Realizing homomorphic systems for convolution by time domain cepstral transformations

A description is given of the time domain cepstral transformations (TDCT) method, which uses a time domain approach to calculate the cepstral signal representation. It offers explicit formulas to map a general mixed phase time sequence from original time into the cepstral domain and vice versa. The TDCT method avoids or minimizes the restrictions of the Fourier transform method. Explicit and unique time domain cepstral transformations are derived. No specific preconditioning window is required to obtain accurate complex cepstra. The results obtained demonstrate that homomorphic deconvolution by the TDCT method is a promising general approach