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    AMPLITUDEMODULATION

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    MODULATION PRINCIPLES

    The process of having the information to betransmitted alter a high-frequency signal forthe purpose of transmitting the information

    somewhere in the electromagnetic spectrumvia radio, wire, or fiber optic.

    Information signal (modulating signal): voice,

    video, binary data Carrier: - higher frequency signal

    - Sine wave

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    AMPLITUDE MODULATION with SINEWAVES

    Amplitude Modulation is the simplest andearliest form of transmitters. (535 1605 kHz)

    AM applications include broadcasting in

    medium- and high-frequency applications, CBradio, and aircraft communications.

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    during the modulation process: carrierfrequency remain constant but its amplitudevaries accordance with the modulating signal.

    Envelope showing it is same as themodulating signal.

    Time domain signal variation of voltage over

    time. Peak value of the modulating signal be less

    than the peak value of the carrier.

    AMPLITUDE MODULATION with SIGNWAVES (Cont.)

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    Sine wave carrier can be expressed as below:

    AMPLITUDE MODULATION with SIGNWAVES (Cont.)

    tfVv ccc 2sin

    Where

    vc = instantaneous value of the sine voltage

    Vc = the peak value of the sine wave asmeasured between zero and themax.amplitude.

    fc= frequency of the carrier sine wave.

    t = some particular points in time during the accycle.

    *for modulating signal, signal can be expressed with similarexpression

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    Complete modulated wave can be expressedas:

    carriermodulation

    tftfV

    carrier

    tfVvtfvv

    envelopevVv

    cmmcc

    c

    mc

    )2(sin2sin2sin

    2sin

    )(?

    2

    12

    1

    modulator

    vm v2

    Vc

    AMPLITUDE MODULATION with SIGNWAVES (Cont.)

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    AMPLITUDE MODULATION WITH

    DIGITAL SIGNAL

    Binary 1= produce maximum carrier amplitude

    Binary 0= produce a lower-value carrier.

    Amplitude Shift Keying (ASK):

    The carrier is switched between twodifferent carrier levels.

    On-Off Keying (OOK):

    The binary 1 turns the carrier on and thebinary 0 level turns the carrier off.

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    MODULATION INDEX

    Modulation Index - The ratio between theamplitudes between the amplitudes of themodulating signal and carrier, expressed by

    the equation:

    Should be between 0 and 1. Ideal condition: m=1

    If more than 1: severe distortion of the

    modulated waveform or overmodulation.

    c

    m

    V

    Vm =

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    Modulation index can be computed from Vmaxand Vmin.

    It can be expressed as:

    The amount or depth of AM is normallyexpressed as percent modulation rather thanas a fractional.

    Percent of modulation is 100 x m.

    MODULATION INDEX

    minmax

    minmax=VV

    VVm

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    OVERMODULATION

    The waveform is flattened near the zero line. A sine wave whose negative peaks have

    been clipped off.

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    SIDEBANDS AND THE FREQ.

    DOMAIN

    Sidebands is a modulating signal that containsmultiple frequencies such as voice, video ordigital signal.

    Time domain information can be obtained usingan oscilloscope.

    Frequency domain information can becalculated using Fouriermethods, but

    trigonometric methods are simpler and valid.

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    Sidebands are calculated using the formulasat below:

    From the equation for an AM signal v2:

    From trigonometric identity:

    sin A sin B= [cos (A-B)/2 ] [cos (A+B)/2]

    SIDEBANDS

    mcLSB

    mcUSB

    fff

    fff

    )2(sin2sin2sin2 tftfVtfVv cmmcc

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    By substituting the identity into the expression,the instantaneous amplitude of the signalsbecomes:

    This means, an AM wave contains carrier and

    sidebands frequencies. When modulation occurs, sidebands are

    produced.

    SIDEBANDS

    USB

    mc

    m

    LSB

    mc

    m

    carrier

    cc fftV

    fftV

    tfVe )(2cos

    2

    )(2cos

    2

    2sin2

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    FREQUENCY DOMAIN

    Plot the carrier and sideband amplitudes withrespect to frequency.

    http://www.rfcafe.com/references/electrical/NEETS%20Modules/NEETS-Module-12-1-41-1-50.htm

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    BANDWIDTH

    Signal bandwidth is an important characteristic ofany modulation scheme.

    The difference between the upper and lowersidebands freq.

    In general, a narrow bandwidth is desirable.

    Bandwidth is calculated by:

    B=2fm

    Example:If the carrier frequency is 2.8MHz and the maximummodulating frequency for voice signals is 3kHz.Calculate the upper, lower sidebands and also thebandwidth.

    (ans: fUSB= 2803kHz, fLSB=2797kHz and BW= 6kHz)

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    COMMON AM APPLICATION

    AM radio broadcasting

    TV picture (video)

    Two- way radio (aircraft, amateur radio (SSB),

    military)

    Digital data transmissions

    Computer modems

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    AM POWER DISTRIBUTION

    Power in a transmitter is important, but themost important power measurement is that ofthe portion that transmits the information.

