Consider a sequence x[n] with Fourier transform X(ejω) and complex cepstrum A new signa...

Consider a sequence x[n] with Fourier transform X(e^jω) and complex cepstrum A new signal y[n] is obtained by homomorphic filtering where

(a) Show that y[n] is a minimum-phase sequence.

(b) What is the phase of Y(e^jω)?

(c) Obtain a relationship between arg[Y(e^jω)] and log |Y(e^jω)|.

(d) If x[n] is minimum phase, how is y[n] related to x[n]?