1. Consider a continuous-time periodic signal x(t) = x(t + 7) with Fourier series representationx(t) = [X₂e/2nkt/Tk=-cowhere0.80.6€0.40.2Xk =-12-10Xo = 0.50, k even6л²k²It is straightforward to show that these Fourier series coefficients correspond to a continuous-time periodic trapezoidal signal, plotted below for T = 4 seconds.www2sin-3π/4(πk1sinnk, k odd(a) Suppose another periodic continuous-time signal z(t) is created having Fourier seriescoefficients given by Zx = Xe/. Using the Time Shift property of the continuous-timeFourier Series, sketch z(t), where 7 = 4 seconds.H(n)(b) Suppose the original periodic signal x(t) is input to a continuous-time LTI system withfrequency response H() shown below. With the signal period still T = 4 seconds, find anexpression for the LTI system output signal y(t) and sketch y(t)43m/4(rad/s)1012

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1. Consider a continuous-time periodic signal x(t) = x(t + 7) with Fourier series representation x(t) = [X₂e/2nkt/T k=-c where 0.8 0.6 € 0.4 Xk = 0.2 Xo = 0.5 0, k even 6 n²k² sin It is straightforward to show that these Fourier series coefficients correspond to a continuous- time periodic trapezoidal signal, plotted below for T = 4 seconds. лky sin nk ,k odd

1. Consider a continuous-time periodic signal x(t) = x(t + 7) with Fourier series representation x(t) = [X₂e/2nkt/T k=-c where 0.8 0.6 € 0.4 Xk = 0.2 Xo = 0.5 0, k even 6 n²k² sin It is straightforward to show that these Fourier series coefficients correspond to a continuous- time periodic trapezoidal signal, plotted below for T = 4 seconds. лky sin nk ,k odd

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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