Geolocation by time difference of arrival using hyperbolic asymptotes

Samuel P. Drake, Kutluyil Doǧançay

Research output: Contribution to journalConference articlepeer-review

47 Citations (Scopus)


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 languageEnglish
Pages (from-to)II361-II364
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publication statusPublished - 2004
Externally publishedYes
EventProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada
Duration: 17 May 200421 May 2004


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