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Determining the Impulse Response for a Difference Equation, $$ y[n]-\frac{1}{2} y[n-1]=x[n]-\frac{1}{4} x[n-1] $$
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written 17 months ago by
prajapatijaimin
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Solution:
In this example, we determine the impulse response for a stable linear time-invariant system for which the input $x[n]$ and output $y[n]$ satisfy the linear constant-coefficient difference equation,
$$ y[n]-\frac{1}{2} y[n-1]=x[n]-\frac{1}{4} x[n-1] $$
However, this example offers a hint of the utility of transform methods in the analysis of …
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