Compute the unit-pulse response h[n] for the discrete-time system y[n+2]+2y[n+1]+y[n]=x[n] (for n = 0, 1, 2, 3).

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y[n+2]+2y[n+1]+y[n]=x[n]

=> y[n+2] = - 2 y[n+1] - y[n] + x[n]

Unit-pulse response:

h[n+2] = - 2 ...

Solution Summary

For a given discrete-time system, this solution provides a detailed, step-wise response which estimates the unit pulse response. All work which is required is shown.

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