Equations (13.65) and (13.68) are recursive relationships that can be used to compute th...

Equations (13.65) and (13.68) are recursive relationships that can be used to compute the complex cepstrum when the input sequence x[n] is minimum phase and maximum phase, respectively.

(a) Use Eq. (13.65) to compute recursively the complex cepstrum of the sequence

x[n] = aⁿu[n], where |a| < 1.

(b) Use Eq. (13.68) to compute recursively the complex cepstrum of the sequence

x[n] = δ[n] − aδ[n + 1], where |a| < 1.