!t$Ks !adius on

    at$ e solved o! G!eat Ci!cle Distance solution is

    R 6377.330415 ! , e su'stituted a o! R

    h

    DGC(!)2

    2=

    50.5399963073505 $ 1032

    108.753039234374 !105.753039234374 !2+

    2=

    2=2.971854587515940 $103

    sin1(2)=sin1(2.971854587515940 $103)

    sin1(2)=0 10

    '12.98991

    To /nall& solve o! t$e antenna launc$ angle o! Site A

    and Site %, su'stitute tan1(1) H, sin

    1(2) H o! Site A and

    tan1(1) H, sin

    1(2) H o! Site %.

    Si!e A An!enn L6nc+ Angle

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    Launc$ Angle o! Site A 6

    (2)6

    A

    =tan1(1A)sin1

    6A=0 0 '12.24366-010'12.99248

    6A=0 10'0.746

    Launc$ Angle 'elo o!izon

    6A=0 1 0'0.746

    Si!e " An!enn L6nc+ Angle

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    Launc$ Angle o! Site % 6

    (2)

    6B=tan1(

    1B)sin1

    6B=0 0 '12.24366-010'12.99248

    6B=0 1 0'25.236

    Launc$ Angle 'elo o!izon

    6B=0 1 0'25.236

    Site A antenna launc$ angle

    6A=0 1 0'0.746

    Site % antenna launc$ angle

    6B=0 1 0'25.236

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    1./ )e*ection Point

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    hA Antenna $eig$t o Site A, A+SL

    tH

    ?@3.>2B;?>B

    =;hB Antenna $eig$t o Site %, A+SL

    tH

    ?3.2B;?B>2=@B

    3BDGC Total Distance "iH ?;.@B@;

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    DGC2

    DGC

    2

    0= hA

    31.4041758157695 2

    0=346.958790139021

    31.4041758157695 2

    "=357.8730968

    G1= 1

    1+"0=

    1

    1+ 0.3617859020.351805881G1=0.496503425

    d1=G1 (DGC)=(0.496503425 )(31.4041758157695)

    d1=15.59228084 !i=25.09328125 !

    d2=DGCd1=50.54!25.09328125 !

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    d2=25.4467151 !

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    1.0 ransmission $alculation

    1.0.1 )adio (re'uency Pro"agation -ain

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    d Antenna Dia"ete! "H =.@Antenna Seci/cationH

    % Oe!ating

    F!e0uenc&GzH

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    G=GA /GBGA=42.64088479 dBiGB=42.64088479 dBi

    Vri4le Pr;e!er Uni!

    GT Radio o !e0uenc& total

    Gain

    d%i

    #or;6l 9GT=GA+GB

    GT=42.64088479 dBi+42.64088479 dBi=85.28176957 dBi

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    1.0.2 )adio (re'uency Pro"agation %oss

    1.0.2.1 aveguide %oss

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    hA Antenna eig$t at Site

    A AGL "H

    ?.=?@?

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    11=d tr

    4$e!e11 is aveguide lengt$ !o" !adio !oo" to /!st 'ent

    aveguide

    11=d tr=3.3!.26 !

    11=3.04 !

    12=hhe2 r

    4$e!e12 is aveguide lengt$ !o" /!st 'ent aveguide to

    second 'ent aveguide.

    12=hhe2 r=54 !+1.35 !2( .26 !)

    12

    =51.88303923437 !

    Finding13 F

    5sing !oo!tion6

    hs

    (hth)=(d 31d 3))

    0

    0=(d 31d 3))(hth)

    hs

    "/ed on !o*er /ec!ion &WN

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    d31=0.3226!

    d3)=0.2640!

    hs=6.096 !

    ht=56 !

    4$e!ed31 is distance !o" cente! to ve!te8 o loe! section

    d3) is distance !o" cente! to ve!te8 o $ig$e!

    section

    hs is $eig$t o to section

    ht elevation o ea# o toe! it$ !esect to

    g!ound

    0=(0.3226 !0.2640!)(56!54!)

    6.096 !

    =0.02159972127 !

    4e e0uate distance !o" antenna to cente! o toe!

    13+r=0+d3)

    13=0+d3)r=0.019226 !+0.2640 !0.26 !=0.02559972127 !

    1B=&r

    2=

    &(0.26 !)2

    =0.40840704497 !

