Accurate and simple source localization using differential received signal strength

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Abstract

Locating an unknown-position source using received signal strength (RSS) measurements in an accurate and low-complexity manner is addressed in this paper. Given that the source transmit power is unknown, we employ the differential RSS information to devise two computationally attractive localization methods based on the weighted least squares (WLS) approach. The main ingredients in the first algorithm development are to obtain the unbiased estimates of the squared ranges and introduce an extra variable. The second method improves the first version by implicitly exploiting the relationship between the extra variable and source location through a second WLS step. The performance of the two estimators is analyzed in the presence of zero-mean white Gaussian disturbances. Numerical examples are also included to evaluate their localization accuracy by comparing with the maximum likelihood approach and Cramér–Rao lower bound.

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Lanxin Lin was born in China. She obtained the Masterʼs degree in Electronic Engineering from Shantou University and the Ph.D. degree from City University of Hong Kong, in 2009 and 2012, respectively. Her current research interest is source localization.

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Lanxin Lin was born in China. She obtained the Masterʼs degree in Electronic Engineering from Shantou University and the Ph.D. degree from City University of Hong Kong, in 2009 and 2012, respectively. Her current research interest is source localization.

Hing Cheung So was born in Hong Kong. He obtained the B.Eng. degree from City University of Hong Kong and the Ph.D. degree from The Chinese University of Hong Kong, both in Electronic Engineering, in 1990 and 1995, respectively.

From 1990 to 1991, he was an Electronic Engineer at the Research and Development Division of Everex Systems Engineering Ltd., Hong Kong. During 1995–1996, he worked as a Post-Doctoral Fellow at The Chinese University of Hong Kong. From 1996 to 1999, he was a Research Assistant Professor at the Department of Electronic Engineering, City University of Hong Kong, where he is currently an Associate Professor. His research interests include statistical signal processing, fast and adaptive algorithms, signal detection, parameter estimation, and source localization. He has been on the editorial boards of IEEE Transactions on Signal Processing, Signal Processing, Digital Signal Processing and ISRN Applied Mathematics as well as a member in Signal Processing Theory and Methods Technical Committee of the IEEE Signal Processing Society.

Yiu Tong Chan was born and raised in Hong Kong. He studied electrical engineering in Canada. His Bachelorʼs and Masterʼs degrees are from Queenʼs University, and his Ph.D. is from the University of New Brunswick. He was an engineer with Nortel Networks and has been a professor in the Electrical and Computer Engineering Department at the Royal Military College (RMC) of Canada, serving as head of the department from 1994 to 2000. From 2002 to 2005, he was a visiting professor at the Electronic Engineering Department of The Chinese University of Hong Kong (CUHK). Presently, he is an Emeritus Professor at RMC. He was also a Visiting Professor with the Department of Electronic and Information Engineering at The Hong Kong Polytechnic University. His research interests are in detection, estimation, localization, and tracking.

Dr. Chan received the Vice-Chancellorʼs Exemplary Teaching Award from CUHK in 2003. He was an Associate Editor of the IEEE Transactions on Signal Processing, the Technical Chair of ICASSP-84, General Chair of ICASSP-91, Vice-Chair of ICASSP-03, and Social Chair of ICASSP-04. He directed a NATO ASI in 1988. He is the author of Wavelet Basics (Kluwer, 1994).

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