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Exercise 3: A linear time-invariant discrete-time system is described by the difference equation y[n] = x[n] − 2x [n − 1] + 3x[n − 2] − 4x[n − 3] + 2x[n − 4]. a) Draw a block diagram that represents this system in terms of unit-delay elements, coefficient multipliers, and adders b) Determine the impulse response h[n] for this system. c) Use convolution to determine the output due to the input _x[n] = 8[n] − 8[n − 1] + 8[n − 2] = { 1 0 Plot the output sequence y[n] for -3 ≤ n ≤ 10. n = 0, 1, 2 otherwise

Exercise 3: A linear time-invariant discrete-time system is described by the difference equation y[n] = x[n] − 2x [n − 1] + 3x[n − 2] − 4x[n − 3] + 2x[n − 4]. a) Draw a block diagram that represents this system in terms of unit-delay elements, coefficient multipliers, and adders b) Determine the impulse response h[n] for this system. c) Use convolution to determine the output due to the input _x[n] = 8[n] − 8[n − 1] + 8[n − 2] = { 1 0 Plot the output sequence y[n] for -3 ≤ n ≤ 10. n = 0, 1, 2 otherwise

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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Exercise 3: A linear time-invariant discrete-time system is described by the difference equation y[n] = x[n] − 2x [n − 1] + 3x[n − 2] − 4x[n − 3] + 2x[n − 4]. a) Draw a block diagram that represents this system in terms of unit-delay elements, coefficient multipliers, and adders b) Determine the impulse response h[n] for this system. c) Use convolution to determine the output due to the input x[n] = 8[n] − 8[n − 1] + 8[n − 2] = { 1 0 Plot the output sequence y[n] for −3 ≤ n ≤ 10. n = 0, 1, 2 otherwise
Transcribed Image Text:Exercise 3: A linear time-invariant discrete-time system is described by the difference equation y[n] = x[n] − 2x [n − 1] + 3x[n − 2] − 4x[n − 3] + 2x[n − 4]. a) Draw a block diagram that represents this system in terms of unit-delay elements, coefficient multipliers, and adders b) Determine the impulse response h[n] for this system. c) Use convolution to determine the output due to the input x[n] = 8[n] − 8[n − 1] + 8[n − 2] = { 1 0 Plot the output sequence y[n] for −3 ≤ n ≤ 10. n = 0, 1, 2 otherwise
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