Detection of signal discontinuities from noisy fourier data

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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
Pages1705-1708
Number of pages4
DOIs
StatePublished - Dec 1 2008
Event2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 - Pacific Grove, CA, United States
Duration: Oct 26 2008Oct 29 2008

Publication series

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

Other

Other2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
CountryUnited States
CityPacific Grove, CA
Period10/26/0810/29/08

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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    Viswanathan, A., Cochran, D., Gelb, A., & Cates, D. M. (2008). Detection of signal discontinuities from noisy fourier data. In 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 (pp. 1705-1708). [5074716] (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2008.5074716