Geolocation by time difference of arrival using hyperbolic asymptotes

Samuel P. Drake; Kutluyil Doǧançay

doi:10.1109/ICASSP.2004.1326269

Geolocation by time difference of arrival using hyperbolic asymptotes

Samuel P. Drake, Kutluyil Doǧançay

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

47 Citations (Scopus)

Abstract

The paper proposes a new simplified algorithm to estimate the location of an emitter by utilizing time difference of arrival (TDOA) measurements. This is achieved by recasting the estimation problem in prolate spheroidal coordinates. Prolate spheroidal coordinates greatly simplify the TDOA equations, producing a set of linear equations in the far field limit. The set of linear equations corresponds to the hyperbolic, asymptotes of the TDOA measurements. We also develop a systematic approach that associates the hyperbolic asymptotes with the emitter. In the near field the far-field solution can be used to "seed" the iterative maximum likelihood (ML) estimate, enabling convergence to the ML solution.

Original language	English
Pages (from-to)	II361-II364
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
DOIs	https://doi.org/10.1109/ICASSP.2004.1326269
Publication status	Published - 2004
Externally published	Yes
Event	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada Duration: 17 May 2004 → 21 May 2004

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10.1109/ICASSP.2004.1326269Licence: In Copyright

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title = "Geolocation by time difference of arrival using hyperbolic asymptotes",

abstract = "The paper proposes a new simplified algorithm to estimate the location of an emitter by utilizing time difference of arrival (TDOA) measurements. This is achieved by recasting the estimation problem in prolate spheroidal coordinates. Prolate spheroidal coordinates greatly simplify the TDOA equations, producing a set of linear equations in the far field limit. The set of linear equations corresponds to the hyperbolic, asymptotes of the TDOA measurements. We also develop a systematic approach that associates the hyperbolic asymptotes with the emitter. In the near field the far-field solution can be used to {"}seed{"} the iterative maximum likelihood (ML) estimate, enabling convergence to the ML solution.",

author = "Drake, {Samuel P.} and Kutluyil Doǧan{\c c}ay",

year = "2004",

doi = "10.1109/ICASSP.2004.1326269",

language = "English",

volume = "2",

pages = "II361--II364",

journal = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

issn = "1520-6149",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing ; Conference date: 17-05-2004 Through 21-05-2004",

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T1 - Geolocation by time difference of arrival using hyperbolic asymptotes

AU - Drake, Samuel P.

AU - Doǧançay, Kutluyil

PY - 2004

Y1 - 2004

N2 - The paper proposes a new simplified algorithm to estimate the location of an emitter by utilizing time difference of arrival (TDOA) measurements. This is achieved by recasting the estimation problem in prolate spheroidal coordinates. Prolate spheroidal coordinates greatly simplify the TDOA equations, producing a set of linear equations in the far field limit. The set of linear equations corresponds to the hyperbolic, asymptotes of the TDOA measurements. We also develop a systematic approach that associates the hyperbolic asymptotes with the emitter. In the near field the far-field solution can be used to "seed" the iterative maximum likelihood (ML) estimate, enabling convergence to the ML solution.

AB - The paper proposes a new simplified algorithm to estimate the location of an emitter by utilizing time difference of arrival (TDOA) measurements. This is achieved by recasting the estimation problem in prolate spheroidal coordinates. Prolate spheroidal coordinates greatly simplify the TDOA equations, producing a set of linear equations in the far field limit. The set of linear equations corresponds to the hyperbolic, asymptotes of the TDOA measurements. We also develop a systematic approach that associates the hyperbolic asymptotes with the emitter. In the near field the far-field solution can be used to "seed" the iterative maximum likelihood (ML) estimate, enabling convergence to the ML solution.

UR - http://www.scopus.com/inward/record.url?scp=4644255844&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.2004.1326269

DO - 10.1109/ICASSP.2004.1326269

M3 - Conference article

AN - SCOPUS:4644255844

SN - 1520-6149

VL - 2

SP - II361-II364

JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

T2 - Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing

Y2 - 17 May 2004 through 21 May 2004

ER -

Geolocation by time difference of arrival using hyperbolic asymptotes

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