Asymptotically Exact Computation of Diierential Cepstrum Using the Fft Approach

In this paper, we present a new concept of the diierential cepstrum calculation using the FFT with interpolation in the frequency domain. The algorithm assures asymptotically exact values, without cepstral alias-ing. It completely separates the causal and the anticausal part of the cepstrum and it does not suuer from the signal singularities, i.e. zeros on the unit circle in the z-plane. The algorithm's computational complexity is at least four times lower than for any other cepstral aliasing reduction method, while no extended memory signal buuer is required.