10 Citationer (Scopus)
285 Downloads (Pure)

Resumé

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.
OriginalsprogEngelsk
TidsskriftI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
Sider (fra-til)11-15
Antal sider5
ISSN1520-6149
DOI
StatusUdgivet - apr. 2015
Begivenhed40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 - Brisbane, Australien
Varighed: 19 apr. 201524 apr. 2015
Konferencens nummer: 2015

Konference

Konference40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015
Nummer2015
LandAustralien
ByBrisbane
Periode19/04/201524/04/2015

Emneord

  • TDOA estimation
  • fundamental frequency estimation
  • generalized cross-correlation

Citer dette

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title = "On Frequency Domain Models for TDOA Estimation",
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.",
keywords = "TDOA estimation, fundamental frequency estimation, generalized cross-correlation",
author = "Jensen, {Jesper Rindom} and Nielsen, {Jesper Kj{\ae}r} and Christensen, {Mads Gr{\ae}sb{\o}ll} and Jensen, {S{\o}ren Holdt}",
year = "2015",
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doi = "10.1109/ICASSP.2015.7177922",
language = "English",
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journal = "I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings",
issn = "1520-6149",
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T1 - On Frequency Domain Models for TDOA Estimation

AU - Jensen, Jesper Rindom

AU - Nielsen, Jesper Kjær

AU - Christensen, Mads Græsbøll

AU - Jensen, Søren Holdt

PY - 2015/4

Y1 - 2015/4

N2 - 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.

AB - 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.

KW - TDOA estimation

KW - fundamental frequency estimation

KW - generalized cross-correlation

U2 - 10.1109/ICASSP.2015.7177922

DO - 10.1109/ICASSP.2015.7177922

M3 - Conference article in Journal

SP - 11

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JO - I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings

JF - I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings

SN - 1520-6149

ER -