Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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An ideal digital differentiator is described by the system
1
yn=(xn+1-xn-1)-— — (xn+2] − x n − 2]) + 1 = (x[n + 3] − x[n − 3]) + ...
(a) Is the system LTI?
(b) Is it causal?
(c) Prove it is not BIBO stable.
(d) Provide a bounded input a[n] that produces an unbounded output y[n].
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Transcribed Image Text:An ideal digital differentiator is described by the system 1 yn=(xn+1-xn-1)-— — (xn+2] − x n − 2]) + 1 = (x[n + 3] − x[n − 3]) + ... (a) Is the system LTI? (b) Is it causal? (c) Prove it is not BIBO stable. (d) Provide a bounded input a[n] that produces an unbounded output y[n].
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