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What should be the desired response for an optimum wiener filter to be an approximate inverse filter?

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What should be the desired response for an optimum wiener filter to be an approximate inverse filter?

(a) u(n)

(b) δ(n)

(c) u(-n)

(d) none of the mentioned

This question was posed to me in an internship interview.

I need to ask this question from FIR Least Squares Inverse Filters topic in division Digital Filters Design of Digital Signal Processing

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Best answer
Right option is (b) δ(n)

Explanation: If the optimum least squares FIR filter is to be an approximate inverse filter, the desired response is

d(n)=δ(n).

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