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3. 4. Given yo[1] = 0 and yo[-2] = 1, determine the closed-form expression of the zero-input response yo[n] of an LTI system described by the equation y[n + 1] + 3y[n] + 2y[n − 1] = 3x[n + 1] + 33x[n] Consider an LTI system whose input x[n] and output y[n] are related by the dif- ference equation 4y[n + 1] + y[n − 1] = 8x[n+ 1] + 8x[n] Find the impulse response, then determine the output when x[n] = u[n].

3. 4. Given yo[1] = 0 and yo[-2] = 1, determine the closed-form expression of the zero-input response yo[n] of an LTI system described by the equation y[n + 1] + 3y[n] + 2y[n − 1] = 3x[n + 1] + 33x[n] Consider an LTI system whose input x[n] and output y[n] are related by the dif- ference equation 4y[n + 1] + y[n − 1] = 8x[n+ 1] + 8x[n] Find the impulse response, then determine the output when x[n] = u[n].

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3. 4. Given yo[-1] = 0 and yo[-2] = 1, determine the closed-form expression of the zero-input response yo[n] of an LTI system described by the equation y[n+ 1] + 3y[n] + 2y[n 1] = 3x[n + 1] + 33x[n] Consider an LTI system whose input x[n] and output y[n] are related by the dif- ference equation 4y[n+ 1] + y[n 1] = 8x[n + 1] + 8x[n] Find the impulse response, then determine the output when x[n] = u[n].
Transcribed Image Text:3. 4. Given yo[-1] = 0 and yo[-2] = 1, determine the closed-form expression of the zero-input response yo[n] of an LTI system described by the equation y[n+ 1] + 3y[n] + 2y[n 1] = 3x[n + 1] + 33x[n] Consider an LTI system whose input x[n] and output y[n] are related by the dif- ference equation 4y[n+ 1] + y[n 1] = 8x[n + 1] + 8x[n] Find the impulse response, then determine the output when x[n] = u[n].
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