Analysis of the edge-effects in frequency-domain TDOA estimation

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Passive estimation of the Time-Difference of Arrival (TDOA) of a common signal at two (or more) sensors is a fundamental problem in signal processing, with applications mainly in emitter localization. A common approach to TDOA estimation is the maximization of the sample cross-correlation between the received signals. For various reasons, this correlation is sometimes computed via the frequency-domain, following a Discrete Fourier Transform (DFT) of the signals - in which case the linear correlation is essentially replaced with a cyclic correlation. Although the two computations differ merely by some relatively short "edge-effects", these edge-effects can entail more impact than commonly predicted by their relative (usually negligible) effective durations. In this work we analyze the mean square TDOA estimation error resulting from the use of cyclic instead of linear correlations, showing that for some signals the loss can be more severe than what would be predicted by a simple linear dependence on the delay value.

Original languageEnglish
Title of host publication2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
Pages3521-3524
Number of pages4
DOIs
StatePublished - 2012
Event2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Kyoto, Japan
Duration: 25 Mar 201230 Mar 2012

Publication series

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

Conference

Conference2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
Country/TerritoryJapan
CityKyoto
Period25/03/1230/03/12

Keywords

  • Cyclic Correlation
  • Edge-Effects
  • End-Effects
  • TDOA
  • TOA
  • Time-Delay Estimation

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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