The impulse response satisfies the difference equation with zero boundary conditions. By definition (a) Use the difference

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The impulse response

hm, п] 3 т +n т


satisfies the difference equation

h[m, n] = h[m – 1, n] + [m,n – 1] + ő[m, n]


with zero boundary conditions. By definition

(a) Use the difference equation to show that


(b) Show that for m ≥ 0; n > 0


determine the values of h[m; 0] form ≥ 0, and use these equations to compute the impulse response h[m; n]. Plot the resulting h[m; n]. Is the system with this impulse response BIBO stable? Explain.

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Related Book For  answer-question

Signals and Systems using MATLAB

ISBN: 978-0128142042

3rd edition

Authors: Luis Chaparro, Aydin Akan

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