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Suppose that we are given the following information about a signal x[n]: 1. x[n] is a real signal. 2. x[n] is periodic with period N = 3 and has Fourier coefficients ak. 3. ao = 0 4. E-o lr[n][² = . 5. aj is a positive real number. Show that xn] = A cos(Bn + C), and determine the values of the constants A, B, and C.

Suppose that we are given the following information about a signal x[n]: 1. x[n] is a real signal. 2. x[n] is periodic with period N = 3 and has Fourier coefficients ak. 3. ao = 0 4. E-o lr[n][² = . 5. aj is a positive real number. Show that xn] = A cos(Bn + C), and determine the values of the constants A, B, and C.

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
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Suppose that we are given the following information about a signal a[n]: 1. x[n] is a real signal. 2. r[n] is periodic with period N = 3 and has Fourier coefficients ak. 3. ao = 0 4. E-o læ[n]]? =. n=0 5. a1 is a positive real number. Show that x[n] A cos(Bn + C), and determine the values of the constants A, B, and C.
Transcribed Image Text:Suppose that we are given the following information about a signal a[n]: 1. x[n] is a real signal. 2. r[n] is periodic with period N = 3 and has Fourier coefficients ak. 3. ao = 0 4. E-o læ[n]]? =. n=0 5. a1 is a positive real number. Show that x[n] A cos(Bn + C), and determine the values of the constants A, B, and C.
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