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3) Consider a casual LTI system S whose input x[n] and output y[n] related by the difference equation 2y[n] – y[n – 1] + y[n – 3] = x[n] – 5x[n – 4]. a) Verify that S may be considered a cascade connection of two casual LTI systems S, and S2 with the following input-output relationship: S; : 2y,[n] = x,[n] – 5x, [n – 4), S;: yz[n] = ;y2[n – 1] – yaln – 3] + xz[n]. b) Draw a block diagram representation of S1. Draw a block diagram representation of S2. c)

3) Consider a casual LTI system S whose input x[n] and output y[n] related by the difference equation 2y[n] – y[n – 1] + y[n – 3] = x[n] – 5x[n – 4]. a) Verify that S may be considered a cascade connection of two casual LTI systems S, and S2 with the following input-output relationship: S; : 2y,[n] = x,[n] – 5x, [n – 4), S;: yz[n] = ;y2[n – 1] – yaln – 3] + xz[n]. b) Draw a block diagram representation of S1. Draw a block diagram representation of S2. 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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3) Consider a casual LTI system S whose input x[n] and output y[n] related by the difference equation 2y[n] — у[п — 1] + у[n — 3] %3D х [п] — 5x[п — 4]. a) Verify that S may be considered a cascade connection of two casual LTI systems S, and S2 with the following input-output relationship: S:2y1[n] = x1[n] – 5x1[n – 4], S2: Yaln] = }y2[n – 1] –ln – 3] + xz[n]. Draw a block diagram representation of S1. Draw a block diagram representation of S2. d) Draw a block diagram representation of S as a cascade connection of the block diagram representation of S, followed by the block diagram representation of S2. Draw a block diagram representation of S as a cascade connection of the block diagram b) c) е) representation of S2 followed by the block diagram representation of S1.
Transcribed Image Text:3) Consider a casual LTI system S whose input x[n] and output y[n] related by the difference equation 2y[n] — у[п — 1] + у[n — 3] %3D х [п] — 5x[п — 4]. a) Verify that S may be considered a cascade connection of two casual LTI systems S, and S2 with the following input-output relationship: S:2y1[n] = x1[n] – 5x1[n – 4], S2: Yaln] = }y2[n – 1] –ln – 3] + xz[n]. Draw a block diagram representation of S1. Draw a block diagram representation of S2. d) Draw a block diagram representation of S as a cascade connection of the block diagram representation of S, followed by the block diagram representation of S2. Draw a block diagram representation of S as a cascade connection of the block diagram b) c) е) representation of S2 followed by the block diagram representation of S1.
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