Assume that Hc(s) has an r th-order pole at s = s0, so that Hc(s) can be

Question:

Assume that Hc(s) has an r th-order pole at s = s0, so that Hc(s) can be expressed as

where Gc(s) has only first-order poles. Assume Hc(s) is causal.

(a) Give a formula for determining the constants Ak from Hc(s).

(b) Obtain an expression for the impulse response hc(t) in terms of s0 and gc(t), the inverse Laplace transform ofGc(s).

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:57 AM

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Assume that Hc(s) has an r th-order pole at s = s0, so that Hc(s) can be

Question:

Ak H(s) = + G.(s). (s - so) k=1

Step by Step Answer:

a b Expanding the sum to see things more clearly ...View the full answer

Discrete Time Signal Processing

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