Second, the suitability of the stable distribution, for modelling audio signals, is discussed. For a broad class of audio signals, the distribution and the stationarity property are examinated. It is empirically shown that the class of stable distributions provides a better model for audio signals, than the Gaussian distribution model.
Third, for demonstrating the applicability of stable distributions in audio processing, a classical problem from statistical signal processing, stochastic gradient adaptive filtering, is considered.
Appears in Proc. of SIMS2000, Technical University of Denmark, Denmark, Sept. 18-19, 2000.