Mod 2
Mod 2
Principles of Communication
           Systems
          BEC 402
                Dr. Anupama H
              Assistant Professor
            Department of ECE, BIT
                   BANGALORE INSTITUTE OF TECHNOLOGY
AM Concepts
• The information signal varies the amplitude of the carrier sine wave.
• The carrier frequency remains constant during the modulation process, but its
  amplitude varies in accordance with the modulating signal.
• An increase in the amplitude of the modulating signal causes the amplitude of
  the carrier to increase.
• Both the positive and the negative peaks of the carrier wave vary with the
  modulating signal.
• An increase or a decrease in the amplitude of the modulating signal causes a
  corresponding increase or decrease in both the positive and the negative peaks
  of the carrier amplitude.
• An imaginary line connecting the positive peaks and negative peaks of the carrier
  waveform gives the exact shape of the modulating information signal is known as
  the envelope.
                                                                                Dr. Anupama H
                                                                                Assistant Professor
                                                                                Dept. of ECE, BIT
    AM Modulator
• A circuit that changes a lower-frequency baseband or intelligence signal to a higher-frequency signal is
  usually called a modulator.
• A circuit used to recover the original intelligence signal from an AM wave is known as a detector or
  demodulator
                                                                                                        Dr. Anupama H
                                                                                                        Assistant Professor
                                                                                                        Dept. of ECE, BIT
                                                              Dr. Anupama H
                                                              Assistant Professor
                                                              Dept. of ECE, BIT
   AM in Time Domain
• The sine wave carrier can be expressed as
                    vc =Vc sin2πfc t
where
   vc - represents the instantaneous value of the carrier sine wave voltage at some specific time in the cycle
     Vc- represents the peak value of the constant unmodulated carrier sine wave
     fc- is the frequency of the carrier sine wave
     t - a particular point in time during the carrier cycle.
• A sine wave modulating signal can be expressed as
                    vm = Vm sin2πfmt
where
     vm = instantaneous value of information signal
     Vm = peak amplitude of information signal
     fm = frequency of modulating signal
   the peak value of the carrier is the reference point for the modulating signal, the value of the modulating
signal is added to or subtracted from the peak value of the carrier.                                             Dr. Anupama H
                                                                                                                 Assistant Professor
                                                                                                                 Dept. of ECE, BIT
• The instantaneous value of either the top or the bottom voltage envelope υ1 can be computed by
  using the equation
• the instantaneous value of the complete modulated wave υ2 by substituting υ1 for the peak value
  of carrier voltage Vc as follows:
where,
v2 is the instantaneous value of the AM wave (or υAM)
Vc sin 2πfc t is the carrier waveform, and
                                                                                                  Dr. Anupama H
(Vm sin2πfmt) (sin2πfc t) is the carrier waveform multiplied by the modulating signal waveform.   Assistant Professor
                                                                                                  Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
• where the first term is the carrier; the second term, containing the difference fc - fm, is the lower
  sideband; and the third term, containing the sum fc + fm, is the upper sideband.
                                                                                                    Dr. Anupama H
                                                                                                    Assistant Professor
                                                                                                    Dept. of ECE, BIT
  AM - Frequency-Domain Representation
• plot of the carrier and sideband amplitudes with respect to frequency
• the horizontal axis represents frequency, and the vertical axis represents the amplitudes of the signals.
• The signals may be voltage, current, or power amplitudes
• A plot of signal amplitude versus frequency is referred to as a frequency-domain display.
• Spectrum analyzer instrument is used to display the frequency domain of a signal.
• Taking Fourier transform of the AM signal represents the frequency domain of a signal
• amplitudes in the frequency-domain display are the peak values of the carrier and sideband sine waves as
  Vc/2 and mVc/4 respectively
                                                                                                              Dr. Anupama H
                                                                                                              Assistant Professor
                                                                                                              Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
                                                                                                                Dr. Anupama H
                                                                                                                Assistant Professor
                                                                                                                Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
• Computation of the modulation index from measurements taken on the composite modulated wave
• The peak value of the modulating signal Vm is one-half the difference of the peak and trough values
• Vmax is the peak value of the signal during modulation, and Vmin is the lowest value, or trough, of the
  modulated wave. The Vmax is one-half the peak-to-peak value of the AM signal, or Vmax (p 2p)/2.
• Subtracting Vmin from Vmax produces the peak to-peak value of the modulating signal.
                                                                                                            Dr. Anupama H
                                                                                                            Assistant Professor
                                                                                                            Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
 AM Power
• In radio transmission, the AM signal is amplified by a power amplifier and fed to the antenna with
  a characteristic impedance that is ideally, pure resistance.
• The total transmitted power PT is sum of the carrier power Pc and the power in the two sidebands
  PUSB and PLSB
• original AM equation
• Vc and Vm are peak values of the carrier and modulating sine waves, respectively. For power
  calculations, rms values must be used for the voltages.
