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Which of the following filter we use in least square design methods?

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Which of the following filter we use in least square design methods?

(a) All zero

(b) All pole

(c) Pole-zero

(d) Any of the mentioned

The question was posed to me in an interview for job.

This is a very interesting question from Least Squares Design Methods in portion Digital Filters Design of Digital Signal Processing

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Correct option is (b) All pole

The best I can explain: Let us assume that hd(n) is specified for n > 0, and the digital filter is an all-pole filter.

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