MATLAB m-file. Use Pade and Pronys method to approximate a signal.

A. Make a unit variant zero-mean white noise w(n) signal for n=1:100

B. Design a filter with 3 zeros and 3 poles to filter white noise w(n) to obtain x(n) an ARMA(3,3) signal. With zeros: 3, 6, 7 and poles: 1/2, 1/5, and 1/9.

C. Use/apply Pade's method to approximate x[n] using a ARMA(10,10) model.

[ex: Find H(z)=B(z)/A(z) so that h[n] approximates x[n], where B(z) and A(z) have order 10]

D. Apply Prony's method to approximate x[n] using ARMA(10,10) model

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