Channel estimation and multiple target tracking in wireless sensor networks based on quantised proximity sensors

This study presents a hybrid quantised variational/sequential Monte Carlo (SMC) method for multiple target tracking in quantised sensor networks, by considering channel estimation problem. SMC scheme is employed to attribute ambiguous observations to specific targets based on association probabilities. The associated measurements are then incorporated by the quantised variational filter (QVF), where the distribution of involved particles is approximated by a Gaussian distribution for each target. In the current work, the authors propose to jointly estimate the multiple target positions, the channel attenuation between one sensor and the cluster head, and optimise the number of quantisation bits used by the candidate sensor to quantise its measurement. The multiple target positions are estimated by using the hybrid quantised variational filtering/sequential Monte Carlo-based approach to data association. The channel attenuation is estimated by maximising the a posterior distribution and the quantisation is optimised by maximising the Fisher information. The computation of these criteria is based on the target position predictive distribution provided by the QVF algorithm. Numerical examples show that the quantisation combined with channel estimation improve the estimation performances and minimise the error estimation.

[1]  Aggelos K. Katsaggelos,et al.  A Bayesian Super-Resolution Approach to Demosaicing of Blurred Images , 2006, EURASIP J. Adv. Signal Process..

[2]  Josiane Zerubia,et al.  Subpixel image registration by estimating the polyphase decomposition of cross power spectrum , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[3]  P. Pérez,et al.  Tracking multiple objects with particle filtering , 2002 .

[4]  O. Barndorff-Nielsen Exponentially decreasing distributions for the logarithm of particle size , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  Hichem Snoussi,et al.  Binary Variational Filtering for Target Tracking in Sensor Networks , 2007, 2007 IEEE/SP 14th Workshop on Statistical Signal Processing.

[6]  Rachel Cardell-Oliver,et al.  A Reactive Soil Moisture Sensor Network: Design and Field Evaluation , 2005, Int. J. Distributed Sens. Networks.

[7]  James E. Reich,et al.  Resource-Aware Multi-Target Tracking in Distributed Sensor Networks ∗ , 2022 .

[8]  Michael Elad,et al.  A fast super-resolution reconstruction algorithm for pure translational motion and common space-invariant blur , 2001, IEEE Trans. Image Process..

[9]  Peyman Milanfar,et al.  A computationally efficient superresolution image reconstruction algorithm , 2001, IEEE Trans. Image Process..

[10]  Aggelos K. Katsaggelos,et al.  Bayesian multichannel image restoration using compound Gauss-Markov random fields , 2003, IEEE Trans. Image Process..

[11]  Yunhao Liu,et al.  Contour map matching for event detection in sensor networks , 2006, SIGMOD Conference.

[12]  Hassan Foroosh,et al.  Extension of phase correlation to subpixel registration , 2002, IEEE Trans. Image Process..

[13]  Y. Bar-Shalom,et al.  Tracking in clutter with nearest neighbor filters: analysis and performance , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[14]  C. Richard,et al.  Cramer-Rao bound-based adaptive quantization for target tracking in wireless sensor networks , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[15]  Ali Mohammad-Djafari,et al.  EVALUATION AND PRACTICAL ISSUES OF SUBPIXEL IMAGE REGISTRATION USING PHASE CORRELATION METHODS , 2005 .

[16]  Aggelos K. Katsaggelos,et al.  Parameter estimation in Bayesian high-resolution image reconstruction with multisensors , 2003, IEEE Trans. Image Process..

[17]  R. Gerchberg Super-resolution through Error Energy Reduction , 1974 .

[18]  Matthew J. Beal Variational algorithms for approximate Bayesian inference , 2003 .

[19]  A. Mohammad-Djafari,et al.  Super-Resolution and Joint Segmentation in Bayesian Framework , 2005 .

[20]  Songhwai Oh,et al.  Markov chain Monte Carlo data association for general multiple-target tracking problems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).