On Frequency Domain Models for TDOA Estimation

Jesper Rindom Jensen; Jesper Kjær Nielsen; Mads Græsbøll Christensen; Søren Holdt Jensen

doi:10.1109/ICASSP.2015.7177922

On Frequency Domain Models for TDOA Estimation

Jesper Rindom Jensen, Jesper Kjær Nielsen, Mads Græsbøll Christensen, Søren Holdt Jensen

Research output: Contribution to journal › Conference article in Journal › Research › peer-review

14 Citations (Scopus)

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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.

Original language	English
Journal	I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
Pages (from-to)	11-15
Number of pages	5
ISSN	1520-6149
DOIs	https://doi.org/10.1109/ICASSP.2015.7177922
Publication status	Published - Apr 2015
Event	40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 - Brisbane, Australia Duration: 19 Apr 2015 → 24 Apr 2015 Conference number: 2015

Conference

Conference	40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015
Number	2015
Country/Territory	Australia
City	Brisbane
Period	19/04/2015 → 24/04/2015

Access to Document

10.1109/ICASSP.2015.7177922

20150213_ICASSP15Other version, 245 KB

AUB Link

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Localization and Tracking of Speech - a Joint Audio-Visual Approach
Jensen, J. R. (Project Participant)
01/10/2013 → 30/09/2016
Project: Research

Cite this

@inproceedings{cff4ae32471d4733a8d168c2c5a8b26f,

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",

month = apr,

doi = "10.1109/ICASSP.2015.7177922",

language = "English",

pages = "11--15",

journal = "I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings",

issn = "1520-6149",

publisher = "IEEE Signal Processing Society",

note = "40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015, ICASSP ; Conference date: 19-04-2015 Through 24-04-2015",

}

TY - GEN

T1 - On Frequency Domain Models for TDOA Estimation

AU - Jensen, Jesper Rindom

AU - Nielsen, Jesper Kjær

AU - Christensen, Mads Græsbøll

AU - Jensen, Søren Holdt

N1 - Conference code: 2015

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

SN - 1520-6149

SP - 11

EP - 15

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

T2 - 40th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015

Y2 - 19 April 2015 through 24 April 2015

ER -

On Frequency Domain Models for TDOA Estimation

Abstract

Conference

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AUB Link

Projects

Localization and Tracking of Speech - a Joint Audio-Visual Approach

Cite this