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Suppose that you have two systems in cascade. System I is specified by the difference equation y(n) = x(n)-x(n-2). System II has the frequency response H2(e^(jΩ))=(e^-(jΩ))/(1-ae^-(jΩ)) a) let x[n] = cos (pi n +pi/4). Find the output of the cascade for all the time if x[n] is the input signal. b) Repeat a) but for x[n] =sin(pi/2 n) c) Repeat a) but for x[n] =u[n] d)Sketch the magnitude and phase response of system I between -pi and pi

Suppose that you have two systems in cascade. System I is specified by the difference equation y(n) = x(n)-x(n-2). System II has the frequency response H2(e^(jΩ))=(e^-(jΩ))/(1-ae^-(jΩ)) a) let x[n] = cos (pi n +pi/4). Find the output of the cascade for all the time if x[n] is the input signal. b) Repeat a) but for x[n] =sin(pi/2 n) c) Repeat a) but for x[n] =u[n] d)Sketch the magnitude and phase response of system I between -pi and pi

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 you have two systems in cascade. System I is specified by the difference equation y(n) = x(n)-x(n-2). System II has the frequency response H2(e^(jΩ))=(e^-(jΩ))/(1-ae^-(jΩ))

a) let x[n] = cos (pi n +pi/4). Find the output of the cascade for all the time if x[n] is the input signal.

b) Repeat a) but for x[n] =sin(pi/2 n)

c) Repeat a) but for x[n] =u[n]

d)Sketch the magnitude and phase response of system I between -pi and pi

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