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We have a simple audio system, consisting of a microphone (which samples an audio signal, resulting in a discrete-time signal
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xn) to yn) Positive feedback y (n) = A[ a[n) + y(n-1)) Taking z-transform Y(z)= ax(z) + A Zy(2) Y() (1-A71) = A.X() HCZ) = 4Y(z)- A X(2) 1-AZ H(Z) = A I- AZ ( a un Try 1 ) Taking Inverse 2-Transform. h(n) = A. (A) ? un) T-az I+D h(n)= A U(n).kindly see the above images for the solution.

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