NEET-XII-Physics

15: Communication Systems

  • #6
    A modulating signal is a square wave, as shown in Fig. 15.14.



    The carrier wave is given by
    (i) Sketch the amplitude modulated waveform
    (ii) What is the modulation index?
    Ans : It can be observed from the given modulating signal that the amplitude of the modulating signal, Am = 1 V

    It is given that the carrier wave c (t) = 2 sin (8``\pi``t)

    ∴Amplitude of the carrier wave, Ac = 2 V

    Time period of the modulating signal Tm = 1 s

    The angular frequency of the modulating signal is calculated as:



    The angular frequency of the carrier signal is calculated as:



    From equations (i) and (ii), we get:



    The amplitude modulated waveform of the modulating signal is shown in the following figure.



    (ii)Modulation index,