Section 13.9.4 contains an example of how the complex cepstrum can be used to obtain two...

Section 13.9.4 contains an example of how the complex cepstrum can be used to obtain two different decompositions involving convolution of a minimum-phase sequence with another sequence. In that example,

(a) In one decomposition, X(z) = X_min(z)X_ap(z) where

and

Use the power series expansion of the logarithmic terms to find the complex cepstra . Plot these sequences and compare your plots with those in

Figure 13.19.

(b) In the second decomposition, X(z) = X_mn(z)X_mx(z) where

Use the power series expansion of the logarithmic terms to find the complex cepstra and show that is the same as in

part (a). Note that