Sparse Signal Detection from Incoherent Projections

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dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)en_US
dc.citation.firstpageIII-305
dc.citation.lastpageIII-308
dc.citation.locationToulouse, Franceen_US
dc.citation.volumeNumber3en_US
dc.contributor.authorDavenport, Mark A.en_US
dc.contributor.authorWakin, Michael B.en_US
dc.contributor.authorDuarte, Marco F.en_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:43:11Z
dc.date.available2007-10-31T00:43:11Z
dc.date.issued2006-05-01en
dc.date.modified2006-07-24en_US
dc.date.note2006-07-24en_US
dc.date.submitted2006-05-01en_US
dc.descriptionConference Paperen_US
dc.description.abstractThe recently introduced theory of Compressed Sensing (CS) enables the reconstruction or approximation of sparse or compressible signals from a small set of incoherent projections; often the number of projections can be much smaller than the number of Nyquist rate samples. In this paper, we show that the CS framework is information scalable to a wide range of statistical inference tasks. In particular, we demonstrate how CS principles can solve signal detection problems given incoherent measurements without ever reconstructing the signals involved. We specifically study the case of signal dection in strong inference and noise and propose an Incoherent Detection and Estimation Algorithm (IDEA) based on Matching Pursuit. The number of measurements and computations necessary for successful detection using IDEA is significantly lower than that necessary for successful reconstruction. Simulations show that IDEA is very resilient to strong interference, additive noise, and measurement quantization. When combined with random measurements, IDEA is applicable to a wide range of different signal classes.en_US
dc.description.sponsorshipNational Science Foundationen_US
dc.description.sponsorshipAir Force Office of Scientific Researchen_US
dc.description.sponsorshipOffice of Naval Researchen_US
dc.identifier.citationM. A. Davenport, M. B. Wakin, M. F. Duarte and R. G. Baraniuk, "Sparse Signal Detection from Incoherent Projections," vol. 3, 2006.
dc.identifier.doihttp://dx.doi.org/10.1109/ICASSP.2006.1660651en_US
dc.identifier.urihttps://hdl.handle.net/1911/19867
dc.language.isoeng
dc.subjectCS principles*
dc.subject.keywordCS principlesen_US
dc.subject.otherDSP for Communicationsen_US
dc.titleSparse Signal Detection from Incoherent Projectionsen_US
dc.typeConference paper
dc.type.dcmiText
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