Consider the difference equation y[n] + 1/15 y[n 1] 2/5 y[n 2] = x[n].

Question:

Consider the difference equation

y[n] + 1/15 y[n – 1] – 2/5 y[n – 2] = x[n].

(a) Determine the general form of the homogeneous solution to this equation.

(b) Both a causal and an anti causal LTI system are characterized by the given difference equation. Find the impulse responses of the two systems.

(d) Find a particular solution to the difference equation when x[n] = (3/5)nu[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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Consider the difference equation y[n] + 1/15 y[n 1] 2/5 y[n 2] = x[n].

Question:

Step by Step Answer:

a The homogeneous solution y n n solves the difference equation when xn 0 It is in the form y n n A...View the full answer

Discrete Time Signal Processing

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