Digital Communication V.pdf

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    DIGITAL

    COMMUNICATION

    By

    K.Eugine Raj

    Assistant Professor/ECE

    SCAD Engg College

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    Memory less modulation

    methods The digital pass band transmission has two types

    of modulation technique.

    1. Memory less modulation

    eg: ASK, PSK, QPSK.

    2. Memory modulation

    eg: MSK, DPSK

    All the Receiver uses either Coherent on nonCoherent method.

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    Amplitude shift keying(ASK)

    ASK is also called as on-off keying.

    Binary 1 represents a pulse and Binary 0represents no pulse.

    It is a memory less modulation method.

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    Representation of signal

    The ASK waveform can be represented by,

    gm(t)=Re(Amf(t)ej2fct)

    gm(t)=Am f(t) cos(2fct), m=1,2,M. Am=(2m-1-M)(d/2)

    d--> distance between adjacent signal.

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    Signal space diagram

    For ASK signal, M Number of message points,(M=2,4 &8).

    N=1,Dimension.

    So it has one basic function, (t).

    Minimum distance between these two point is given by,

    dmin=

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    Spectral characteristics The complex envelope of an ASK modulated waveform is

    The PSD of the complex envelope of ASK is,

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    Generation of ASK

    Here the input binary signal is given to an

    unipolar NRZ encoder which is the multipliedwith the carrier signal.

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    Phase shift keying(PSK)

    Here phase of the career is shifted between twobinary input value.

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    Representation of signal

    For symbol-1, S1(t)= cos(2 )

    For symbol-0, S2(t)= cos(2 + )

    The modulated signal is given by,

    S(t)=f(t) cos 2 +

    The energy present in the wave form is,

    Sm=

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    Signal space diagram

    For a Binary PSK it consist of N=2 dimensional.

    So it consist of two basic function, 1(t) & 2(t).

    The Euclidean distance is given by,

    dmin= (1 cos )

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    Generation of PSK

    Here the input binary signal is given to anPolar NRZ encoder which is the multiplied

    with the carrier signal.

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    It has two quadrature carrier as, Cos2fct &

    Sin2fct.

    QAM wave is represented as,

    gm(t)=Vmf(t)cos(2fct+m)

    Vm= +

    m=tan-1(Ams/Amc)

    Where, Ams & Amc are the amplitude of

    quadrature carrier.

    Representation of signal

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    Signal space diagram

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    Signal space diagram

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    Quadrature phase shift

    keying(QPSK) By grouping bits in symbol, the

    transmission bandwidth can be

    reduced.

    One symbol represented in twobits in which successive bits are

    taken.

    This reduce bit rate, hence BW.

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    Binary PSK and ASK signal combined to producea signal constellation.

    M=M1M2=4

    Log2(4)=2 bit symbol

    Advantage of QPSK is its BW conservation.

    Si(t)=

    2 + 2 1 ,0

    0,

    QPSK transmit N bits for NTs/2 seconds

    Representation of signal

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    Signal Space Diagram

    Here M=4 and N=2 dimensional.

    Therefore it has two basic function 1(t) & 2(t).

    The Euclidean distance between adjacent point is,

    dmin=

    Basic coefficient are,Sm=[Sm1 Sm2]

    Sm= 1 1

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    Frequency shift keying(FSK)

    In binary FSK system symbol 1 and 0 are

    distinguished from each other by transmitting

    two sinusoidal wave that have different

    frequency.

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    Signal Space Diagram