Bayesian multiresolution map estimation of edge or transition point location in noisy signals

Yegim Serinaijaoglu, Dana H. Brooks, Shien Fong Lin, T. J. Wu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a Bayesian scheme for estimation of the location of an extremum of the first or second derivative of a noisy signal in a given interval using a scale-recursive multiresolution approach, as a means to locate edges or transition points. The estimation is carried out on the wavelet coefficients using a coarse-To-fine cross-scale search. A prior is specified for the location of the extremum at a given scale based on a location estimate at a coarser scale and a likelihood function is specified based on a rank-ordered version of the wavelet coefficients, leading to a MAP estimate at the given scale. This then becomes the location parameter for the prior at the next finer scale in a scale-recursive MAP estimation scheme. We include examples using both synthetic signals and optically measured cardiac electrical signals.

Original languageEnglish (US)
Title of host publicationSignal Processing Theory and Methods I
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages628-631
Number of pages4
ISBN (Electronic)0780362934
DOIs
StatePublished - Jan 1 2000
Externally publishedYes
Event25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey
Duration: Jun 5 2000Jun 9 2000

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume1
ISSN (Print)1520-6149

Conference

Conference25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
CountryTurkey
CityIstanbul
Period6/5/006/9/00

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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  • Cite this

    Serinaijaoglu, Y., Brooks, D. H., Lin, S. F., & Wu, T. J. (2000). Bayesian multiresolution map estimation of edge or transition point location in noisy signals. In Signal Processing Theory and Methods I (pp. 628-631). [862060] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.862060