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

K. W. Cheung; H. C. So; W. K. Ma; Y. T. Chan

doi:10.1155/ASP/2006/20858

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

K. W. Cheung^*
, H. C. So
, W. K. Ma
, Y. T. Chan

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

287 Citations (Scopus)

54 Downloads (CityUHK Scholars)

Abstract

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.

Original language	English
Article number	20858
Journal	EURASIP Journal on Applied Signal Processing
Volume	2006
Online published	1 Dec 2006
DOIs	https://doi.org/10.1155/ASP/2006/20858
Publication status	Published - 2006

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title = "A Constrained Least Squares Approach to Mobile Positioning: Algorithms and Optimality",

abstract = "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 Cram{\'e}r-Rao lower bound approximately when measurement error variances are small.The asymptotic optimum performance is also confirmed by simulation results. Copyright {\textcopyright} 2006 Hindawi Publishing corporation. All rights reserved.",

author = "Cheung, \{K. W.\} and So, \{H. C.\} and Ma, \{W. K.\} and Chan, \{Y. T.\}",

year = "2006",

doi = "10.1155/ASP/2006/20858",

language = "English",

volume = "2006",

journal = "EURASIP Journal on Applied Signal Processing",

issn = "1110-8657",

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TY - JOUR

T1 - A Constrained Least Squares Approach to Mobile Positioning

T2 - Algorithms and Optimality

AU - Cheung, K. W.

AU - So, H. C.

AU - Ma, W. K.

AU - Chan, Y. T.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/33746582376

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33746582376&origin=recordpage

U2 - 10.1155/ASP/2006/20858

DO - 10.1155/ASP/2006/20858

M3 - RGC 21 - Publication in refereed journal

SN - 1110-8657

VL - 2006

JO - EURASIP Journal on Applied Signal Processing

JF - EURASIP Journal on Applied Signal Processing

M1 - 20858

ER -

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

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