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    Modulation Techniques for Mobile Radio

    Amplitude Modulation

    Angle Modulation

    Digital Modulation-an Overview

    Pulse Shaping Techniques Linear Modulation Techniques

    Constant Envelope Modulation

    Combined Linear/Constant Envelope Modulation Techniques

    Spread Spectrum Modulation Techniques

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    Amplitude Modulation

    AM signal can be represented as (see Fig. 1)

    )2cos()](1[)( tftmAts ccAM += For a sinusoidal modulating signal

    the modulation index is given by

    c

    m

    A

    Ak=

    )2cos()/()( fmtAAtm cm =

    The spectrum of an AM signal can be show to be (see Fig. 2)

    )]()()()([2

    1)( cccccAM ffMffffMffAfS +++++=

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    Amplitude Modulation

    1

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    Amplitude Modulation

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    Angle Modulation

    The two most important classes of angle modulation being

    frequency modulation and phase modulation Frequency modulation (FM) can be represented as

    +=+=

    t

    fccccFM dmktfAttfAtS )(22cos)](2cos[)(

    Ac : amplitude of the carrier

    fc : carrier frequency

    kf : frequency deviation constant Phase modulation (PM) can be represented as

    )](2cos[)( tmktfAtS ccPM += k: phase deviation

    constant

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    FM modulation Methods

    Direct method (see Fig. 3)

    The carrier frequency is directly varied in accordance with

    the input modulating signal

    Indirect method (see Fig. 4)

    A narrowband FM signal is generated using a balanced

    modulator and frequency multiplication is used to increase

    both the frequency deviation and the carrier frequency to

    the required lever, can be expressed as

    tftAtfAtS ccccFM 2sin)(2cos)(

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    FM Modulation Methods

    3

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    FM Detection Technique

    Slope Detector (see Fig. 5)

    Zero-crossing Detector (see Fig.6)

    PLL for FM Detection (see Fig. 7)

    Quadrature Detection (see Fig. 8)

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    FM Detection Technique

    Slop Detector

    +=+=

    t

    fccccin dmktfAttfAtv `)(22cos)](2cos[)(

    +=+=

    t

    fcc dmktfVttfVtv `)(22cos)](2cos[)( 111

    ))(2sin(2)( 12 tfctdt

    dfctVtv +

    +=

    )(22)(2)( 111 tmkVfVtdt

    dfVtv fccout +=

    +=

    5

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    FM Detection Technique

    Zero-crossing Detector

    6

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    FM Detection Technique

    PLL for FM Detection

    7

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    FM Detection Technique

    Quadrature detection

    8 )()(2)(22

    0 tCmtmKAtv fc ==

    ++= ))](()(22cos[)( tfdmktfAtv ifcc

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    Digital Modulation-an Overview

    Factors that influence the choice of digital modulation

    power efficiency

    bandwidth efficiency

    p

    B

    HzbpsBRB /=

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    Digital Modulation-an Overview

    Bandwidth and power spectral density of digital signals

    the power spectral density of a random signal w(t) is define

    as [1]

    =

    T

    fWfp T

    Tw

    2

    )(lim)(

    the PSD of the bandpass signal is given by

    [ ])()(41

    )( cgcgs ffPffPfP +=

    Where Pg(f) is the PSD ofg(t), and g(t) is the complex

    baseband envelop

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    Pulse Shaping Techniques

    Nyquist criterion for ISI cancellation

    Raised cosine rolloff filter (see Fig. 9-10)

    +>

    +

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    Raised Cosine Rolloff Filter

    9

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    Raised Cosine Rolloff Filter

    10

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    Linear Modulation Techniques

    z Digital modulation techniques are classified as linear and

    nonlinear.

    z The amplitude of transmitted signal,s(t), varies linearly

    with the modulating digital signal, m(t).

    )]2()()2()([

    )]2()([)(

    tfsintmtfcostmA

    tfjexptAmRets

    cIcR

    c

    ==

    signalmodulatedthe:)()()(

    frequencycarierthe:amplitudethe:

    tjmtmtm

    fA

    IR

    c

    +=

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    Coherent BPSK Receiver with carrier recovery circuits

    )2(cos2

    )(

    )2(cos2

    )()( ch

    +=

    ++=

    tf

    T

    Etm

    tfT

    EtmtS

    c

    b

    b

    ccb

    bBPSK

    The received BPSK signal

    =

    0,

    2

    N

    EQP bBPSKe

    The bit error rate in an AWGN channel

    12

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    Differential Phase Shift Keying (DPSK)

    z A noncoherent form of PSK

    z The input binary sequence is

    differentially encoded firstly.

    z An example

    z The bit error rate in anAWGN channel

    {mk} 1 0 0 1 0 1 1 0

    {dk-1} 1 1 0 1 1 0 0 0{dk} 1 1 0 1 1 0 0 0 1

    1= kkk dmd

    =

    0, exp

    2

    1

    N

    EP bDPSKe

    13

    14

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    Quadrature Phase Shift Keying (QPSK)

    z 2 bits are transmitted an a signal modulation symbol.

    z Therefore, QPSK has twice the bandwidth efficiency of BPSK.

