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Figure in the below presents the direct form II realization of a difference equation. Assume that the resulting system is linear and time-invariant. x[n] v[n] y[n] z1 1/3 -2 a) Find the direct form I realization. b) Find the difference equation described by the direct form I realization. c) Find the relation between v[n] and y[n]. Find the relation between v[n] and x[n]. Using these relations, verify that the relation between y[n] and x[n] in the direct form II realiza- tion is the same as your answer to part (b).

Figure in the below presents the direct form II realization of a difference equation. Assume that the resulting system is linear and time-invariant. x[n] v[n] y[n] z1 1/3 -2 a) Find the direct form I realization. b) Find the difference equation described by the direct form I realization. c) Find the relation between v[n] and y[n]. Find the relation between v[n] and x[n]. Using these relations, verify that the relation between y[n] and x[n] in the direct form II realiza- tion is the same as your answer to part (b).

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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Figure in the below presents the direct form II realization of a difference equation. Assume that the resulting system is linear and time-invariant. v[n] x[n] yln] z1 1/3 -2 a) Find the direct form I realization. b) Find the difference equation described by the direct form I realization. c) Find the relation between v[n] and y[n]. Find the relation between v[n] and x[n]. Using these relations, verify that the relation between y[n] and x[n] in the direct form II realiza- tion is the same as your answer to part (b).
Transcribed Image Text:Figure in the below presents the direct form II realization of a difference equation. Assume that the resulting system is linear and time-invariant. v[n] x[n] yln] z1 1/3 -2 a) Find the direct form I realization. b) Find the difference equation described by the direct form I realization. c) Find the relation between v[n] and y[n]. Find the relation between v[n] and x[n]. Using these relations, verify that the relation between y[n] and x[n] in the direct form II realiza- tion is the same as your answer to part (b).
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