A hybrid scheme for encoding audio signal using hidden Markov models of waveforms

Stéphane Molla (1) , Bruno Torrésani (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

This paper reports on recent results related to audiophonic signals encoding using time-scale and time–frequency transform. More precisely, nonlinear, structured approximations for tonal and transient components using local cosine and wavelet bases will be described, yielding expansions of audio signals in the form tonal + transient + residual. We describe a general formulation involving hidden Markov models, together with corresponding rate estimates. Estimators for the balance transient/tonal are also discussed.

Mots clés: Audio signal; Coding; Wavelet basis; Local cosine basis; Markov chain

Domaines: Probabilités [math.PR]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Stéphane Molla, Bruno Torrésani. A hybrid scheme for encoding audio signal using hidden Markov models of waveforms. Applied and Computational Harmonic Analysis, 2005, 18 (2), pp.137-166. ⟨10.1016/j.acha.2004.11.001⟩. ⟨hal-00350467⟩