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Exploiting structure in wavelet-based bayesian compressive sensing

Publication ,  Journal Article
He, L; Carin, L
Published in: IEEE Transactions on Signal Processing
September 3, 2009

Bayesian compressive sensing (CS) is considered for signals and images that are sparse in a wavelet basis. The statistical structure of the wavelet coefficients is exploited explicitly in the proposed model, and, therefore, this framework goes beyond simply assuming that the data are compressible in a wavelet basis. The structure exploited within the wavelet coefficients is consistent with that used in wavelet-based compression algorithms. A hierarchical Bayesian model is constituted, with efficient inference via Markov chain Monte Carlo (MCMC) sampling. The algorithm is fully developed and demonstrated using several natural images, with performance comparisons to many state-of-the-art compressive-sensing inversion algorithms. © 2009 IEEE.

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Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

September 3, 2009

Volume

57

Issue

9

Start / End Page

3488 / 3497

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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He, L., & Carin, L. (2009). Exploiting structure in wavelet-based bayesian compressive sensing. IEEE Transactions on Signal Processing, 57(9), 3488–3497. https://doi.org/10.1109/TSP.2009.2022003
He, L., and L. Carin. “Exploiting structure in wavelet-based bayesian compressive sensing.” IEEE Transactions on Signal Processing 57, no. 9 (September 3, 2009): 3488–97. https://doi.org/10.1109/TSP.2009.2022003.
He L, Carin L. Exploiting structure in wavelet-based bayesian compressive sensing. IEEE Transactions on Signal Processing. 2009 Sep 3;57(9):3488–97.
He, L., and L. Carin. “Exploiting structure in wavelet-based bayesian compressive sensing.” IEEE Transactions on Signal Processing, vol. 57, no. 9, Sept. 2009, pp. 3488–97. Scopus, doi:10.1109/TSP.2009.2022003.
He L, Carin L. Exploiting structure in wavelet-based bayesian compressive sensing. IEEE Transactions on Signal Processing. 2009 Sep 3;57(9):3488–3497.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

September 3, 2009

Volume

57

Issue

9

Start / End Page

3488 / 3497

Related Subject Headings

  • Networking & Telecommunications