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A simple and efficient estimator for hyperbolic location

1994/01/01 by Y.T. Chan, K.C. Ho, K. C. Ho · 17 citations
Computer Science · Earth and Planetary Sciences · Engineering · #Indoor and Outdoor Localization Technologies #Speech and Audio Processing #Underwater Acoustics Research

paper · doi:10.1109/78.301830

openalex publication_date 1994/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

An effective technique in locating a source based on intersections of hyperbolic curves defined by the time differences of arrival of a signal received at a number of sensors is proposed. The approach is noniterative and gives an explicit solution. It is an approximate realization of the maximum-likelihood estimator and is shown to attain the Cramer-Rao lower bound near the small error region. Comparisons of performance with existing techniques of beamformer, spherical-interpolation, divide and conquer, and iterative Taylor-series methods are made. The proposed technique performs significantly better than spherical-interpolation, and has a higher noise threshold than divide and conquer before performance breaks away from the Cramer-Rao lower bound. It provides an explicit solution form that is not available in the beamforming and Taylor-series methods. Computational complexity is comparable to spherical-interpolation but substantially less than the Taylor-series method.>

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