A linear time invariant system has impulse response h n n u n (a) Determine y 1 n , the response of the system to the input x 1 n e j( 2)n (b) Use the result of Part(a) to help to determine y 2 n , the response of the system to the input x 2 n cos( n 2) (c) Determine y 3 n , the response of the sys...

A linear time-invariant system has impulse response h[n] = n u[n]. (a) Determine y 1 [n],

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A linear time-invariant system has impulse response h[n] = αⁿu[n].

(a) Determine y₁[n], the response of the system to the input x₁[n] = e^j(π/2)n.

(b) Use the result of Part(a) to help to determine y₂[n], the response of the system to the input x₂[n] = cos(π n /2).

(d) Compare y₃[n] with y₁[n] for large n.

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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 02:55 AM

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A linear time-invariant system has impulse response h[n] = n u[n]. (a) Determine y 1 [n],

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Discrete Time Signal Processing

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