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Recursive Filter Impulse Response

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A recursive filter has the difference equation

y[n]=-0.8y[n-1]+0.1y[n-2]+x[n]

a. Find the impulse response for the filter?
b. How many nonzero terms does the impulse response contain?

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Solution Summary

The solution finds the impulse response for the filter. The amount of nonzero terms that the impulse response contains is given.

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