DocumentCode :
454998
Title :
Sparse Regression with Structured Priors: Application to Audio Denoising
Author :
Févotte, Cédric ; Daudet, Laurent ; Godsill, Simon J. ; Torrésani, Bruno
Author_Institution :
Dept. of Eng., Cambridge Univ.
Volume :
3
fYear :
2006
fDate :
14-19 May 2006
Abstract :
We describe in this paper a fully Bayesian approach for sparse audio signal regression in an union of two bases, with application to audio denoising. One basis aims at modeling tonal parts and the other at modeling transients. The noisy signal is decomposed as a linear combination of atoms from the two basis, plus a residual part containing the noise. Conditionally upon an indicator variable which is either 0 or 1, one source coefficient is set to zero or given a hierarchical prior. Various priors can be considered for the indicator variables. In addition to non-structured Bernoulli priors we study the performance of structured priors which favor horizontal time-frequency structures for tonals and vertical structures for transients. A Gibbs sampler is used to sample from the parameters of the model. We present results over denoising of a piano sequence using a MDCT basis with long time resolution to model the tonals and a MDCT with short time resolution to model the transients
Keywords :
Bayes methods; audio signal processing; discrete cosine transforms; regression analysis; signal denoising; signal sampling; time-frequency analysis; Bayesian approach; Gibbs sampler; MDCT basis; audio denoising; horizontal time-frequency structures; noisy signal decomposition; nonstructured Bernoulli priors; piano sequence denoising; source coefficient; sparse audio signal regression; structured priors; tonal parts modeling; transients modeling; Bayesian methods; Blind source separation; Dictionaries; Energy resolution; Noise reduction; Signal analysis; Signal denoising; Signal processing; Signal resolution; Time frequency analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
ISSN :
1520-6149
Print_ISBN :
1-4244-0469-X
Type :
conf
DOI :
10.1109/ICASSP.2006.1660589
Filename :
1660589
Link To Document :
بازگشت