(2) [10 points] Figure 2 portrays the fundamentals of amplitude modulation (AM), in particular, double-sideband (DSB) AM

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2 10 Points Figure 2 Portrays The Fundamentals Of Amplitude Modulation Am In Particular Double Sideband Dsb Am 1 (48.59 KiB) Viewed 15 times

(2) [10 points] Figure 2 portrays the fundamentals of amplitude modulation (AM), in particular, double-sideband (DSB) AM. The message signal is g(t), and cos(at) cos(27 fot) is the carrier. 8001 g(1) cos Gif+faV/2 GUT (b) (d) G(f-fol/2 ANT (C) Fig. 2: Fundamental double-sideband (DBS) amplitude modulation (a) Mathematically derive the spectrum or Fourier Transform of g(t) directly from the formula/definition of Fourier Transform. (NOT using the tables of Fourier transform properties.) [5 points] (b) Express the spectrum or Fourier Transform of g(t) cos(27 fot) in a Mathematical manner. It is described in a graphical manner in Fig. 2-(d). [2 points] (c) Describe how to demodulate this signal at the receiver. Draw the spectrum of the demodulated signal in the frequency domain. [3 points]