On Frequency Domain Models for TDOA Estimation

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Abstract

Time-difference-of-arrival (TDOA) estimation is an important problem in many microphone signal processing applications. Traditionally, this problem is solved by using a cross-correlation method, but in this paper we show that the cross-correlation method is actually a restricted special case of a much more general method. In this connection, we establish the conditions under which the cross-correlation method is a statistically efficient estimator. One of the conditions is that the source signal is periodic with a known fundamental frequency of 2π/N radians per sample, where N is the number of data points, and a known number of harmonics. The more general method only relies on that the source signal is periodic and is, therefore, able to outperform the cross-correlation method in terms of estimation accuracy on both synthetic and real-world data. The simulation code is available online.
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Time-difference-of-arrival (TDOA) estimation is an important problem in many microphone signal processing applications. Traditionally, this problem is solved by using a cross-correlation method, but in this paper we show that the cross-correlation method is actually a restricted special case of a much more general method. In this connection, we establish the conditions under which the cross-correlation method is a statistically efficient estimator. One of the conditions is that the source signal is periodic with a known fundamental frequency of 2π/N radians per sample, where N is the number of data points, and a known number of harmonics. The more general method only relies on that the source signal is periodic and is, therefore, able to outperform the cross-correlation method in terms of estimation accuracy on both synthetic and real-world data. The simulation code is available online.
Original languageEnglish
JournalI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
Pages (from-to)11-15
Number of pages5
ISSN1520-6149
DOI
StatePublished - Apr 2015
Publication categoryResearch
Peer-reviewedYes
Event40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 - Brisbane, Australia
Duration: 19 Apr 201524 Apr 2015
Conference number: 2015

Conference

Conference40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015
Number2015
CountryAustralia
CityBrisbane
Period19/04/201524/04/2015

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