Signal delay and waveform estimation through differential cepstrum averaging

The differential cepstrum (DC) was introduced as a new tool for homomorphic deconvolution, a method which possesses the shift invariant property. The delay in the time samples will effect only the second sample of the DC. This property of the DC is used for estimating the signal delay and the waveform, in the presence of signal jitter and noise. Simulation results are presented to demonstrate the applicability of this technique for processing the signals embedded in white Gaussian noise. Better noise suppression has been observed through DC averaging as compared to group delay averaging or unwrapped phase averaging methods.