Low-Complexity Hyperbolic Source Localization With A Linear Sensor Array

Author

Liu, Ning ; Xu, Zhengyuan ; Sadler, Brian M.

Author_Institution

Dept. of Electr. Eng., Univ. of California, Riverside, CA

Volume

15

fYear

2008

fDate

6/30/1905 12:00:00 AM

Firstpage

865

Lastpage

868

Abstract

We develop linear equations for low-complexity source localization, based on time difference of arrival (TDOA) measurements at a linear sensor array. The derivation comes from hyperbolic geometry in Cartesian coordinates, and the algorithm is valid for (possibly wideband) sources in the near or far field. An error analysis is used to predict bias and mean-square error, as well as provide optimal weighting for a low-complexity noniterative weighted least squares solution. A connection is made with an algorithm for arbitrary array geometry. Simulation results show that the proposed algorithm achieves maximum-likelihood performance and the CramrRao bound at medium to low TDOA measurement noise level.

Keywords

direction-of-arrival estimation; least mean squares methods; maximum likelihood estimation; sensor arrays; Cartesian coordinates; linear equations; linear sensor array; low-complexity hyperbolic source localization; maximum-likelihood performance; mean-square error; time difference of arrival; weighted least squares solution; Difference equations; Error analysis; Geometry; Least squares methods; Mean square error methods; Noise measurement; Sensor arrays; Time difference of arrival; Time measurement; Wideband; Hyperbolic; linear array; source localization;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2008.2007617

Filename

4682575