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

Yesim Serinagaoglu, 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 publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
PublisherIEEE
Pages628-631
Number of pages4
Volume1
StatePublished - 2000
Externally publishedYes
Event2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Istanbul, Turkey
Duration: Jun 5 2000Jun 9 2000

Other

Other2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing
CityIstanbul, Turkey
Period6/5/006/9/00

Fingerprint

transition points
range (extremes)
Derivatives
coefficients
estimates
intervals

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

Serinagaoglu, 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 ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 1, pp. 628-631). IEEE.

Bayesian multiresolution MAP estimation of edge or transition point location in noisy signals. / Serinagaoglu, Yesim; Brooks, Dana H.; Lin, Shien-Fong; Wu, T. J.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1 IEEE, 2000. p. 628-631.

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

Serinagaoglu, Y, Brooks, DH, Lin, S-F & Wu, TJ 2000, Bayesian multiresolution MAP estimation of edge or transition point location in noisy signals. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 1, IEEE, pp. 628-631, 2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing, Istanbul, Turkey, 6/5/00.
Serinagaoglu Y, Brooks DH, Lin S-F, Wu TJ. Bayesian multiresolution MAP estimation of edge or transition point location in noisy signals. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1. IEEE. 2000. p. 628-631
Serinagaoglu, Yesim ; Brooks, Dana H. ; Lin, Shien-Fong ; Wu, T. J. / Bayesian multiresolution MAP estimation of edge or transition point location in noisy signals. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1 IEEE, 2000. pp. 628-631
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