    4$e!e1B is lengt$ o 'ent aveguide

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    T$en91B at Site % is 9

    11+12+

    91B= 13+n1B(9A )

    91B= (3.04 !+52.13!+0.023226 !+(2 ) (0.408407 ! )) (4.83 dB100!)91B=2.693471382dB

    91B at Site % 2.693471382 dB

    #or !o!l leng!+ *= 4ending ! Si!e "

    11+12+13+n1B=3.04!+51.88303923437 !+0.0232256!+2 (0.408407 ! )

    55.76545304558 !

    Sol6!ion for91B at Site A 9

    #or;6l for91B :

    11+12+91B=

    13+n1B (9A )

    Solution o!11

    12 13

    n1B

    11=d tr

    4$e!e11 is aveguide lengt$ !o" !adio !oo" to /!st 'ent

    aveguide

    11=d tr=3.3!.26 !

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    11=3.04 !

    12=hhe2 r

    4$e!e12 is aveguide lengt$ !o" /!st 'ent aveguide to

    second 'ent aveguide.

    12=hhe2 r=53.7530392344!+1.35 !2(.26!)

    12=51.8830392344 !

    Finding13 F

    5sing !oo!tion6

    hs

    (hth)=(d 31d 3))

    0

    0=(d 31d 3))(hth)

    hs

    "/ed on !o*er /ec!ion &WN

    d31=0.3226!

    d3)=0.2640!

    hs=6.096 !

    ht=56 !

    4$e!ed31 is distance !o" cente! to ve!te8 o loe! section

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    d3) is distance !o" cente! to ve!te8 o $ig$e!

    section

    hs is $eig$t o to section

    ht elevation o ea# o toe! it$ !esect to

    g!ound

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    0=(0.3226 !0.2640!)(56!53.7530392344 !)

    6.096 ! =!

    4e e0uate distance !o" antenna to cente! o toe!13+r=0+d3)

    13=0+d3)r=0.00961286 !+0.2640 !0.26 !=0.01361286 !

    1B=&r

    2=

    &(0.26 !)2

    =0.4084070450 !

    4$e!e1B is lengt$ o 'ent aveguide

    T$en91B at Site % is 9

    11+12+91B= 13+n1B(9A )

    91B= (3.04 !+53.13 !+0.01361286 !+(2 ) (0.408407 ! )) ( 4.83 dB100!)91B=2.693471382dB

    91Bat Site A

    2.693471382dB

    #or !o!l leng!+ *= 4ending ! Si!e A

    11+12+13+n1B=3.04 !+51.883039 !+0.0255997 !+2 (0.408407 ! )

    55.76545305 !

    #or !o!l co;4ine *)eg6ide lo// fro; Si!e A nd "

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    9T=91B at Site A +91B at Site %

    9T=2.693471382 dB+2.693471382 dB=5.38694271382 dB

    Gi)en Pr;e!er/9Vri4le Pr;e!er=Uni! Vl6e

    DGC Total distance #"H B.?>>>3?

    % Oe!ating F!e0uenc&

    GzH

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    1.0.2.3 et Path %oss

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    9T 4aveguide total loss at

    Site A and Site % d%H

    5.386942764

    (31 F!ee Sace -at$ Loss d%H 143.7093641

    R1 Rado"e loss d%HRado"e Seci/cationH

    0.8

    -1 Inse!tion Loss d%HConnecto!s

    Seci/cationH

    0.01

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    8#1 Net -at$ Loss d%

    #or;6l 9

    -

    (1)8#1=9T+(31+2 (R1 )+4

    8#1=5.386942764 +143.7093641+2 (.8 )+4(.01)

    8#1=150.7363068 dB

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    1.0.3 (ade 4argin

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    8#1 Net -at$ Loss d%H 150.7363068

    GT Radio F!e0uenc& Total

    Gain d%iH

    85.28176957

    #o T!ans"itte! Outut -oe!

    d%"HRadio E0ui"ent

    Seci/cationH

    ??

    Rs -!i"a!& S&ste" !eceive!t$!es$old d%"H

    Radio E0ui"ent

    Seci/cationH

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    #or;6l 9

    R(M=R31( 3)

    (M=32.46949553 dB!(70.5 dB!)