• Using coefficients on the sine and cosine terms in the power formula
                                                                                                  Dr. Anupama H
                                                                                                  Assistant Professor
                                                                                                  Dept. of ECE, BIT
• Since the term Vc2/2R is equal to the rms carrier power Pc, giving
• In terms of current
where
                                                                                          Dr. Anupama H
                                                                                          Assistant Professor
                                                                                          Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
Advantages of AM
• Simple and effective.
• Used in AM radio broadcasting, CB radio, TV broadcasting, and aircraft tower communication.
• Simple control radios use ASK because of its simplicity. Ex: garage door openers and remote
  keyless entry devices on cars.
• AM is also widely used in combination with phase modulation to produce quadrature amplitude
  modulation (QAM) which facilitates high-speed data transmissions in modems, cable TV, and
  some wireless applications.
                                                                                                Dr. Anupama H
                                                                                                Assistant Professor
                                                                                                Dept. of ECE, BIT
Single-Sideband Modulation
• two-thirds of the transmitted power is in the carrier, which itself conveys no information.
• The real information is contained within the sidebands.
• One way to improve the efficiency of amplitude modulation is to suppress the carrier and
  eliminate one sideband, which results in single-sideband (SSB) signal.
• SSB is a form of AM that offers unique benefits
• To generate an SSB signal, suppress the carrier, leaving the upper and lower sidebands. This type
  of signal is referred to as a double-sideband suppressed carrier (DSSC or DSB) signal.
• DSB is the algebraic sum of the two sinusoidal sidebands, is the signal produced when a carrier is
  modulated by a single-tone sine wave information signal. The carrier is suppressed, and the time-
  domain DSB signal is a sine wave at the carrier frequency, varying in amplitude
• A unique characteristic - phase transitions occur at the lower-amplitude portions of the wave
• spectrum space occupied by a DSB signal is the same as that for a conventional AM signal
• DSB AM saves considerable power, not widely used because the signal is difficult to demodulate
  at the receiver
                                                                                                 Dr. Anupama H
                                                                                                 Assistant Professor
                                                                                                 Dept. of ECE, BIT
DSB
                                                            Dr. Anupama H
                                                            Assistant Professor
                                                            Dept. of ECE, BIT
SSB
                                                            Dr. Anupama H
                                                            Assistant Professor
                                                            Dept. of ECE, BIT
                                                                                                                   Dr. Anupama H
                                                                                                                   Assistant Professor
                                                                                                                   Dept. of ECE, BIT
SSB Power
• The peak envelope power =
                                                                                                Dr. Anupama H
                                                                                                Assistant Professor
                                                                                                Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
Amplitude Modulators
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
Low-Level AM
• Signals are generated at very low voltage and power amplitudes.
• The voltage is typically less than 1 V, and the power is in milliwatts
• class A, class AB, or class B—raise the level of the signal to the desired power level before the AM
  signal is fed to the antenna.
                                                                                                   Dr. Anupama H
                                                                                                   Assistant Professor
                                                                                                   Dept. of ECE, BIT
                                                            Dr. Anupama H
                                                            Assistant Professor
                                                            Dept. of ECE, BIT
Transistor Modulator
• uses a transistor instead of the diode
• The circuit has gain. The emitter-base junction
 is a diode and a nonlinear device.
• Modulation occurs as described in Diode
Modulator
• Except that the base current controls a larger
• collector current, the circuit amplifies.
• Rectification occurs because of the emitter-base junction.
• Causing larger half-sine pulses of current in the tuned circuit.
• The tuned circuit oscillates (rings) to generate the missing half-cycle.
• The output is a classic AM wave.
                                                                             Dr. Anupama H
                                                                             Assistant Professor
                                                                             Dept. of ECE, BIT
                                                                                                                  Dr. Anupama H
                                                                                                                  Assistant Professor
                                                                                                                  Dept. of ECE, BIT
High-Level AM
• Modulator varies the voltage and power in the final RF amplifier stage of the
  transmitter.
• Results is high efficiency in the RF amplifier
• High-quality performance.
                                                                                  Dr. Anupama H
                                                                                  Assistant Professor
                                                                                  Dept. of ECE, BIT
Collector Modulator
• The modulator is a linear power amplifier that takes the low-level modulating signal and amplifies it to a high-power level.
• The modulating output signal is coupled through modulation transformer T1 to the class C amplifier.
• The secondary winding of the modulation transformer is connected in series with the collector supply voltage VCC of the class C amplifi er.
• With a zero-modulation input signal, there is zero-modulation voltage across the secondary of T1, the collector supply voltage is applied
  directly to the class C amplifi er, and the output carrier is a steady sine wave.
