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Q1) [50p] Consider the following periodic function. x(t) -3 -2 10 1 a) Determine the Fourier series coefficients, x, of x(t) by using 1 To/2 xn x(t)e-12mnfot dt -To/2 2 3 b) Determine Fourier Series coefficients, x, of x(t), by using the Fourier transform of periodic signals. Compare the result with the one you have obtained in part a). Q2)[50p] Compute the Fourier series coefficients, y of the signal y(t) which is obtained by passing x(t) in Q1) through the following LTI filter. where, HI 1 x(t) y(t) h(t) f (Hz) +00 *** H(f) = h(t)e-j2mft dt -00 42H(S) KIN N f (Hz)

Q1) [50p] Consider the following periodic function. x(t) -3 -2 10 1 a) Determine the Fourier series coefficients, x, of x(t) by using 1 To/2 xn x(t)e-12mnfot dt -To/2 2 3 b) Determine Fourier Series coefficients, x, of x(t), by using the Fourier transform of periodic signals. Compare the result with the one you have obtained in part a). Q2)[50p] Compute the Fourier series coefficients, y of the signal y(t) which is obtained by passing x(t) in Q1) through the following LTI filter. where, HI 1 x(t) y(t) h(t) f (Hz) +00 *** H(f) = h(t)e-j2mft dt -00 42H(S) KIN N f (Hz)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1) [50p] Consider the following periodic function. x(t) -3 -2 10 1 a) Determine the Fourier series coefficients, x, of x(t) by using 1 To/2 xn x(t)e-12mnfot dt -To/2 2 3 b) Determine Fourier Series coefficients, x, of x(t), by using the Fourier transform of periodic signals. Compare the result with the one you have obtained in part a). Q2)[50p] Compute the Fourier series coefficients, y of the signal y(t) which is obtained by passing x(t) in Q1) through the following LTI filter. where, HI 1 x(t) y(t) h(t) f (Hz) +00 *** H(f) = h(t)e-j2mft dt -00 42H(S) KIN N f (Hz)
Transcribed Image Text:Q1) [50p] Consider the following periodic function. x(t) -3 -2 10 1 a) Determine the Fourier series coefficients, x, of x(t) by using 1 To/2 xn x(t)e-12mnfot dt -To/2 2 3 b) Determine Fourier Series coefficients, x, of x(t), by using the Fourier transform of periodic signals. Compare the result with the one you have obtained in part a). Q2)[50p] Compute the Fourier series coefficients, y of the signal y(t) which is obtained by passing x(t) in Q1) through the following LTI filter. where, HI 1 x(t) y(t) h(t) f (Hz) +00 *** H(f) = h(t)e-j2mft dt -00 42H(S) KIN N f (Hz)
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