Question 1 (a) Let x[n] be a real periodic signal with period N and Fourier coefficients ak. (i) Show that if N is even, at least two of the Fourier coefficients within one period of ak are real. (ii) Show that if N is odd, at least one of the Fourier coefficients within one period of ak is real. (b) Find the closed-form expression of the convolution of the sequences x(n) = (0.6)nu(n) and h(n) = (0.5)nu(n). (c) ) A system with input x(t) and output y(t) is defined by the equationp y(t) = sin[x(t)].

Question 1 (a) Let x[n] be a real periodic signal with period N and Fourier coefficients ak. (i) Show that if N is even, at least two of the Fourier coefficients within one period of ak are real. (ii) Show that if N is odd, at least one of the Fourier coefficients within one period of ak is real. (b) Find the closed-form expression of the convolution of the sequences x(n) = (0.6)nu(n) and h(n) = (0.5)nu(n). (c) ) A system with input x(t) and output y(t) is defined by the equationp y(t) = sin[x(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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