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Recursive Filter Impulse Response

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?

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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