Multi-sensor transmission power scheduling for remote state estimation under SINR model

In this paper, we consider multi-sensor transmission power scheduling for remote state estimation. Each sensor measures its corresponding process and then sends the local estimate to a remote estimator through a shared wireless channel. Due to the interference from other sensors and the channel noise, packet drop occurs. Each sensor needs to decide the transmission power individually to maximize the estimation performance subject to an energy constraint in this multi-player game under signal-to-interference-plus-noise ratio (SINR) model. As the Nash equilibrium of the game may not be Pareto optimal, we propose mixed strategies for each sensor using the online information which can improve the estimation performance for all sensors. Comparison and simulation of three typical power schedules are then provided.

[1]  Ling Shi,et al.  Sensor data scheduling for optimal state estimation with communication energy constraint , 2011, Autom..

[2]  Ling Shi,et al.  Kalman Filtering Over a Packet-Dropping Network: A Probabilistic Perspective , 2010, IEEE Transactions on Automatic Control.

[3]  J. Nash,et al.  NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[4]  B. Anderson,et al.  Optimal Filtering , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  Ling Shi,et al.  An improved hybrid sensor schedule for remote state estimation under limited communication resources , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[6]  Ling Shi,et al.  How Can Online Schedules Improve Communication and Estimation Tradeoff? , 2013, IEEE Transactions on Signal Processing.

[7]  Xin Wang,et al.  Minimizing Transmit Power for Coherent Communications in Wireless Sensor Networks With Finite-Rate Feedback , 2008, IEEE Transactions on Signal Processing.

[8]  Daniel E. Quevedo,et al.  Packetized Predictive Control of Stochastic Systems Over Bit-Rate Limited Channels With Packet Loss , 2011, IEEE Transactions on Automatic Control.

[9]  Ling Shi,et al.  Optimal Periodic Transmission Power Schedules for Remote Estimation of ARMA Processes , 2013, IEEE Transactions on Signal Processing.

[10]  Sirin Tekinay,et al.  A survey of game-theoretic approaches in wireless sensor networks , 2008, Comput. Networks.

[11]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[12]  Shamik Sengupta,et al.  A Game Theoretic Framework for Power Control in Wireless Sensor Networks , 2010, IEEE Transactions on Computers.

[13]  Ling Shi,et al.  Time and Event-based Sensor Scheduling for Networks with Limited Communication Resources , 2011 .

[14]  Zoran Gajic,et al.  A nash game algorithm for SIR-based power control in 3G wireless CDMA networks , 2005, IEEE/ACM Transactions on Networking.

[15]  Gerhard P. Hancke,et al.  Industrial Wireless Sensor Networks: Challenges, Design Principles, and Technical Approaches , 2009, IEEE Transactions on Industrial Electronics.

[16]  Elif Uysal-Biyikoglu,et al.  A power control game with smooth reduction of SINR objectives , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[17]  Giuseppe Caire,et al.  Optimum power control over fading channels , 1999, IEEE Trans. Inf. Theory.

[18]  Dimitris A. Pados,et al.  SINR, bit error rate, and Shannon capacity optimized spread-spectrum steganography , 2004, 2004 International Conference on Image Processing, 2004. ICIP '04..

[19]  G. Hardin,et al.  The Tragedy of the Commons , 1968, Green Planet Blues.

[20]  John S. Baras,et al.  Sensor Scheduling using Smart Sensors , 2007, 2007 46th IEEE Conference on Decision and Control.

[21]  Ling Shi,et al.  Online sensor transmission power schedule for remote state estimation , 2013, 52nd IEEE Conference on Decision and Control.

[22]  M. Adibi,et al.  Comparison of Cooperative and Non-Cooperative Game Schemes for SINR-Constrained Power Allocation in Multiple Antenna CDMA Communication Systems , 2007, 2007 IEEE International Conference on Signal Processing and Communications.

[23]  Dimitrios D. Vergados,et al.  A survey on power control issues in wireless sensor networks , 2007, IEEE Communications Surveys & Tutorials.