A signal-specific bound for joint TDOA and FDOA estimation and its use in combining multiple segments

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

Abstract

We consider passive joint estimation of the time-difference of arrival (TDOA) and frequency-difference of arrival (FDOA) of an unknown signal at two sensors. The classical approach for deriving the Cramér-Rao bound (CRB) in this context assumes that the signal (as well as the noise) is Gaussian and stationary. As a result, the obtained Fisher information matrix with respect to the TDOA and FDOA is diagonal, implying that the respective estimation errors are uncorrelated (under asymptotic conditions). However, for some specific (non-Gaussian, non-stationary) signals, especially chirp-like signals, these errors can be strongly correlated. In this work we derive a "signal- specific" (or a "conditional") CRB for this problem: Modeling the signal as a deterministic unknown, we obtain a bound which, given any particular signal, can reflect the possible signal-induced correlation between the TDOA and FDOA estimates. We further demonstrate that this bound is instrumental for proper weighting when combining joint TDOA and FDOA estimates from independent intervals.

Original languageEnglish
Title of host publication2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
Pages3874-3877
Number of pages4
DOIs
StatePublished - 2010
Event2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States
Duration: 14 Mar 201019 Mar 2010

Publication series

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

Conference

Conference2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Country/TerritoryUnited States
CityDallas, TX
Period14/03/1019/03/10

Keywords

  • Conditional Cramér-Rao bound
  • FDOA
  • Optimal weighting
  • TDOA

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