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Convention Paper

Audio Signal Modelling Using Bayesian Atomic Decompositions

Authors: Wolfe, Patrick J.; Godsill, Simon J.; Ng, Wee Jing; Doerfler, Monika

AES Convention 112 · Paper 5624 · April 2002

Abstract

We present an investigation into signal processing models appropriate for audio, and especially high quality musical signals, by means of Bayesian atomic decompositions. At present, many models rely on short-term stationarity of the audio, or highly limiting forms of non-stationarity. Moreover, they are well-suited only to low-level inference tasks. We seek to formulate a new generation of audio models that will address the main limitations of the existing ones and permit high-level inference. As we show, such models result from the marriage of an overcomplete dictionary of time-frequency atoms with structured hierarchical prior probability distributions developed specifically for audio signals, in order to model coefficient correlation in time and frequency.

Details

Published in
AES Convention 112
AES Convention
112
Paper number
5624
Publication date
April 6, 2002
Session subject
Recording, Restoration, and Processing
Affiliation
Department of Engineering, University of Cambridge,Cambridge, UK ; Institute for Mathematics, University of Vienna, Strudlhofgasse, Vienna, Austria (See document for exact affiliation information.)
Type
Convention Paper