(c) A linear time (shift) invariant system is shown in Figure Q1(c) with q[n], p[n] and r[n] represent the impulse response, the input signal and the output signal of the system respectively. The following difference equation defines the system: r[n] = 4p[n] + 3p[n-1] -3p[n-2] + 2p[n-3] (i) (ii) Find and draw the impulse response q[n] of the system. Compute and draw the output response r[n] of the system given the input signal p[n] = [231]. (iii) Discuss and show that the output response of the system r[n] can also be obtained using the circular convolution operation between p[n] and q[n]. p[n] q[n] Figure Q1(c) r[n]
(c) A linear time (shift) invariant system is shown in Figure Q1(c) with q[n], p[n] and r[n] represent the impulse response, the input signal and the output signal of the system respectively. The following difference equation defines the system: r[n] = 4p[n] + 3p[n-1] -3p[n-2] + 2p[n-3] (i) (ii) Find and draw the impulse response q[n] of the system. Compute and draw the output response r[n] of the system given the input signal p[n] = [231]. (iii) Discuss and show that the output response of the system r[n] can also be obtained using the circular convolution operation between p[n] and q[n]. p[n] q[n] Figure Q1(c) r[n]
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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