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Unit 6: Multiplexing




                                                                                                Notes
                                  Figure 6.14: Amplitude Modulation

                                                            AM carrier
                Carrier wave









                                             Signal



          6.5.2 Frequency Modulation

          Frequency Modulation involves the modulation of the frequency of the analog sine wave where
          the instantaneous frequency of the carrier is deviated in proportion of the deviation of the
          modulated carrier with respect to the frequency of the instantaneous amplitude of the modulating
          signal. It may be said in a simple word that it occurs when the frequency of a carrier is changed
          based upon the amplitude of input signal. Unlike AM, the amplitude of carrier signal is unchanged.
          This makes FM modulation more immune to noise than AM and improves the overall signal-to-
          noise ratio of the communications system. Power output is also constant, differing from the
          varying AM power output. The amount of analog bandwidth necessary to transmit FM signal is
          greater than the amount necessary for AM, a limiting constraint for some systems. The
          modulating index for FM is given as below:
          β = f /f , where
              p  m
          β = Modulation index, f  = frequency of the modulating signal and f  = peak frequency
                               m                                      p
          deviation
                                   Figure 6.15: Frequency Modulation






                                                                                   t





                                        FM Signal

          From the Figure 6.15, it is inferred that the amplitude of the modulated signal always remains
          constant, irrespective of frequency and amplitude of modulating signal. It means that the
          modulating signal adds no power to the carrier in frequency modulation unlike to amplitude
          modulation. FM produces an infinite number of side bands spaced by the modulation frequency,
          fm that is not in case of AM. Therefore, AM considered a linear process whereas FM as a nonlinear
          process. It is necessary to transmit all side bands to reproduce a distortion free signal. Ideally,
          the bandwidth of the modulated signal is infinite in this case. In general the determination of the
          frequency content of an FM waveform is complicated, but when b is small, the bandwidth of the




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