### 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 language | English (US) |
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Title of host publication | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

Publisher | IEEE |

Pages | 628-631 |

Number of pages | 4 |

Volume | 1 |

State | Published - 2000 |

Externally published | Yes |

Event | 2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Istanbul, Turkey Duration: Jun 5 2000 → Jun 9 2000 |

### Other

Other | 2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing |
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City | Istanbul, Turkey |

Period | 6/5/00 → 6/9/00 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - Bayesian multiresolution MAP estimation of edge or transition point location in noisy signals

AU - Serinagaoglu, Yesim

AU - Brooks, Dana H.

AU - Lin, Shien-Fong

AU - Wu, T. J.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033693392&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033693392&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033693392

VL - 1

SP - 628

EP - 631

BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

PB - IEEE

ER -