An LTI system represented by the difference equation y[n] = y[n 1] + x[n], n ¥ 0,

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An LTI system represented by the difference equation y[n] = ˆ’ y[n ˆ’ 1] + x[n], n ‰¥ 0, is initially at rest. The input of the system is x[n] and the output y[n].

(a) Using the difference equation find the system response y[n] for n ‰¥ 0 when the input is

0, 1, 2 п %3 x[n] otherwise

Find y[n] for n = ˆ’1, 0, 1 €¦ ,10

(b) Using the above result and the linearity and time-invariance of the system find the output y₁[n] corresponding to a new input

n = 0, 1, 2, 3, 4, 5 x[n] = otherwise

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 11:34 AM

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An LTI system represented by the difference equation y[n] = y[n 1] + x[n], n ¥ 0,

Question:

0, 1, 2 п %3 x[n] otherwise n = 0, 1, 2, 3, 4, 5 x[n] = otherwise

Step by Step Answer:

a According to the difference equation the output is y0 y 1 x0 ...View the full answer

Signals and Systems using MATLAB

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