Maximum likelihood detection with intermittent observations

The decentralized detection performance, using wireless passive sensor networks, is analyzed according to the minimum probability of error criterion. Passive sensors communicate their measurements to the reader using data network packets, and therefore, the two main phenomena affecting the detection performance are packet loss and packet delay. In this paper, we formulate the decentralized detection problem with passive sensors and show that the optimal decision rule with packet loss is the likelihood ratio test. We present a comparative analysis study between detection with ideal and non-ideal channels, for the problem of DC level detection in White Gaussian Noise. We validate the analytical results using Monte Carlo Simulation study. Finally, we present a simple scheme for adaptive detector design, to restore the original detection performance, with the cost of increasing the delay for detection.

[1]  Huaiyu Dai,et al.  Distributed Detection of A Deterministic Signal in Correlated Gaussian Noise Over MAC , 2006, 2006 IEEE International Symposium on Information Theory.

[2]  J.-F. Chamberland,et al.  Wireless Sensors in Distributed Detection Applications , 2007, IEEE Signal Processing Magazine.

[3]  K. Khalil On the Complexity of Decentralized Decision Making and Detection Problems , 2022 .

[4]  Nils Sandell,et al.  Detection with Distributed Sensors , 1980, IEEE Transactions on Aerospace and Electronic Systems.

[5]  Amy R. Reibman,et al.  Optimal design and performance of distributed signal detection systems with faults , 1990, IEEE Trans. Acoust. Speech Signal Process..

[6]  Peter Willett,et al.  On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels , 2005, IEEE Transactions on Information Theory.

[7]  P.K. Varshney,et al.  Channel-aware distributed detection in wireless sensor networks , 2006, IEEE Signal Processing Magazine.

[8]  Lang Tong,et al.  Sensor-fusion center communication over multiaccess fading channels , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[9]  M. Madishetty,et al.  Distributed detection with channel errors , 2005, Proceedings of the Thirty-Seventh Southeastern Symposium on System Theory, 2005. SSST '05..

[10]  Pramod K. Varshney,et al.  Fusion of decisions transmitted over Rayleigh fading channels in wireless sensor networks , 2006, IEEE Transactions on Signal Processing.

[11]  Pramod K. Varshney,et al.  Channel aware decision fusion in wireless sensor networks , 2004, IEEE Transactions on Signal Processing.

[12]  Gautam Biswas,et al.  Detection using intermittent observations for passive wireless sensors , 2009, 2009 American Control Conference.

[13]  P.K. Varshney,et al.  Optimal Data Fusion in Multiple Sensor Detection Systems , 1986, IEEE Transactions on Aerospace and Electronic Systems.

[14]  Lei Zhang,et al.  Distributed decision fusion in the presence of networking delays and channel errors , 1992, Inf. Sci..

[15]  T. Duman,et al.  Decentralized detection over multiple-access channels , 1998 .

[16]  John N. Tsitsiklis,et al.  On the complexity of decentralized decision making and detection problems , 1985 .

[17]  Joshua R. Smith,et al.  Design of a Passively-Powered, Programmable Sensing Platform for UHF RFID Systems , 2007, 2007 IEEE International Conference on RFID.