    AM carrier power remain unchanged. So, it iswasted matter.

    Power in an AM transmitter is calculatedaccording to the formula at the right:

    PT= PC + PLSB + PUSB or

    PT= PC (1+m2/2)

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    SIDEBANDS POWERS

    Depends upon the value of the modulationindex:

    The greater the percentage of mod, the higher the

    sideband power. The power in each sideband Ps is expressed

    by:

    The power in each sideband is 25% of thecarrier power if 100% modulation.

    4

    )(2

    mPPPP

    C

    USBLSBS

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    POWER CALCULATIONS

    Total antenna current is given by:

    2/1 2mIICT

    The total AM power the is:RIP

    TT

    2

    Modulation percentage then is given by:

    1/2 2 CTIIm

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    SINGLE SIDEBANDS

    The two sidebands of an AM signal are mirrorimages of one another

    As a result, one of the sidebands is redundant

    Using single-sideband suppressed-carriertransmission results in reduced bandwidthand therefore twice as many signals may betransmitted in the same frequency range.

    Typically, a 3dB improvement in signal-to-noise ratio is achieved as a result of SSBSC.

    Sidebands generated only during modulationprocess (ex: when someone speaks into mic).

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    BENEFITS OF SINGLESIDEBANDS

    The spectrum space occupied by the SSBsignal is only half that of AM and DSB signals.

    All the power previously devoted to the carrier

    and other sideband can be channeled into thesignal sideband.

    Less noise on the signal because the SSBsignal has less BW than an AM or a DSB

    signal. Less fading than an AM signal. The signal

    alternately increases and decreases instrength as it is picked up by the receiver.

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    TRANSMITTED SIGNAL OF AM

    AND SSB

    http://www.rfcafe.com/references/electrical/NEETS%20Modules/NEETS-Module-17-2-11-2-20.htm

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    The power advantage of SSB over AM is 3:1.

    Peak Envelope Power (PEP) is expressed by:

    PEP=V2/R

    where V= root mean square (rms) output voltage

    R= load resistance

    OR

    PEP=VsImaxwhere Vs= the amplifier supply voltage

    Imax= the current peak

    SSB POWER

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    SSB

    Two-way radio used in the military, CB radioand radio amateurs.

    DSB

    FM and TV broadcasting to transmit two-channel stereo signals.

    Used in some types of phase-shift keying totransmit binary data.

    DSB AND SSB APPLICATIONS

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    AM CIRCUITS

    Two basic ways to produce amplitudemodulation:

    1- Multiply the carrier by a gain or attenuation

    factor that varies with the modulating signal.2- Linearly mix or algebraically add the carrierand modulating signals and then apply the

    composite signals to a nonlinear device orcircuit.

    LOW LEVEL MODULATION

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    LOW LEVEL MODULATIONSYSTEM

    Low-level modulation systems use linear poweramplifiers

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    LOW-LEVEL AMPLITUDE

    MODULATOR

    Differential Amplifier Modulator

    DIFFERENTIAL AMPLIFIER

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    DIFFERENTIAL AMPLIFIERMOD

    The differential amplifier makes an excellentamplitude modulator.

    Has high gain

    Good linearity

    Can be modulated 100%

    Better frequency than this circuit is PIN Diode

    Modulator.

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    HIGH-LEVEL AMPLITUDE

    MODULATION

    High-level means the signals are generatedare relatively high voltage and poweramplitudes.

    The modulator varies the voltage and power inthe final RF amplifier stage of the transmitter.

    One of the HLAM is the collector modulator.

    G

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    Collectormodulator

    HIGH-LEVEL AMPLITUDE

    MODULATION

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    AMPLITUDE DEMODULATOR

    A circuit that accepts a modulated signal andrecovers the origin modulating information.

    Available in any radio receivers.

    The simplest and most widely used amplitudedemodulator is the diode detector.

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    BALANCED MODULATOR

    Generates a DSB signal.

    The inputs are the carrier and a modulatingsignal and the output are the upper and lower

    sidebands. The output can be further processed by filters

    or phase-shifting circuitry to eliminate one ofthe sidebands to get SSB.

    Examples of balanced modulator:1- Diode ring or lattice modulator

    2- IC balanced modulator (1496/1596)

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    AN SSB TRANSMITTER

    Two primary method of generating SSBsignals:

    1- Filter 2- Phasing

    An SSB transmitter using the filter

    method

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    FILTER METHOD

    A crystal oscillator provides the carrier signalto be applied to the balanced modulator.

    The DSB signal is passed to the band-pass

    filter to selects either the upper or the lowersideband.

    The filter are usually designed with a

    bandwidth of approximately 2.5 to 3kHz.

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    The phasing method of SSB signalgeneration

    AN SSB TRANSMITTER