Equation (13.65) represents a recursive relationship between a sequence x[n] and its com...

Equation (13.65) represents a recursive relationship between a sequence x[n] and its complex cepstrum . Show from Eq. (13.65) that the characteristic system D_∗[·] behaves as a causal system for minimum-phase inputs; i.e., show that for minimum-phase inputs, is dependent only on x[k] for k ≤ n.