Title :
Sequential Bayesian wavelet denoising
Author :
Coates, Mark J. ; Doucet, Amaud
Author_Institution :
Signal Process. Group, Cambridge Univ., UK
Abstract :
We propose a wavelet model that incorporates coefficient correlation and is expressed in state-space form, allowing the development and application of sequential estimation algorithms for wavelet denoising. We detail a sequential simulation-based estimation algorithm based on particle filters. This algorithm allows Bayesian wavelet denoising to be performed on-line, enabling it to process a vast dataset, and it is intrinsically parallelizable. The experiments indicate that the algorithm performance is comparable to the majority of Bayesian framework batch-based algorithms
Keywords :
Bayes methods; correlation methods; discrete wavelet transforms; filtering theory; importance sampling; sequential estimation; signal processing; state-space methods; time-frequency analysis; Bayesian wavelet denoising; coefficient correlation; particle filters; sequential estimation algorithms; sequential simulation-based estimation algorithm; state-space form; wavelet model; Australia; Bayesian methods; Discrete wavelet transforms; Noise reduction; Proposals; Signal processing; Signal processing algorithms; State estimation; Wavelet coefficients; Wavelet domain;
Conference_Titel :
Signal Processing and Its Applications, 1999. ISSPA '99. Proceedings of the Fifth International Symposium on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
1-86435-451-8
DOI :
10.1109/ISSPA.1999.815743