    (M=38.04546274 dB

    1.0.! )eliability of the 4ain System

    R5leig+ Di/!ri46!ion T4le

    #de Mrgin Bd" Relia'ilit& H

    > >B

    $> >>

    %> >>.>

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    &> >>.>>

    '> >>.>>>

    7> >>.>>>>

    4e de!ive o! t$e o!"ula o! !elia'ilit& it$ an a!'it!a!& value o

    ade "a!gin. T$e ade "a!gin is in a!it$"etic se!ies 'ecause eac$

    to consecutive te!"s $ave a die!ence o sa"e value o d=10

    (irst ter! :a1=8

    3econd ter!: a2=18=8+10=a1+d

    Thirdter!:a 3=28=8+2 (10 )=a1+2 d

    I n=3 , t$en n1=2

    /a n=a1+( n1 ) d

    Sincean is t$e ade "a!gin, n is de!ived as ollos9

    (M(dB)=a1+ (n1 ) d

    8+(n1 )10

    8+10 n10

    (M(dB)=10 n2

    n=(M(dB )+2

    10

    Fo! t$e !elia'ilit& let us conside! a geo"et!ic se!ies su't!acted !o"

    ;BB6

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    (irst ter! :b1=90=10010=100101=10010(21)

    3econd ter!: b2=99=1001=100100=10010(22)

    Thirdter!:b 3=99.9=1000.1=100101

    =10010(23 )

    (ourthter!:b4=99.99=1000.01=100102=10010(24)

    I n=4 ,

    T$en bn=10010(2n)

    Since6 bn=reliabilit"( )

    reliabilit" ( )=10010(2n)

    Su'stituting n o!(MdB+2

    10 !elia'ilit& $as o!"ula in te!"s o

    Fade +a!gin

    reliabilit" ( )=10010(2((M(dB )210 ))

    reliabilit" ( )=10010(20(M(dB )210 )

    reliabilit" ( )=10010(18(M(dB )

    10

    )

    4$e!e 6 !elia'ilit& is in e!cent ( ) and Fade +a!gin is in d%H

    Reliabilit" o% the Main 3"ste!=10010( 1838.0454627410 )

    Reliabilit" o% the Main 3"ste!=99.99010414

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    1.0.# ot5Standby System

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    R3 -!i"a!& s&ste" !eceive!

    t$!es$old d%"H

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    Reliabilit" o% the )ot3tandb" 3"ste!=99.87541845113260

    1.0./ Overall System )eliability 6171 redundancy8

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    R) Relia'ilit& o t$e $ot

    stand'& s&ste" H

    >>.2

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    U T$e 5navaila'ilit& o

    t$e Ove!all S&ste"

    Relia'ilit& ;;

    !edundanc&H

    sec

    "r /

    !in

    "r /

    hr

    "r

    #or;6l 9U=1RT

    U=10.9999998758636110=0.0000001232842088416670

    U=0.0000001241363886128610 (365da"s1"r )(

    24hr1 da" )(60!ins1 hr )(

    60 sec1 !in)

    U=3.88789081sec

    "r :0.06479818

    !in

    "r :0.00107997

    hr

    "r

    T$e unavaila'ilit& o t$e ove!all s&ste" it$ ;; !edundanc&H

    3.88789081sec

    "r /0.06479818

    !in

    "r /0.00107997

    hr

    "r

    1.0.0 9navailability ,ase on )adio (re'uency Pro"agation

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    (M Fade +a!gin o t$e "ains&ste" d%H

    ?2.B@@3=

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    DGC Total Distance "iH ?;.@B@;

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    0.25 (%or a4erageinland areas )

    0.25 (%or 4er" dr"!ountainousareas )

    31.4041758157695 3(1.25$ 106)(1 038.04546274

    10 )

    7.2751.6Undp=(1 )(.25)

    Undp=0.00003632442465046420 ( 365 da"s1"r )( 24hr

    1 da" )( 60!ins

    1 hr )( 60sec

    1!in)

    Undp=1145.527056sec

    "r /19.15785072

    !in

    "r / 0.319297512

    hr

    "r

    T$e unavaila'ilit& 'ase on !adio !e0uenc& !oagation is

    1145.527056sec"r

    : 19.1585072 !in"r

    :0.319297512 hr"r

    4it$ !elia'ilit& o 99.99636756

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    1.0.: )eliability with S"ace Diversity

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

    (M Fade +a!gin o t$e "ain

    s&ste" d%H

    ?2.B@@3=

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    #or;6l 9

    s

    -sd=(1.2$103 )( %G)*DGC)

    8.247422682(1 038.04546274

    10 )

    -sd=(1.2$ 103)( 7.275

    50.539996073505)

