Asymptotically exact computation of differential cepstrum using FFT approach

A new concept of the differential cepstrum calculation is presented which uses the FFT with interpolation in the frequency domain. The algorithm assures asymptotically exact values, without cepstral aliasing. It completely separates the causal and the anticausal part of the cepstrum and it does not suffer from 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 buffer is required