Q1. a) Determine the Fourier series coefficients of x(t) given below. b) Plot the magnitude spectrum...

Transcribed Image Text:

Q1. a) Determine the Fourier series coefficients of x(t) given below. b) Plot the magnitude spectrum of x(f), |X(f)|. c) Let y(t) is the output of a filter, when x(f) is the input and H(f) is the frequency response of the filter. Determine y(t) when x(t) is passed through the following filters (T = 0.25). i) H(f) = 2 [1(4) jn е 2 - 3 < f < 0 ii) H(f) = jn 0 <f < 3 otherwise e 2, x(t) Q1. a) Determine the Fourier series coefficients of x(t) given below. b) Plot the magnitude spectrum of x(f), |X(f)|. c) Let y(t) is the output of a filter, when x(f) is the input and H(f) is the frequency response of the filter. Determine y(t) when x(t) is passed through the following filters (T = 0.25). i) H(f) = 2 [1(4) jn е 2 - 3 < f < 0 ii) H(f) = jn 0 <f < 3 otherwise e 2, x(t)