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dc.contributor.authorCrouse, Matthew
Nowak, Robert David
Baraniuk, Richard G.
dc.creatorCrouse, Matthew
Nowak, Robert David
Baraniuk, Richard G. 2007-10-31T00:40:48Z 2007-10-31T00:40:48Z 1998-04-01 2001-08-25
dc.identifier.citation M. Crouse, R. D. Nowak and R. G. Baraniuk, "Wavelet -Based Statistical Signal Processing using Hidden Markov Models," IEEE Transactions on Signal Processing, vol. 46, no. 4, 1998.
dc.description Journal Paper
dc.description.abstract Wavelet-based statistical signal processing techniques such as denoising and detection typically model the wavelet coefficients as independent or jointly Gaussian. These models are unrealistic for many real-world signals. In this paper, we develop a new framework for statistical signal processing based on wavelet-domain hidden Markov models (HMMs). The framework enables us to concisely model the statistical dependencies and non-Gaussian Statistics encountered with real-world signals. Wavelet-domain HMMs are designed with the intrinsic properties of the wavelet transform in mind and provide powerful yet tractable probabilistic signal modes. Efficient Expectation Maximization algorithms are developed for fitting the HMMs to observational signal data. The new framework is suitable for a wide range of applications, including signal estimation, detection, classification, prediction, and even synthesis. To demonstrate the utility of wavelet-domain HMMs, we develop novel algorithms for signal denoising, classificaion, and detection.
dc.description.sponsorship Office of Naval Research
dc.description.sponsorship National Science Foundation
dc.description.sponsorship National Science Foundation
dc.language.iso eng
dc.subjecthidden Markov models (HMMs)
Expectation Maximization (EM)
dc.title Wavelet -Based Statistical Signal Processing using Hidden Markov Models
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle IEEE Transactions on Signal Processing 2006-06-21
dc.contributor.orgCenter for Multimedia Communications (
dc.contributor.orgDigital Signal Processing (
dc.subject.keywordhidden Markov models (HMMs)
Expectation Maximization (EM)
dc.citation.volumeNumber 46
dc.citation.issueNumber 4
dc.type.dcmi Text
dc.type.dcmi Text
dc.citation.firstpage 886
dc.citation.lastpage 902

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