Detection of signal discontinuities from noisy fourier data

Adityavikram Viswanathan; Douglas Cochran; Anne Gelb; Dennis M. Cates

doi:10.1109/ACSSC.2008.5074716

Detection of signal discontinuities from noisy fourier data

Adityavikram Viswanathan, Douglas Cochran, Anne Gelb, Dennis M. Cates

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

5 Scopus citations

Abstract

The concentration method for identifying the locations, magnitudes, and signs of jump discontinuities in analog signals from truncated Fourier series is well established in mathematical literature. Its performance in the presence of noise on the Fourier data has only recently started to receive attention, however. This paper examines the performance of the concentration method in the presence of noise from a detection-theoretic point of view. In particular, receiver operating characteristics for the elemental problem of detecting a unit step discontinuity are developed for this method. Additionally, the problem of optimally combining data obtained from multiple concentration factors is addressed.

Original language	English (US)
Title of host publication	2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
Pages	1705-1708
Number of pages	4
DOIs	https://doi.org/10.1109/ACSSC.2008.5074716
State	Published - Dec 1 2008
Event	2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 - Pacific Grove, CA, United States Duration: Oct 26 2008 → Oct 29 2008

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)	1058-6393

Other

Other	2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
Country/Territory	United States
City	Pacific Grove, CA
Period	10/26/08 → 10/29/08

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

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10.1109/ACSSC.2008.5074716

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Detection of signal discontinuities from noisy fourier data. / Viswanathan, Adityavikram; Cochran, Douglas; Gelb, Anne; Cates, Dennis M.

2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008. 2008. p. 1705-1708 5074716 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

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

Viswanathan, A, Cochran, D, Gelb, A & Cates, DM 2008, Detection of signal discontinuities from noisy fourier data. in 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008., 5074716, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 1705-1708, 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008, Pacific Grove, CA, United States, 10/26/08. https://doi.org/10.1109/ACSSC.2008.5074716

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AB - The concentration method for identifying the locations, magnitudes, and signs of jump discontinuities in analog signals from truncated Fourier series is well established in mathematical literature. Its performance in the presence of noise on the Fourier data has only recently started to receive attention, however. This paper examines the performance of the concentration method in the presence of noise from a detection-theoretic point of view. In particular, receiver operating characteristics for the elemental problem of detecting a unit step discontinuity are developed for this method. Additionally, the problem of optimally combining data obtained from multiple concentration factors is addressed.

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Detection of signal discontinuities from noisy fourier data

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