Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined

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Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined by the following two properties:

1. y[n] – ay[n – 1] = x[n],

2. y[0] = 1.

(a) Determine whether the system is time invariant.

(b) Determine whether the system is linear.

(c) Assume that the difference equation (property 1) remains the same, but the vale y[0] is specified to be zero. Does this change your answer to either Part (a) or part (b)?

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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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Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined

Question:

Step by Step Answer:

a Even though x 2 n x 1 n 1 y 2 n y 2 n 1 Hence the system is NOT TIME INVARIANT ...View the full answer

Discrete Time Signal Processing

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