Abstract
In this paper, we consider the problem of finding sparse representations of audio signals for coding purposes. In doing so, it is of utmost importance that when only a subset of the present components of an audio signal are extracted, it is the perceptually most important ones. To this end, we propose a new iterative algorithm based on two principles: 1) a reweighted l1-norm based measure of sparsity; and 2) a reweighted l2-norm based measure of perceptual distortion. Using these measures, the considered problem is posed as a constrained convex optimization problem that can be solved optimally using standard software. A prominent feature of the new method is that it solves a problem that is closely related to the objective of coding, namely rate-distortion optimization. In computer simulations, we demonstrate the properties of the algorithm and its application to real audio signals.
Originalsprog | Engelsk |
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Tidsskrift | Asilomar Conference on Signals, Systems and Computers. Conference Record |
Sider (fra-til) | 575-579 |
Antal sider | 5 |
ISSN | 1058-6393 |
DOI | |
Status | Udgivet - 2011 |
Begivenhed | Asilomar Conference on Signals, Systems and computers, Nov. 6-9, 2011 - Pacific Grove, USA Varighed: 6 nov. 2011 → 9 nov. 2011 |
Seminar
Seminar | Asilomar Conference on Signals, Systems and computers, Nov. 6-9, 2011 |
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Land/Område | USA |
By | Pacific Grove |
Periode | 06/11/2011 → 09/11/2011 |