i) Suppose that three systems are connected in cascade. In other words, the output of Sį is the input to S2, and the output of S2 is the input to S3. The three systems are specified as follows: S1 : yı[n] = x1[n] – x1[n – 1] S2 : y2[n] = x2[n] + x2[n – 2] S3 : y3[n] = x3[n – 1] + x3[n – 2] - Thus x1[n] = x[n], 12[n] = y1[n], x3[n] = y2[n], and y[n] = ys[n]. We wish to determine the equivalent system that is a single operation from the input ¤n] (into S1) to the output y[n], which is the output of S3. (a) Determine the impulse response h;[n] for each individual subsystem S;. (b) Determine the impulse response h[n] of the overall system, i.e., find h[n] y[n] = x[n] + h[n], (c) Write one difference equation that defines the overall system in terms of x[n] and y[n] only.

i) Suppose that three systems are connected in cascade. In other words, the output of Sį is the input to S2, and the output of S2 is the input to S3. The three systems are specified as follows: S1 : yı[n] = x1[n] – x1[n – 1] S2 : y2[n] = x2[n] + x2[n – 2] S3 : y3[n] = x3[n – 1] + x3[n – 2] - Thus x1[n] = x[n], 12[n] = y1[n], x3[n] = y2[n], and y[n] = ys[n]. We wish to determine the equivalent system that is a single operation from the input ¤n] (into S1) to the output y[n], which is the output of S3. (a) Determine the impulse response h;[n] for each individual subsystem S;. (b) Determine the impulse response h[n] of the overall system, i.e., find h[n] y[n] = x[n] + h[n], (c) Write one difference equation that defines the overall system in terms of x[n] and y[n] only.

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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