    -sd=74.91379863168370

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    UT Total unavaila'ilit& it$

    sace dive!sit&

    5nitless

    #or;6l 9 UT=Undp

    -sd

    UT=0.00003632442465046420

    74.91379863168370 =0.0000004848829630046470

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    RT Total !elia'ilit& it$

    sace dive!sit&

    #or;6l 9RT=1UT

    RT=10.0000004848829630=0.9999995151

    Total !elia'ilit& it$ sace dive!sit& is 99.99995151

    1.: Overall System )eliability of the System and Pro"agated

    )adio ave with ot5 Standby and Diversity

    Gi)en Pr;e!er/9

    Vri4le Pr;e!er=Uni! Vl6e

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    RT3 Total !elia'ilit& o t$e

    s&ste" it$ otstand'&

    !otection H

    >>.>>>>2

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    T$e ove!all unavaila'ilit& o t$e s&ste" and t$e !oagated !adio

    ave it$ $otstand'& and sace dive!sit& !otection is

    0.0000018836sec

    "r:0.0000000313940873!in

    "r :0.000000000523234788hr

    "r

    Overall 9navailability ime able

    Ti;e R!e O6!ge Ti;e

    Second/ 0er d5 B.BBBBBBBB;3B32=3

    ;Second/ 0er ;on!+ B.BBBBBB;@2=B;33>@2;3?@@>;=2Min6!e/ 0er 5er B.BBBBBBB?;?>@B2

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    1.; %in< ,udget

    Gi)en Pr;e!er/9Vri4le Pr;e!er=Uni! Vl6e

    #T0 T!ans"itted -oe! d%"HRadio E0ui"ent Seci/cationH

    ??

    GT0 / GR0 Gain o t$e antenna o Site A

    and Site % d%iH

    @=.3@B22@

    (31 F!ee Sace -at$ Loss d%H ;@?.?3@;

    91A 4aveguide loss at Site A d%H =.3>?@?@

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    BA=3.513471382 dB

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    BB %!anc$ing loss at

    Site %

    d%

    #or;6l 9 BB=91B+R1+2(-1)

    BB=2.693471382 dB+0.8dB+2(0.01 dB)

    BB=3.513471382 dB

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    ER# Eective !adiated

    oe!

    d%"

    #or;6l 9ER#=#T

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    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    E-R# Eective isot!oic

    !adiated oe!

    d%"

    #or;6l 9E-R#=ER#+GT0

    E-R#=29.48652862 dB!+42.64088479 dBi

    E-R#=72.12741341 dB!

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    E-R3 Eective isot!oic

    !eceived signal

    d%"

    #or;6l 9 E-R3=E-R#(31

    E-R3=72.12741341 dB!143.7093641 dB

    E-R3=71.58195066 dB

    Un1no*n Pr;e!er/9

    Vri4le Pr;e!er Uni!

    ER3 Eective !eceived

    signal

    d%"

    #or;6l 9 ER3=E-R3+GR0

    ER3=71.58195066 dB+42.64088479

    ER3=28.94106587 dB!

    Un1no*n Pr;e!er/9

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    Vri4le Pr;e!er Uni!

    R31 Received signal

    level

    d%"

    #or;6l 9R31=ER3BB

    R31=28.94106587 dB!3.513471382 dB

    R31=32.45453726 dB!

    T$e !eceive signal level at t$e !eceive! side is 32.45453726 dB!

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    Illustration for %in< ,udget

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    #SL

    RWTW GAT@ GAR@

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    -TW ER- EIR- EIRS ERS RSL

    ;BB

    B

    B

    B

    ;BB

    ?=.BBBB

    =

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    2. ower %ayout

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    3. aveguide %ayout

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    !.

    Design

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    Summary

    Si!e A Si!e "

    "/ic Infor;!ion

    Loc!ion%!g&. Santo Do"ingo,

    Caas, Ta!lac

    %!g&. %angad,

    Ca'anatuan Cit&,

    Nueva Eci(a

    L!i!6de ; =BK=2.3*N ; =2K;.>3?B

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    An!enn

    Orien!!ion

    T!ue No!t$

    72 0'51.39 ) E

    8

    T!ue No!t$

    10751 '59.89 ) #

    8

    An!enn Til!ing 0 10

    '

    4.50469 0 10

    '

    21.48027

    Di/!nce fro;

    !+e Reec!ion

    Poin!

