Closed-form formulae for time-difference-of-arrival estimation

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2614-2620
Journal / PublicationIEEE Transactions on Signal Processing
Volume56
Issue number6
Publication statusPublished - Jun 2008

Abstract

For a positioning system with L sensors, a maximum of L(L - 1)/2 distinct time-difference-of-arrival (TDOA) measurements, which are referred to as the full TDOA set, can be obtained. In this paper, closed-form expressions regarding optimum conversion of the full TDOA set to the nonredundant TDOA set, which corresponds to (L - 1) TDOA measurements with respect to a common reference receiver, in the case of white signal source and noise, are derived. The most interesting finding is that optimum conversion can be achieved via the standard least squares estimation procedure. Furthermore, the Cramér-Rao lower bound for TDOA-based positioning is produced in closed-form, which will be useful for optimum sensor array design. © 2008 IEEE.

Research Area(s)

  • Optimum processing, Source localization, Time delay estimation

Citation Format(s)

Closed-form formulae for time-difference-of-arrival estimation. / So, Hing Cheung; Chan, Yiu Tong; Chan, Frankie Kit Wing.
In: IEEE Transactions on Signal Processing, Vol. 56, No. 6, 06.2008, p. 2614-2620.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review