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Need help in Digital Signal Processing Problems

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mushahid980

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Problem # 1 .

Consider a discrete-time system whose input x[n] and output is y[n] are related by

y[n]-1/2(y[n-1]) = x[n]

with y[-1] = 0

find output for the following inputs:

a. x[n] = (1/3)^n u[n]
b. x[n] = (1/2)^n u[n]
 

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