Let x[n] be a finite-length minimum-phase sequence with complex cepstrum , and define y[...

Let x[n] be a finite-length minimum-phase sequence with complex cepstrum , and define y[n] as y[n] = αⁿx[n]

with complex cepstrum

(a) If 0 < α < 1, how is related to ?

(b) How should α be chosen so that y[n] is no longer minimum phase?

(c) How should α be chosen so that if linear-phase terms are removed before computing the complex cepstrum, then = 0 for n > 0?