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Problem 3 (3 pts each). Consider the DT system described by: y[n] - 4y[n-1] + 4y[n − 2] = 2x[n] 2x [n-1]. (a) Determine the impulse response function h[n] of the system, and calculate the value of h[n] at n=0 (Q28), n=3 (Q29), and n=6, (Q30). (b) Determine the system output y[n] assuming x[n] = u[n], and calculate the value of y[n] at n=0 (Q31), n=3 (Q32), n=6, (Q33). (c) Is the system memoryless? (Q34) (d) Is the system causal? (Q35) (e) Is the system stable? (Q36) (f) Is the system time-invariant? (Q37) (g) Is the system linear? (Q38)

Problem 3 (3 pts each). Consider the DT system described by: y[n] - 4y[n-1] + 4y[n − 2] = 2x[n] 2x [n-1]. (a) Determine the impulse response function h[n] of the system, and calculate the value of h[n] at n=0 (Q28), n=3 (Q29), and n=6, (Q30). (b) Determine the system output y[n] assuming x[n] = u[n], and calculate the value of y[n] at n=0 (Q31), n=3 (Q32), n=6, (Q33). (c) Is the system memoryless? (Q34) (d) Is the system causal? (Q35) (e) Is the system stable? (Q36) (f) Is the system time-invariant? (Q37) (g) Is the system linear? (Q38)

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 3 (3 pts each). Consider the DT system described by: y[n] - 4y[n-1] + 4y[n − 2] = 2x[n] 2x [n-1]. (a) Determine the impulse response function h[n] of the system, and calculate the value of h[n] at n=0 (Q28), n=3 (Q29), and n=6, (Q30). (b) Determine the system output y[n] assuming x[n] = u[n], and calculate the value of y[n] at n=0 (Q31), n=3 (Q32), n=6, (Q33). (c) Is the system memoryless? (Q34) (d) Is the system causal? (Q35) (e) Is the system stable? (Q36) (f) Is the system time-invariant? (Q37) (g) Is the system linear? (Q38)
Transcribed Image Text:Problem 3 (3 pts each). Consider the DT system described by: y[n] - 4y[n-1] + 4y[n − 2] = 2x[n] 2x [n-1]. (a) Determine the impulse response function h[n] of the system, and calculate the value of h[n] at n=0 (Q28), n=3 (Q29), and n=6, (Q30). (b) Determine the system output y[n] assuming x[n] = u[n], and calculate the value of y[n] at n=0 (Q31), n=3 (Q32), n=6, (Q33). (c) Is the system memoryless? (Q34) (d) Is the system causal? (Q35) (e) Is the system stable? (Q36) (f) Is the system time-invariant? (Q37) (g) Is the system linear? (Q38)
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