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A causal linear time invariant system obeys the difference equation: y[n] - 2y[n-1] + 2y[n-2] - y[n-3] +0.2y[n-4] = 3x[n] + 5x[n-1] + 7x[n-2] + 5x[n-3] + 3x[n-4] (x[n] is the input and y[n] is the output)   i) is the system stable? ii) Is this system minimum phase? Explain.

A causal linear time invariant system obeys the difference equation: y[n] - 2y[n-1] + 2y[n-2] - y[n-3] +0.2y[n-4] = 3x[n] + 5x[n-1] + 7x[n-2] + 5x[n-3] + 3x[n-4] (x[n] is the input and y[n] is the output)   i) is the system stable? ii) Is this system minimum phase? Explain.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A causal linear time invariant system obeys the difference equation:

y[n] - 2y[n-1] + 2y[n-2] - y[n-3] +0.2y[n-4] = 3x[n] + 5x[n-1] + 7x[n-2] + 5x[n-3] + 3x[n-4]

(x[n] is the input and y[n] is the output)

 

i) is the system stable?

ii) Is this system minimum phase? Explain.

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