Spectral analysis using generalized cepstrum

In this paper, we present a generalization of the cepstral method from the viewpoint of spectral smoothing for speech. We use a natural generalization of the logarithmic function instead of the logarithmic function itself and we refer to the spectral representation parameter on the "generalized logarithmic" scale as the "generalized cepstrum," which corresponds to the cepstrum on the logarithmic scale. A number of properties of the generalized cepstrum are shown, and are compared to the cepstrum.