    .4,3,2,10)2

    )1(2(cos2

    )( s =+= iTtitfT

    EtS c

    s

    sQPSK

    15

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    Spectrum and Bandwidth of QPSK Signals

    z The null-to-null RF

    bandwidth is equal to the bit

    rateRb.

    z The BW is half of a BPSK

    signal.

    z The bit error rate in an

    AWGN channel

    =

    0,

    2

    N

    EQP bBPSKe 16

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    QPSK Signal Transmission Technique

    z The bit stream m(t) is split into two bit streams mI(t) and

    mQ(t) (in-phase and quadrature stream).

    zThe two binary streams are separately modulated by twocarriers, which are in quadrature.

    17

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    Coherent QPSK Signal Detection Technique

    z The frontend bandpass filter remove the out-of-band noise and

    adjacent channel interference.

    zThe filtered output is split into two parts, and each part iscoherently demodulated using in-phase and quadrature carriers.

    18

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    Offset QPSK

    z OQPSK signaling is similar to QPSK, expect for the time

    alignment of the even and odd bit streams.

    zThus, OQPSK can eliminate 180 phase transition, and

    prevent the signal envelope to go to zero.

    19

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    /4 QPSK

    z /4 QPSK is a quadrature phase shift keying technique.

    z It offers a compromises between OQPSK and QPSK.

    z The maximum phase change of/4 QPSK is limited to 135

    z An extremely attractive feature of/4 QPSK is that it can be

    noncoherently detected.

    z Further, it has been found that in the presence of multipath

    spread and fading, /4 QPSK performs better than OQPSK [2].

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    Constellation diagram of/4 QPSK signal and

    Carrier Phase Shifts corresponding to input bit pairs

    Information bits Phase shift k1 1 /4

    0 1 3/40 0 - 3/41 0 -/4

    20

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    Generic /4 QPSK Transmitter

    21

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    /4 QPSK Detection Techniques

    z Baseband differential detector (see Fig. 22)

    z IF differential detection (see Fig. 23)

    z FM discriminator (see Fig. 24)

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    /4 QPSK Baseband differential detector [3]

    22

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    /4 QPSK IF differential detection

    23

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    /4 QPSK FM discriminator

    24

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    Constant Envelope Modulation

    z The constant envelope family of modulations has following

    advantage [4] :

    Power efficient Class C amplifiers can be used without

    introducing degradation in the spectrum occupancy of the

    transmitted signal.

    Low out-of-band radiation of the order of -60 dB to -70 dB

    can be achieved.

    Limiter-discriminator detection can be used, which

    simplified receiver design and provides high immunity

    against random FM noise and signal fluctuations due to

    Rayleigh fading

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    Binary Frequency Shift Keying (BFSK)

    z The information of the transmitted signal is modulated into

    the frequency of the carrier signal.

    z In general, an FSK signal may be represented as

    )t22(cos

    2

    )()(

    )t22(cos2

    )()(

    ffT

    E

    tvtS

    ffT

    EtvtS

    cb

    bLFSK

    cb

    bHFSK

    ==

    +==

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    Detection of Binary FSK

    Coherent

    Noncoherent

    25

    26

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    Minimum Shift Keying (MSK)

    z Minimum shift keying (MSK) is a special type of continuous

    phase-frequency shift keying (CPFSK).

    z MSK is sometimes referred to as fast FSK, as the frequency

    spacing used is only half as much as that used in conventional

    noncoherent FSK [5].

    z An MSK signal also can be thought of as a special form ofOQPSK where the baseband rectangular pulses are replaced

    with half-sinusoidal pulses [6].

    ( ) ( )tfT

    ttmtf

    T

    ttmtS c

    bQ

    bIMSK 2)sin

    2(sin)(2)cos

    2(cos)()( c

    +=

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    MSK Power Spectrum

    z From this figure, the MSK spectrum has lower sidelobes

    than QPSK and OQPSK.

