Basics of Electronic Communication

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    EEE 309

    Communication Theory

    Lecture 3Dr. Md. Forkan Uddin

    Assistant ProfessorDept. of EEE, BUET, Dhaka 10000.

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    Types of Transmission Two types: Baseband and Carrier Modulation/Passband

    Baseband Transmission: Baseband - frequency band of the original message

    signal from the source or input transducer

    Baseband transmission refers to transmitting the signal

    directly, without any modification to the spectral content Most baseband signals (audio, video) contain significant

    low-frequency component

    Cannot be effectively transmitted over the wireless

    channel Can be transmitted with copper or coaxial cable for

    dedicated transmitter-receiver pair

    Baseband signals have overlapping band - results in

    severe interference if sharing a channel 2

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    Amplitude Modulation (AM)

    Consider the sinusoidal carrier c(t), with carrier

    frequency fc,

    Assume, baseband signal/modulating signal/inteligence

    signal m(t) M(f), with bandwidth B, and fc > B

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    In AM, amplitude of the carrier c(t) is varied about a

    mean (A) linearly with m(t)

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    AM (Contd..)

    In other words, we transmit an unmodulated carrier in

    addition to the modulated message

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    The carrier

    component oscillates

    between the

    envelope |A + m(t)|

    and itsnegative image |A +

    m(t)|

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    AM (Contd..)

    The envelope is an accurate representation of themessage, provided

    a. the carrier frequency fc is much greater than the

    highest frequency component of m(t), which is the

    message bandwidth : fc >> Bb. the message amplitude satisfies A + m(t)>= 0; for all t

    Condition arelates to overlap of the frequency spectrum

    components

    Condition bensures that the message can be recoveredfrom the envelope.

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    AM (Contd..) Suppose m(t) has zero offset, and mpand mp denote

    the maximum and minimum values of m(t), respectively.

    That is m(t) >=- mpfor all t and condition for envelope

    detection is A >=mp

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    AM (Contd..)

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    AM (Contd..)

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    AM (Contd..)

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    AM Detection/ Demodulation

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    AM: Summary

    AM is simple to generate and to demodulate.

    AM is wasteful of transmitted power

    AM is wasteful of channel bandwidth: twice as much

    bandwidth as required.

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    AM: DSB-SC

    Double sideband suppressed carrier (DSB-SC) AM usessimple multiplication of modulating signal and carrier

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    AM:DSB-SC

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    Both lower and upper sidebands are transmitted

    Bandwidth of the modulated signal, BT=2B

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    AM:DSB-SC Demodulation

    Power efficiency in DSB-SC increases However, the simple envelope detection/demodulation is

    not possible

    Need coherent detection/ synchronous detection

    What is coherent/synchronous detection?

    The same carrier frequency signal must be generated

    and multiplied the received signal at receiver

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    AM:DSB-SC Summary

    Modulation technique is easy

    DSB-SC is wasteful of channel bandwidth due to

    transmission of both sidebands takes up twice as much

    bandwidth as required

    Need costly coherent detection

    Power efficiency is better

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    AM vs DSB-SC

    AM DSB-SC

    Modulation Simple Simple

    Demodulation Envelope detection

    Low cost and simple

    Coherent detection

    Costly and complex

    Power Efficiency Max 33 % Better

    Bandwidth Uses Double of the

    required BW

    Double of the

    required BW

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    SSB-SC Modulation

    Graphical presentation in frequency domain is easy

    How to do modulation and demodulation?

    How to express mathematically in time and frequency

    domain?

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    SSB-SC Modulation: Filter out a side band

    There are a number of ways to generate SSB signals

    (1) filter out the lower/upper sideband

    (2) apply a Hilbert Transform

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    In theory we can remove one of the sidebands by passing it

    through a band-pass filter H(f) - one that passes either the lower or

    upper sideband only

    However practical construction of filters with steep transition

    band is difficult

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    Filter out method can be applied for signals that have little or

    no energy at low frequencies

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    SSB-SC Modulation: Filter out a side band

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    Hilbert Transform

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    d

    t

    m

    ttmtmh

    )(1

    1)()(

    jsgn(- ))M(

    )(M)H(

    )sgn()M()(M

    H

    H

    jH()