• When the modulating signal occurs, the ac voltage of the modulating signal across the secondary of the modulation transformer is added to
  and subtracted from the dc collector supply voltage.
• Then applied to the class C amplifi er, causing the amplitude of the current pulses through transistor Q1 to vary.
• Hence the amplitude of the carrier sine wave varies in accordance with the modulated signal.
• When the modulation signal goes positive, it adds to the collector supply voltage, increasing its value and causing higher current pulses and
  a higher-amplitude carrier.
• When the modulating signal goes negative, it subtracts from the collector supply voltage, decreasing it
• class C amplifi er current pulses are smaller, resulting in a lower-amplitude carrier output.
• For 100 percent modulation, the peak of the modulating signal across the secondary of T1 must be equal to the supply voltage. When the
  positive peak occurs, the voltage applied to the collector is twice the collector supply voltage
• When the modulating signal goes negative, it subtracts from the collector supply voltage. When the negative peak is equal to the supply
  voltage, the effective voltage applied to the collector of Q1 is zero, producing zero carrier output
• The collector current pulses cause the tuned circuit to oscillate (ring) at the desired output frequency.
                                                                                                                                                Dr. Anupama H
• The tuned circuit reproduces the negative portion of the carrier signal                                                                       Assistant Professor
                                                                                                                                                Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
 Series Modulator
• major disadvantage of collector modulators is the need for a modulation transformer
  that connects the audio amplifi er to the class C amplifi er in the transmitter. The higher
  the power, the larger and more expensive the transformer.
• Transistorized version of a collector modulator in which a transistor is used to replace the
  transformer approach is series modulator
• Replaces the transformer with an emitter follower.
• The modulating signal is applied to the emitter follower Q2, which is an audio power
  amplifier.
• Q2 simply varies the supply voltage to Q1.
• If the modulating signal goes positive, the supply voltage to Q1 increases; thus, the
  carrier amplitude increases in proportion to the modulating signal.
• If the modulating signal goes negative, the supply voltage to Q1 decreases, thereby
  decreasing the carrier amplitude in proportion to the modulating signal.
• For 100 percent modulation, the emitter follower can reduce the supply voltage to zero
  on maximum negative peaks.
                                                                                             Dr. Anupama H
                                                                                             Assistant Professor
                                                                                             Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
• The magnetic fields thus cancel each other out. No output is induced in the secondary, and the carrier is
  effectively suppressed.
• When the polarity of the carrier reverses, diodes D1 and D2 are reverse-biased and diodes D3 and D4
  conduct the current flows in the secondary winding of T1 and the primary winding of T2.
• The equal and opposite magnetic fields produced in T2 cancel each other out. The carrier is effectively
  balanced out, and its output is zero.
• phase reversal of the signal in the very center of the waveform
                                                                                                              Dr. Anupama H
                                                                                                              Assistant Professor
                                                                                                              Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
 Frequency-Division Multiplexing
• Multiplexing is the process of simultaneously transmitting two or more individual signals over a single
  communication channel, cable or wireless, it increases the number of communication channels so that more
  information can be transmitted.
• The two most common types of multiplexing are frequency-division multiplexing (FDM) and time-division
  multiplexing (TDM).
• FDM systems are used for analog information and TDM systems are used for digital information
                                                                                                          Dr. Anupama H
                                                                                                          Assistant Professor
                                                                                                          Dept. of ECE, BIT
 FDM Transmitter-Multiplexers
• In (FDM), multiple signals share the bandwidth of a common communication channel
• Each signal to be transmitted feeds a modulator circuit. The carrier for each modulator (fc) is on a different frequency.
• The carrier frequencies are usually equally spaced from one another over a specific frequency range. These carriers are
  referred to as subcarriers.
• Each input signal is given a portion of the bandwidth.
• Any of the standard kinds of modulation can be used, including AM, SSB, FM, PM, or any of the various digital modulation
  methods.
• The FDM process divides up the bandwidth of the single channel into smaller, equally spaced channels, each capable of
  carrying information in sidebands.
• The modulator outputs containing the sideband information are added algebraically in a linear mixer; no modulation or
  generation of sidebands takes place.
• The resulting output signal is a composite of all the modulated subcarriers.
                                                                                                                              Dr. Anupama H
                                                                                                                              Assistant Professor
                                                                                                                              Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT
Receiver-Demultiplexers
• A receiver picks up the signal and demodulates it, recovering the composite signal.
• This is sent to a group of bandpass filters, each centered on one of the carrier frequencies.
• Each filter passes only its channel and rejects all others. A channel demodulator then recovers
  each original input signal.
                                                                                                    Dr. Anupama H
                                                                                                    Assistant Professor
                                                                                                    Dept. of ECE, BIT
                                                          Dr. Anupama H
                                                          Assistant Professor
                                                          Dept. of ECE, BIT