    =.B>?=2;= #" =.@@3

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    on Rdio

    #re86enc5

    Pro0g!ion

    Reli4ili!5 *i!+

    S0ce Di)er/i!5 >>.>>>>;;;.>>>>>>>>>>>@B

    O)erll

    Un)il4ili!5

    B.BBBBB;22?3@=?>

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    C!e "e"'e!s s$ould ea! $ig$ visi'ilit& clot$es $en o!#ing it$

    o! nea! const!uction e0ui"ent, eseciall& c!anes

    a!d$ats o! $el"ets a!e !e0ui!ed at all ti"es o! cli"'e!s and

    g!ound c!e

    Avoid o!#ing di!ectl& unde! t$e toe! $en cli"'e!s a!e on t$e

    toe!

    Esta'lis$ a o!# zone unde! t$e toe! e0ual to $al t$e total $eig$t,t$e distance t$at tools o! $a!da!e could all aa& !o" andMo!

    !icoc$et o t$e toe!

    Esta'lis$ )e8clusion zones* o at least tice t$e $eig$t o! onloo#e!s

    and "edia

    Cli"'e!s s$ould onl& use 'uc#ets, ouc$es, 'ags and oc#ets o!

    tools, a!ts, and $a!da!e t$at can 'e closed, zied, astened, o!

    ot$e!ise secu!el& closed

    5se tools and gea! /tted it$ loos o! slings so t$e& can 'e secu!ed

    it$ ca!a'ine!s to t$e cli"'e!, o! to t$e toe!

    Qee ve$icles a!#ed at least one$al t$e toe! $eig$t aa& !o"

    t$e 'ase o t$e toe! to avoid da"age !o" accidentall& d!oed

    tools o! e0ui"ent

    All $aul !oes s$ould 'e t$e !oe! st!engt$ and dia"ete! o! tools

    to 'e used

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    Ade0uate and !oe! ulle& s&ste"s and anc$o! oints a!e essential

    o! liting and $auling. -!og!essive catu!e o! !oe s&ste"s is $ig$l&

    encou!aged.

    &lectrical Safety

    Voltage ove! B volts is conside!ed dange!ous and !e0ui!es

    a!o!iate -e!sonal -!otective E0ui"ent.

    Fi!e !eta!dant clot$ing, gloves, and ace s$ields "a& 'e necessa!&

    o! a!ticula! elect!ical tas#s. T$e!eo!e, an&one not 0uali/ed s$ould

    not oen live elect!ical enclosu!es o! ca'inets.

    All cli"'e!s s$ould !actice )Loc#outMTagout* 'eo!e cli"'ing an&

    toe! installing aH adloc#sH on elect!ical disconnects and oe!

    sou!ces $eneve! !actica'le. A sea!ate adloc# s$ould 'e used

    '& eac$ o!#e!, and onl& one #e& s$ould 'e in ci!culation o! eac$

    loc#. -e! OSA !egulations, onl& $e o! s$e $o alied t$e loc# s$all

    'e alloed to !e"ove it.

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

    MULTIPLELOCK

    DEVICE BHASP

    Pdloc1 nd Ke5 TAG B#RONT AND

    "ACK

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    Note t$at t$e!e a!e ce!tain conditions t$at !e0ui!e oe! 'e !esent

    to test, t!ou'les$oot, o! !eosition t$e "ac$ine 'ut $en suc$

    "aneuve!s a!e not unde!a& t$e s&ste" s$ould 'e deene!gized

    and ut into an elect!icall& sae o!#ing condition.

    Power $ontact Induction

    T$e (oint occuanc& o oles and suo!t !esent oe!

    contactMinduction !o'le" and t$e necessit& o! const!ucting oe!

    and co""unicationKs acilities nea! eac$ ot$e! and t$e advantages to

    'ot$ t$e inte!est "ust 'e ca!eull& conte"lated.

    Good const!uction and ade0uate sacing 'eteen oe! and

    co""unicationKs acilities a!e /!st line o deense against oe!

    contact and induction $aza!ds. T$is essentiall& #ees o!eign

    otential out o t$e co""unication lant

    Second "easu!e is to !ovide at$s to g!ound on t$e

    co""unication acilities suJcient to !event e8cessive voltage

    !ise in t$e co""unication lant and utilization o cu!!ent li"iting

    devices

    Insulation on t$e co""unication conducto!s "a&, in "an&

    instances it$stand seconda!& oe! otential 'ut deendence

    on insulation alone int!oduces a conside!a'le $aza!d

    4$e!e t$e ossi'ilit& o oe! line contact is e"inent, e0ui"ent

    connected to suc$ lines s$ould 'e !ovided it$ !otecto! ca'le

    o disc$a!ging suJcient cu!!ent to use t$e line conducto! o! t$e&

    s$ould 'e !ovided it$ line uses and su!ge a!!este!. S$all

    !otecto!s ill 'e ade0uatel& !ounded to !event e8cessive !ise

    in otential at t$e e0ui"ent locations.