    M() Mh()

    1)H(

    )H(2

    2

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    Frequency Domain of SSB-SC

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    Frequency Domain of SSB-SC

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    )]()([2

    1

    )](1[2

    1

    )()()()( hjMMsignMuMM

    )sgn()M()(Msince H j

    )]()([2

    1)](1[

    2

    1)()()()( hjMMsignMuMM

    )]()([

    2

    1)]()([

    2

    1

    )]()([2

    1)]()([

    2

    1

    )()()(

    chchcc

    chcchc

    ccUSB

    MMjMM

    jMMjMM

    MM

    )]()([

    2

    1)]()([

    2

    1

    )]()([2

    1)]()([

    2

    1

    )()()(

    chchcc

    chcchc

    ccLSB

    MMjMM

    jMMjMM

    MM

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    2525

    Time Domain of SSB-SC

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    )]()([2

    *)()]()([2

    1*)(

    )]()([2

    1

    )]()([2

    1

    )(

    cchcc

    chchccUSB

    jMM

    MMjMM

    ttmttmt chcUSB sin)(cos)()(

    )]()([2

    *)()]()([2

    1*)(

    )]()([2

    1)]()([

    2

    1)(

    cchcc

    chchccLSB

    jMM

    MMjMM

    ttmttmt chcLSB sin)(cos)()(

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    SSB-SC Modulation: Hilbert Transform

    Implementation of an SSB modulator using the phase-shiftmethod

    Ideal phase shifter is not realizable - we can only approximate

    it over a finite frequency range.

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    SSB-SC Demodulation

    It is simple to verify that SSB (suppressed carrier) can be

    coherently demodulated

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    Upon low-pass filtering the double frequency componentsresults in the desired signal

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    AM vs DSB-SC vs SSB-SC

    AM DSB-SC SSB-SC

    Modulation Simple Simple Costly and

    Complex

    Demodulation Envelope

    detectionLow cost and

    simple

    Coherent

    detectionCostly and

    complex

    Coherent

    detectionCostly and

    complex

    Power

    Efficiency

    Max 33 %

    Inefficient

    Better

    Efficient

    Better

    Efficient

    Bandwidth

    Uses

    Double of the

    required BW

    Inefficient

    Double of the

    required BW

    Inefficient

    Equal to the

    required BW

    Efficient

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    QAM

    Quadrature amplitude modulation (QAM) or quadrature

    multiplexing can be used to transmit two modulating signals

    Both modulating signals use DSB-SC and they will occupy as

    much bandwidth as required

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    QAM demodulation

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    Coherent modulation is used at the receivers

    LPF is used to recover the desired signal

    The main drawback is that the oscillator should be tightly

    synchronized

    If in phase oscillator has a phase delay theta:

    After using LPF, the received signal:

    Co-channel Interference

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    VSB modulation

    Signals that do not contain an energy gap near DC cannot be

    easily SSB modulated

    Vestigial Side Band (VSB) modulation is used to overcome

    problem

    VSB transmits a single side band, plus a small amount (or

    vestige) of the other sideband using a filter

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    VSB Modulation and Demodulation

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    Removing double frequency components due to LPF, we get

    Output filter must satisfies:

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    Example 1

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    The carrier frequency is 20 kHz. Baseband signal bandwidth is 6 kHz. Hi(f) is

    shown if fig (a). Determine H0(f).

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    Application VSB: Analog TV

    Video signal:

    large bandwidth (4.5 MHz)- don't want DSB

    significant low-frequency component - no SSB

    The demodulation of the tv signal must be simple (cost)

    envelope detector; this implies the addition of the carrier tothe VSB modulated wave

    Since the transmitted power is large, it would be expensive to

    carefully control the shape of the filter sideband.

    Instead the VSB filtering is applied at the receiver, where thepower level is lower

    The transmitter includes a filter to simply limit the bandwidth

    of the signal

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    Analog TV

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    Notice

    Class Test 01: lecture 1 to

    todays lecture

    Next Monday

    On 27/01/2014 at 1 pm2ndfloor of ECE building

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