    27

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    Block diagram of an MSK transmitter

    ( ) ( )tfT

    ttmtf

    T

    ttmtS c

    bQ

    bIMSK 2)sin

    2(sin)(2)cos

    2(cos)()( c

    +=

    28

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    Block diagram of an MSK receiver

    29

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    Gaussian Minimum Shift Keying (GMSK)

    z GMSK is a simple binary modulation scheme which may

    be viewed as a derivative of MSK.

    z In GMSK, the sidelobe levels of the spectrum are further

    reduced by passing the modulating NRZ data waveform

    through a premodulation Gaussian pulse-shaping filter [7].

    z In practice, GMSK is most attractive for its excellent

    power efficiency (due to the constant envelope).

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    Block Diagram of a GMSK receiver

    31

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    Power Spectrum density of a GMSK signal [7]

    32

    C bi d Li /C t t E l M d l ti

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    Combined Linear/Constant Envelope Modulation

    Techniquesz Digital baseband data may be sent by varying both the

    envelope and phase (frequency) of an RF carrier.

    z This can offer two degrees of freedom, thus such modulationtechniques are called M-ary modulation.

    z In M-ary signaling scheme, two or more bits are grouped

    together to form symbols.z Depending on whether the amplitude, phase, or frequency of

    the carrier is varied, the modulation scheme is called M-ary

    ASK, M-ary PSK, or M-ary FSK.

    z M-ary modulation schemes achieve better bandwidth

    efficiency at the expense of power efficiency.

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    M-ary Phase Shift Keying (MPSK)

    ( ) ( )

    bsbs

    s

    s

    s

    si

    TMTEME

    tfini

    T

    Etfi

    T

    EtS

    )(logand)(logwhere

    2s

    M

    21)-(sin

    22cos

    M

    21)-(cos

    2)(

    22

    cc

    ==

    +

    =

    33

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    M-ary PSK power spectral density

    34

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    M-ary Quadrature Amplitude Modulation (QAM)

    ( ) ( )

    integers.tindependenofpairaareandandamolitude,lowestthewithsignaltheofenergytheswhere

    2sM

    21)-(sin

    22cos

    M

    21)-(cos

    2)(

    min

    cmin

    cmin

    ii

    is

    is

    i

    baiE

    tfinibT

    Etfia

    T

    EtS

    +

    =

    35

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    Hertz.21byseparated

    aresfrequenciesignaltheand,integerfixedsomefor2/where

    ,...,2,10)(cos2

    )(

    s

    cscc

    scss

    si

    T/

    nTnf

    MiTttinTT

    EtS

    =

    =

    +=

    M-ary Frequency Shift Keying (MFSK)

    z

    z The orthogonality characteristic of MFSK has led

    researches to explore Orthogonal Frequency Division

    Multiplexing (OFDM)

    S d S M d l i T h i

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    Spread Spectrum Modulation Techniques

    z Pseudo-noise (PN) Sequences

    36

    Di S S d S (DS SS)

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    Direct Sequence Spread Spectrum (DS-SS)

    0atanglephasecarriertheis

    frequency,carriertheis

    sequence,spreadingPNtheis)(

    sequence,datatheis)(

    )2cos()()(2

    )(ss

    =

    +=

    t

    f

    tp

    tm

    tftptmT

    EtS

    c

    cs

    s

    37

    I t f S i th S d S t

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    Interference Suppress in the Spread Spectrum

    38

    F H d S d S t (FH SS)

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    Frequency Hopped Spread Spectrum (FH-SS)

    39

    Performance of Digital Modulation in Slow,

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    g ,Flat Fading Channels

    40

    R f

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    References

    [1] Couch, L. W.,Digital and Analog Communication Systems, 4th edition, Macmillan, New York,

    1993.

    [2] Liu, C. L., Feher, K., Noncoherent detection of/4-shifted systems in a CCI-AWGN combinedinterference environment, IEEE VTC89, San Francisco, 1989.

    [3] Feher, K., Modems for emerging digital cellular mobile radio systems, IEEE Trans. on Veh.

    Techno., vol 40, no 2, pp. 355-365, May 1991.

    [4] Young, W. R., Advanced mobile phone service : introduction, background, and objectives, Bell

    Systems Technical Journal, vol. 58, pp. 1-14, January 1979.

    [5] Xiong, F., Modem techniques in satellite communications, IEEE Communication Magazine, pp.

    84-97, August 1994.

    [6] Pasupathy, S., Minimum shift keying: a spectrally efficient modulation, Communication

    Magazine,pp. 14-22, July, 1979.

    [7] Murota, K., and Hirade, K., GMSK modulation for digital mobile radio telephony, IEEE Trans.

    on Commun. vol. COM-29, no. 7, pp. 1044-1050, July 1981.