Question: The desired impulse response for a filter is given by (g(n)=1 / 2^{n}). Design a recursive filter such that its impulse response (h(n)) equals (g(n))

The desired impulse response for a filter is given by \(g(n)=1 / 2^{n}\). Design a recursive filter such that its impulse response \(h(n)\) equals \(g(n)\) for \(n=0,1, \ldots, 5\).

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