    Isolating t!anso!"e! andMo! neut!alizing t!anso!"e!s andMo!

    a!o!iate devices s$ould utilize to !event distu!'ances in

    co""unications ci!cuits e8osed to a!ise in g!ound otential

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    +$ and D$ Safety

    T$e!e a!e to !o'a'le a&s oe! line caused e0ui"ent da"age

    occu!s.

    To*er S!ri1e/

    Su!ge cu!!ent "a& also a!!ive to st!ess e0ui"ent it$in t$e

    'uilding it$ a st!i#e to t$e co""unication toe!. In an ideal

    installation, t$e toe!, 'ul#$ead, e0ui"ent and utilit& g!ounds a!e

    all tied toget$e! it$ a single oint g!ound.

    T$e one a& to t$eo!eticall& li"it st!ess on t$e e0ui"entKs

    oe! sulies is to !ovide additional inductance isolationH o! t$eoe! line at$ inside t$e e0ui"ent 'uilding.

    Po*er Line S!ri1e/

    Su!ge cu!!ent "a& 'e i"osed on a oe! line '& a lig$tning

    st!i#e nea! t$e e0ui"ent o! on an ove!$ead utilit& line. Cu!!ent

    "a& di!ectl& ente! 'u!ied lines $en lig$tning st!i#es a st!eet lig$t

    o! "a& 'e conducted to a 'u!ied oe! line i lig$tning st!i#es nea!

    t$e line. 4$ic$eve! a& t$e su!ge cu!!ent ente!s, it causes a 'i

    di!ectional o o su!ge cu!!ent on t$e oe! line. Cu!!ent os

    'ot$ toa!d t$e e0ui"ent 'uilding and aa& !o" it, toa!d t$e

    nea!est dist!i'ution t!anso!"e!.

    4$en t$e su!ge cu!!ent oing toa!d t$e e0ui"ent 'uilding

    !eac$es a dist!i'ution t!anso!"e!, a!t o t$e ene!g& is dive!ted tog!ound. Ene!g& not dive!ted to g!ound is couled t$!oug$ t$e

    t!anso!"e! '& a!cing noncatast!o$icH o! caacitive couling.

    Su!ge cu!!ent continues toa!d t$e e0ui"ent 'uilding on 'ot$ t$e

    )neut!al* and )$ot* conducto!s o t$e oe! line.

    At t$e 'uildingKs "ain oe! line ent!ance anel t$e neut!al is tied

    to g!ound, !educing neut!al conducto! ene!g&. +ost o t$e ene!g&

    !o" t$e lig$tning st!i#e s$ould !e"ain on t$e )$ot conducto!s*.

    %ac$elo! o Science in Elect!onics and Co""unications Enginee!ing

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    -round

    Eve!&one ag!ees t$at g!ounding is i"o!tant to !educe t$e

    occu!!ence o lig$tning da"age.

    T$e!e a!e t$!ee i"o!tant !easons o! !oe! g!ounding6 ensu!ing

    e!sonnel saet&, "ini"izing !adio !e0uenc& inte!e!ence and !eventing

    e0ui"ent da"age !o" lig$tning.

    A good g!ound is a loi"edance 'ond to an eective ea!t$

    elect!ode s&ste", $ic$ is a neto!# o 'u!ied conducto!s a!ound t$e

    toe! designed to c!eate a lo !esistancetoea!t$. Toe! ea!t$ elect!ode

    s&ste"s t&icall& consist o a set o d!iven g!ound !ods con/gu!ed in a

    !ing a!ound t$e toe!, it$ t$e !ods 'onded toget$e! '& a la!ge coe!

    conducto! A4G size ;MB o! la!ge!H. Eac$ leg o t$e toe! s$ould 'e

    'onded to t$e ea!t$elect!ode s&ste" using an e8ot$e!"ic eld.

    &lectric Shoc

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    Co""unication toe!s a!e designed to 'e e8t!e"el& eJcient

    st!uctu!es, in so"e cases, !ising to ove! =BBB eet in $eig$t. T$is

    eJcienc& co"es at a cost, as t$e!e a!e "an& toe!s t$at do not

    !ovide t$e cli"'e! it$ ade0uate cli"'ing acilities and !oe! tie[o oints. Additionall&, o!#ing on a toe! is oten ve!& diJcult

    since t$e!e a!e t&a