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7/25/2019 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$!istelle Ron C.
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APPROVAL SHEET
In a!tial ul/ll"ent o! t$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$e g!ade o 77777777.
-!o. Ro""el T. Dasalla
Acade"ic Coo!dinato!, College o Enginee!ing
ACKNOWLEDGEMENT
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T$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$H
+ade o /'e! glassM A%S lastic
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4i!eless Co""unication
W)eg6ide/
4aveguides a!e !ee!!ed 'ecause o t$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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4i!eless Co""unication
#.!. 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
%ac$elo! o Science in Elect!onics and Co""unications Enginee!ing
7)=equi4alenthigher (resel radius(!eters)
71=equi4alent lo+er (resel radius(!eters)
()=4ertical distance123 higher (reselradius(!eters)
(1=4erticaldistance 123 lo+er (reselradius(!eters)
906()
= =
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tan
(hBhADGC )1
cos
()=7)
tan
(hBhADGC )1
cos
(1=71
Conside! t$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 ))
%ac$elo! o Science in Elect!onics and Co""unications Enginee!ing
(1= 71
cos (tan1(hBhADGC ))
71=
BB24AC
2A
D=(D GC)2+(hBhA)
2
d= dA
cos
(tan1
(hAhBDGC ))
.=c
%=
299792458 ! /s%requenc" ()*)
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7)=B+B24AC
2A
4$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$e!ical
t!igono"et!ic o!"ula.
Gi)en Pr;e!er/9
Vri4le Uni! Vl6e
DGCc degree 0.454065933043402
a degree / !inutes / seconds 74 31'8.22
b degree /!inutes /seconds 74 39'31.35
Un1no*n Pr;e!er/9
Vri4le Pr;e!er Uni!
A Angle degree/!inutes / seconds
" Angle degree / !inutes / seconds
#or;6l9 Cosine La o! Angle AH
c+ sin b sin c cosAcosa=cosbcos
Cosine La o! Angle %H
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cosb=cos acosc+sin a sin c cos B
Sol6!ion for Un1no*n Pr;e!er/9
Vri4le Pr;e!er Uni!
A Angle degree / !inutes / seconds
#or;6l 9 cosa=cosb cosc+sin b sin c cosA
(cosacos b cos c
sin b sinc )
A=cos1
74 31'8.22)} sin( { 0.454065933043402} )} i!"t )}
sincos(74 31'8.22)} -cos {(74 {39} ^ {'} 31.35)cos (0.454065933043402 )
A=cos1
A=72.014273758510972 0'51.39
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Vri4le Pr;e!er Uni!
B Angle degree/!inutes / seconds
#or;6l 9 cosb=cos acosc+sin a sin ccos B
cos bcosa cosc
sin asinc
B=cos1H
7431'8.22)} sin {( 0.454065933043402 )}} )
sin
cos(74 39'31.35)} - cos {( 74 {31} ^ {'} 8.22)cos(0.454065933043402)
B=cos1
B=107.8666360701080107 51'59.89
%ac$elo! o Science in Elect!onics and Co""unications Enginee!ing
Site A6 Caas, Ta!lac
G!id No!t$6
72 0'51.39) E
8
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%ac$elo! o Science in Elect!onics and Co""unications Enginee!ing
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$e !eceive! side is 32.45453726 dB!
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Illustration for %in< ,udget
%ac$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
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3. aveguide %ayout
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!.
Design
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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
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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 )$ot conducto!s*.
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-round
Eve!&one ag!ees t$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