Question 1 [22] A periodic signal p(t) is represented by its exponential Fourier series expansion given by p(t)= { 1+ jn

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Question 1 22 A Periodic Signal P T Is Represented By Its Exponential Fourier Series Expansion Given By P T 1 Jn 1 (47.84 KiB) Viewed 54 times

Question 1 [22] A periodic signal p(t) is represented by its exponential Fourier series expansion given by p(t)= { 1+ jn lejzant 1+ j2n ne-00 1.1. Write down the Fourier coefficient D, and the fundamental frequency 0 . (2) 1.2. Find the amplitude and phase for n=-2,-1,0,1,2 and plot their respective amplitude and phase spectra. (10) 1.3. Using Parseval's theorem, calculate the power size of the signal p(t) for n=-2,-1,0,1,2. (3) 1.4. Let the amplitude spectrum function of a system be given by |H (6)= u(09 +31 ) –u (com –31). If s(t) is the input signal to this system, plot the amplitude spectrum of the output ylt) for n=-2,-1,0,1,2. u (5) 1.5. Comment on the effect of the system with amplitude|H(0)| in Q1.4 while comparing the amplitude spectrum of the input signal and output signal. (2)