Sparsity-Based Optimization of the Sensors Positions in Radar Networks with Separated Transmit and Receive Nodes

A sparsity-based approach for the joint optimization of the transmit and the receive nodes positions in the radar network with widely distributed antennas is proposed in this paper. The optimization problem is formulated as minimization of the number of radars that meet fixed target localization requirements over the surveillance area. We demonstrated that this type of the problem is different from the problem of the monostatic radar network topology optimization and implies the bilinear matrix inequality (BMI) problem. To tackle it, we propose to use the relaxation technique, which allows for joint selection of the positions for transmit and receive radar nodes. Provided numerical analysis shows that, in order to satisfy the same requirements to the target localization accuracy, the radar network with bistatic radars requires less number of the nodes than the one with monostatic radars.

[1]  A. Farina,et al.  A Real Time Test Bed for 2D and 3D Multi-Radar Tracking and Data Fusion with Application to Border Control , 2006, 2006 CIE International Conference on Radar.

[2]  D. Kocur,et al.  Object localization using round trip propagation time measurements , 2008, 2008 18th International Conference Radioelektronika.

[3]  S. Frasier,et al.  Dense radar networks for low-flyer surveillance , 2011, 2011 IEEE International Conference on Technologies for Homeland Security (HST).

[4]  Martin Vetterli,et al.  Near-Optimal Sensor Placement for Linear Inverse Problems , 2013, IEEE Transactions on Signal Processing.

[5]  F. Gustafsson,et al.  Mobile positioning using wireless networks: possibilities and fundamental limitations based on available wireless network measurements , 2005, IEEE Signal Processing Magazine.

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

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

[8]  Thia Kirubarajan,et al.  Antenna allocation for MIMO radars with collocated antennas , 2012, 2012 15th International Conference on Information Fusion.

[9]  João Pedro Hespanha,et al.  Optimal sensor placement for time difference of arrival localization , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[10]  Stephen P. Boyd,et al.  Sensor Selection via Convex Optimization , 2009, IEEE Transactions on Signal Processing.

[11]  Alaa F. Sheta,et al.  Optimizing the communication distance of an ad hoc wireless sensor networks by genetic algorithms , 2008, Artificial Intelligence Review.

[12]  Dario Petri,et al.  Active radar networks for terminal security airport , 2014, 2014 15th International Radar Symposium (IRS).

[13]  Sundeep Prabhakar Chepuri,et al.  Sparsity-Promoting Sensor Selection for Non-Linear Measurement Models , 2013, IEEE Transactions on Signal Processing.

[14]  H. V. Trees.  Detection, Estimation, And Modulation Theory , 2001 .

[15]  Pascal Aubry,et al.  Nearly Orthogonal Waveforms for MIMO FMCW Radar , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[16]  Brian D. O. Anderson,et al.  Doppler Shift Target Localization , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[17]  Stephen P. Boyd,et al.  Semidefinite Programming Relaxations of Non-Convex Problems in Control and Combinatorial Optimization , 1997 .

[18]  Alexander M. Haimovich,et al.  Non-coherent MIMO radar for target estimation: More antennas means better performance , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[19]  D. R. Mudgett,et al.  Optimal observer trajectories for bearings only tracking by minimizing the trace of the Cramer-Rao lower bound , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[20]  Mojtaba Radmard,et al.  Data Fusion in MIMO DVB-T-Based Passive Coherent Location , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[21]  O. A. Krasnov,et al.  Receivers topology optimization of the combined active and WiFi-based passive radar network , 2014, 2014 44th European Microwave Conference.

[22]  A. Yarovoy,et al.  Performance analysis of multisite radar systems , 2013, 2013 European Radar Conference.

[23]  Alexander M. Haimovich,et al.  Target Localization Accuracy Gain in MIMO Radar-Based Systems , 2008, IEEE Transactions on Information Theory.

[24]  Alexander M. Haimovich,et al.  Target Velocity Estimation and Antenna Placement for MIMO Radar With Widely Separated Antennas , 2010, IEEE Journal of Selected Topics in Signal Processing.

[25]  Stephen P. Boyd,et al.  Enhancing Sparsity by Reweighted ℓ1 Minimization , 2007, 0711.1612.