Passive geolocalization of radio transmitters: Algorithm and performance in narrowband context

Passive localization commonly consists of a two steps strategy. In the first step, intermediate parameters, often called measurements (such as angles of arrival (AOA), times of arrival (TOA), etc.) are measured on several base stations equipped with sensor arrays. In a second step, the transmitted intermediate parameters are then used to estimate the position at a central processing unit. Such approach is suboptimal. To overcome this limitation, one step algorithms were recently proposed. They exploit simultaneously all received signals of all base stations seen as a global array in order to provide the source positions directly. In this paper, we propose an original one step algorithm called global MUSIC approach (GMA). The GMA offers better performance in narrowband context. Moreover it does not require the use of filter banks in the wideband signal context, contrary to the recently proposed direct position determination (DPD). GMA appears to outperform the DPD in wideband context. We also investigate in this paper by means of a Cramer-Rao bound analysis the potential gain achievable by a one step approach compared to a conventional two steps approach. Finally, numerical results illustrate the improvement of the proposed method compared to existing techniques in terms of location error and robustness to the time-bandwidth product.

[1]  Pau Closas,et al.  Maximum Likelihood Estimation of Position in GNSS , 2007, IEEE Signal Processing Letters.

[2]  Hakan Ali Cirpan,et al.  Deterministic Maximum likelihood Approach for Localization of Near-field Sources , 2002 .

[3]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[4]  Jonathan Bosse,et al.  A multiple narrowband emitters geolocation algorithm based on AOA estimations , 2010, 2010 18th European Signal Processing Conference.

[5]  David W. Lewis,et al.  Matrix theory , 1991 .

[6]  Anthony J. Weiss,et al.  Direct Position Determination: A Single-Step Emitter Localization Approach , 2009 .

[7]  Pau Closas,et al.  Ieee Transactions on Signal Processing Cramér-rao Bound Analysis of Positioning Approaches in Gnss Receivers , 2022 .

[8]  K. Dogancay,et al.  Bias Compensation for Least-Squares Multi-Pulse TDOA Localization Algorithms , 2005, 2005 International Conference on Intelligent Sensors, Sensor Networks and Information Processing.

[9]  Jonathan Bosse,et al.  Performance analysis of passive localization strategies: Direct one step approach versus 2 steps approach , 2011, 2011 IEEE Statistical Signal Processing Workshop (SSP).

[10]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[11]  WADE FOY,et al.  Position-Location Solutions by Taylor-Series Estimation , 1976, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Anthony J. Weiss,et al.  Direct position determination of narrowband radio frequency transmitters , 2004, IEEE Signal Processing Letters.

[13]  A. Ferréol,et al.  Low-cost algorithm for some bearing estimation methods in presence of separable nuisance parameters , 2004 .

[14]  T. Söderström,et al.  On reparametrization of loss functions used in estimation and the invariance principle , 1989 .

[15]  Don Torrieri,et al.  Statistical Theory of Passive Location Systems , 1984, IEEE Transactions on Aerospace and Electronic Systems.

[16]  A. Weiss,et al.  Performance analysis of bearing-only target location algorithms , 1992 .

[17]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[18]  Anthony J. Weiss,et al.  Fundamental Limitations on the Number of Resolvable Emitters Using a Geolocation System , 2007, IEEE Transactions on Signal Processing.

[19]  R. Schmidt,et al.  Multiple source DF signal processing: An experimental system , 1986 .

[20]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound: further results and comparisons , 1990, IEEE Trans. Acoust. Speech Signal Process..

[21]  Anthony J. Weiss,et al.  Direct Position Determination of Multiple Radio Signals , 2005, EURASIP J. Adv. Signal Process..

[22]  T. Engin Tuncer,et al.  Classical and Modern Direction-of-Arrival Estimation , 2009 .

[23]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[24]  Anthony J. Weiss,et al.  Localization of Narrowband Radio Emitters Based on Doppler Frequency Shifts , 2008, IEEE Transactions on Signal Processing.

[25]  Thomas Kailath,et al.  Decentralized processing in sensor arrays , 1985, IEEE Trans. Acoust. Speech Signal Process..

[26]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .