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Random Filters for Compressive Sampling and Reconstruction

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dc.contributor.author Baraniuk, Richard G.
Wakin, Michael
Duarte, Marco F.
Tropp, Joel A.
Baron, Dror
dc.creator Baron, Dror
Baraniuk, Richard G.
Duarte, Marco
Wakin, Michael
Tropp, Joel A.
dc.date.accessioned 2007-10-31T01:07:23Z
dc.date.available 2007-10-31T01:07:23Z
dc.date.issued 2006-05-01
dc.date.submitted 2006-05-01
dc.identifier.uri http://hdl.handle.net/1911/20399
dc.description Conference Paper
dc.description.abstract We propose and study a new technique for efficiently acquiring and reconstructing signals based on convolution with a fixed FIR filter having random taps. The method is designed for sparse and compressible signals, i.e., ones that are well approximated by a short linear combination of vectors from an orthonormal basis. Signal reconstruction involves a non-linear Orthogonal Matching Pursuit algorithm that we implement efficiently by exploiting the nonadaptive, time-invariant structure of the measurement process. While simpler and more efficient than other random acquisition techniques like Compressed Sensing, random filtering is sufficiently generic to summarize many types of compressible signals and generalizes to streaming and continuous-time signals. Extensive numerical experiments demonstrate its efficacy for acquiring and reconstructing signals sparse in the time, frequency, and wavelet domains, as well as piecewise smooth signals and Poisson processes.
dc.description.sponsorship National Science Foundation
dc.description.sponsorship National Science Foundation
dc.description.sponsorship Air Force Office of Scientific Research
dc.description.sponsorship Office of Naval Research
dc.subject Orthogonal Matching Pursuit algorithm
dc.subject.other DSP for Communications
dc.title Random Filters for Compressive Sampling and Reconstruction
dc.type Conference Paper
dc.date.note 2006-07-24
dc.citation.bibtexName inproceedings
dc.date.modified 2006-07-24
dc.contributor.center Digital Signal Processing (http://dsp.rice.edu/)
dc.subject.keyword Orthogonal Matching Pursuit algorithm
dc.citation.volumeNumber 3
dc.citation.pageNumber III-872 - III-875
dc.citation.location Toulouse, France
dc.citation.conferenceName IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
dc.identifier.citation R. G. Baraniuk, M. Wakin, M. F. Duarte, J. A. Tropp and D. Baron,"Random Filters for Compressive Sampling and Reconstruction," in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),, pp. III-872 - III-875.
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    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [512 items]
    Publications by Rice Faculty and graduate students in digital signal processing.