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Problem 5 For the difference equation 0=2y[n+2]-3y[n+1]-2y[n]-4x[n+2]+2x[n+1] a. Put the difference equation in standard causal form y[n]=... b. Draw a block diagram (i.e., flow diagram, or digital filter structure) implementing this difference equation. c. For the input x[n] = [n] and the system at rest (i.e., zero initial conditions), compute y[-1],y[0], [1], [2], and y[3] by hand directly from the difference equation. d. Find the transfer function H(z). e. Compute the unit pulse response h[n],via inverse z-transform. Confirm that h[-1] through h[3] are identical to the samples of the unit pulse response computed above via direct iteration of the difference equation.

Problem 5 For the difference equation 0=2y[n+2]-3y[n+1]-2y[n]-4x[n+2]+2x[n+1] a. Put the difference equation in standard causal form y[n]=... b. Draw a block diagram (i.e., flow diagram, or digital filter structure) implementing this difference equation. c. For the input x[n] = [n] and the system at rest (i.e., zero initial conditions), compute y[-1],y[0], [1], [2], and y[3] by hand directly from the difference equation. d. Find the transfer function H(z). e. Compute the unit pulse response h[n],via inverse z-transform. Confirm that h[-1] through h[3] are identical to the samples of the unit pulse response computed above via direct iteration of the difference equation.

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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Problem 5 For the difference equation 0=2y[n+2]-3y[n+1]-2y[n]-4x[n+2]+2x[n+1] a. Put the difference equation in standard causal form_y[n]=... b. Draw a block diagram (i.e., flow diagram, or digital filter structure) implementing this difference equation. c. For the input x[n] = [n] and the system at rest (i.e., zero initial conditions), compute y[-1],y[0], y[1],y[2], and y[3] by hand directly from the difference equation. d. Find the transfer function H(z). e. Compute the unit pulse response h[n],via inverse z-transform. Confirm that [-1] through h[3] are identical to the samples of the unit pulse response computed above via direct iteration of the difference equation.
Transcribed Image Text:Problem 5 For the difference equation 0=2y[n+2]-3y[n+1]-2y[n]-4x[n+2]+2x[n+1] a. Put the difference equation in standard causal form_y[n]=... b. Draw a block diagram (i.e., flow diagram, or digital filter structure) implementing this difference equation. c. For the input x[n] = [n] and the system at rest (i.e., zero initial conditions), compute y[-1],y[0], y[1],y[2], and y[3] by hand directly from the difference equation. d. Find the transfer function H(z). e. Compute the unit pulse response h[n],via inverse z-transform. Confirm that [-1] through h[3] are identical to the samples of the unit pulse response computed above via direct iteration of the difference equation.
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