A Constrained Least Squares Approach to Mobile Positioning : Algorithms and Optimality

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Original languageEnglish
Article number20858
Journal / PublicationEurasip Journal on Applied Signal Processing
Online published1 Dec 2006
Publication statusPublished - 2006



The problem of locating a mobile terminal has received significant attention in the field of wireless communications. Time-of-arrival(TOA), received signal strength (RSS), time-difference-of-arrival(TDOA), and angle-of-arrival (AOA) are commonly used measurements for estimating the position of the mobile station. In this paper,we present a constrained weighted least squares (CWLS) mobile positioning approach that encompasses all the above described measurement cases. The advantages of CWLS include performance optimality and capability of extension to hybrid measurement cases(e.g., mobile positioning using TDOA and AOA measurements jointly). Assuming zero-mean uncorrelated measurement errors, we show by mean and variance analysis that all the developed CWLS location estimators achieve zero bias and the Cramér-Rao lower bound approximately when measurement error variances are small.The asymptotic optimum performance is also confirmed by simulation results. Copyright © 2006 Hindawi Publishing corporation. All rights reserved.

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