Determine whether or not the filters with impulse responses given below are BIBO stable and f 0 are positive constants (a) h 1 (t) exp( t ) cos (2f 0 t) (b) h 2 (t) cos (2f 0 t) u(t) (c) h 3 (t) t 1 u(t 1) (d) h 4 (t) e t u (t) e (t 1) u (t 1) (e) h 5 (t) t 2 u (t 1) (f) h 6 (t) sinc(2t) ...

a The condition for stability is which follows because cos 2f ...

Determine whether or not the filters with impulse responses given below are BIBO stable. and f

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Determine whether or not the filters with impulse responses given below are BIBO stable. α and f₀ are positive constants.

(a) h₁ (t) = exp(-α |t|) cos (2πf₀t)

(b) h₂ (t) = cos (2πf₀t) u(t)

(d) h₄ (t) = e^-tu (t) – e^{-(t – 1)} u (t - 1)

(e) h₅ (t) = t^-2u (t - 1)

(f) h₆ (t) = sinc(2t)

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

Question Posted: Sep 13, 2018 06:32 AM

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Determine whether or not the filters with impulse responses given below are BIBO stable. and f

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