TDOA estimation for cyclostationary sources: New correlations-based bounds and estimators

Moshe Teplitsky, Arie Yeredor

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

Abstract

We consider the problem of Time Difference of Arrival (TDOA) estimation for cyclostationary signals in additive white Gaussian noise. Classical approaches to the problem either ignore the cyclostationarity and use ordinary crosscorrelations, or exploit the cyclostationarity by using cyclic cross-correlations, or combine these approaches into a multicycle approach. Despite contradicting claims in the literature regarding the performance-ranking of these approaches, there has been almost no analytical comparative performance study. We propose to regard the estimated (ordinary or cyclic) correlations as the "front-end" data, and based on their asymptotically Gaussian distribution, to compute the asymptotic Cramér-Rao bounds (CRB) for the various combinations (ordinary/single- cycle/multi-cycle). Using our Cyclic-Correlations-Based CRB (termed "CRBCRB"), we can bound the performance of any (unbiased) estimator which exploits a given set of correlations. Moreover, we propose an approximate maximum likelihood estimator (with respect to the correlations), and show that it attains our CRBCRB asymptotically in simulations, outperforming the competitors.

Original languageEnglish
Title of host publication2009 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings, ICASSP 2009
Pages3309-3312
Number of pages4
DOIs
StatePublished - 2009
Event2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009 - Taipei, Taiwan, Province of China
Duration: 19 Apr 200924 Apr 2009

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Conference

Conference2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009
Country/TerritoryTaiwan, Province of China
CityTaipei
Period19/04/0924/04/09

Keywords

  • Cyclic-correlations
  • Multi-cycle
  • TDOA

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