Sketch the periodic signal k(t) = Eºm(t + kT) where the period T = 3 sfor a given signal m(t) in Figure Q3(a). Proof that by using the exponentialFourier Series, the signal expansion of k(t) is given by the followingexpression: (Hint: Simplify the coefficient xn in term of sinc function)jan(1-2t) sincQ3(a)(i)1k(t) = 3 en=-o(ii)Based on the answer in Q3(a)(i), predict the amplitude spectrum of the non-periodic signal m(t) in Figure Q3(a) with T = 200 s.Based on your understanding, give a suggestion to calculate the frequency domain ofsignal x(t) = eatu(t) and state your justification.(b)m(t)1tTFigure Q3(a)

Part (a) - (i) The periodic signal is given as,k(t)=∑-∞+∞m(t+kT)Where, The period is,T=3 seconds

Sketch the periodic signal k(t) = E°.m(t + kT) where the period T = 3 s for a given signal m(t) in Figure Q3(a). Proof that by using the exponential Fourier Series, the signal expansion of k(t) is given by the following expression: (Hint: Simplify the coefficient x, in term of sinc function) Q3 (a) (i) 1 k(t) =; > e(1-21) sinc 3 n=-∞ Based on the answer in Q3(a)(i), predict the amplitude spectrum of the non- periodic signal m(t) in Figure Q3(a) with T = 200 s. (ii) Based on your understanding, give a suggestion to calculate the frequency domain of signal x(t) = eatu(t) and state your justification. (b) m(t) 1 t 1 T

Sketch the periodic signal k(t) = E°.m(t + kT) where the period T = 3 s for a given signal m(t) in Figure Q3(a). Proof that by using the exponential Fourier Series, the signal expansion of k(t) is given by the following expression: (Hint: Simplify the coefficient x, in term of sinc function) Q3 (a) (i) 1 k(t) =; > e(1-21) sinc 3 n=-∞ Based on the answer in Q3(a)(i), predict the amplitude spectrum of the non- periodic signal m(t) in Figure Q3(a) with T = 200 s. (ii) Based on your understanding, give a suggestion to calculate the frequency domain of signal x(t) = eatu(t) and state your justification. (b) m(t) 1 t 1 T

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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