Question: Prove the validity of the following two statements: (a) The convolution of two minimum-phase sequences is also a minimum-phase sequence. (b) The sum of two

Prove the validity of the following two statements:

(a) The convolution of two minimum-phase sequences is also a minimum-phase sequence.

(b) The sum of two minimum-phase sequences is not necessarily a minimum-phase sequence. Specifically, give an example of both a minimum-phase and a non minimum-phase sequence that can be formed as the sum of two minimum-phase sequences.

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