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
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

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Derivatives

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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

Bayesian multiresolution map estimation of edge or transition point location in noisy signals. / Serinaijaoglu, Yegim; Brooks, Dana H.; Lin, Shien Fong; Wu, T. J.

Signal Processing Theory and Methods I. Institute of Electrical and Electronics Engineers Inc., 2000. p. 628-631 862060 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 1).

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

Serinaijaoglu, Y, Brooks, DH, Lin, SF & Wu, TJ 2000, Bayesian multiresolution map estimation of edge or transition point location in noisy signals. in Signal Processing Theory and Methods I., 862060, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 628-631, 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000, Istanbul, Turkey, 6/5/00. https://doi.org/10.1109/ICASSP.2000.862060
Serinaijaoglu Y, Brooks DH, Lin SF, Wu TJ. Bayesian multiresolution map estimation of edge or transition point location in noisy signals. In Signal Processing Theory and Methods I. Institute of Electrical and Electronics Engineers Inc. 2000. p. 628-631. 862060. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2000.862060
Serinaijaoglu, Yegim ; Brooks, Dana H. ; Lin, Shien Fong ; Wu, T. J. / Bayesian multiresolution map estimation of edge or transition point location in noisy signals. Signal Processing Theory and Methods I. Institute of Electrical and Electronics Engineers Inc., 2000. pp. 628-631 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).
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