- Research Article
- Open Access
Decentralized Detection in Wireless Sensor Networks with Channel Fading Statistics
EURASIP Journal on Wireless Communications and Networking volume 2007, Article number: 062915 (2006)
Existing channel aware signal processing design for decentralized detection in wireless sensor networks typically assumes the clairvoyant case, that is, global channel state information (CSI) is known at the design stage. In this paper, we consider the distributed detection problem where only the channel fading statistics, instead of the instantaneous CSI, are available to the designer. We investigate the design of local decision rules for the following two cases: (1) fusion center has access to the instantaneous CSI; (2) fusion center does not have access to the instantaneous CSI. As expected, in both cases, the optimal local decision rules that minimize the error probability at the fusion center amount to a likelihood ratio test (LRT). Numerical analysis reveals that the detection performance appears to be more sensitive to the knowledge of CSI at the fusion center. The proposed design framework that utilizes only partial channel knowledge will enable distributed design of a decentralized detection wireless sensor system.
Radner R: Team decision problems. Annals of Mathematical Statistics 1962,33(3):857-881. 10.1214/aoms/1177704455
Tenney RR, Sandell NR Jr.: Detection with distributed sensors. IEEE Transactions on Aerospace and Electronic Systems 1981,17(4):501-510.
Varshney PK: Distributed Detection and Data Fusion. Springer, New York, NY, USA; 1997.
Reibman AR, Nolte LW: Optimal detection and performance of distributed sensor systems. IEEE Transactions on Aerospace and Electronic Systems 1987,23(1):24-30.
Hoballah IY, Varshney PK: Distributed Bayesian signal detection. IEEE Transactions on Information Theory 1989,35(5):995-1000. 10.1109/18.42208
Thomopoulos SCA, Viswanathan R, Bougoulias DK: Optimal distributed decision fusion. IEEE Transactions on Aerospace and Electronic Systems 1989,25(5):761-765. 10.1109/7.42092
Tsitsiklis JN: Decentralized detection. In Advances in Statistical Signal Processing. Edited by: Poor HV, Thomas JB. JAI Press, Greenwich, Conn, USA; 1993:297-344.
Duman TM, Salehi M: Decentralized detection over multiple-access channels. IEEE Transactions on Aerospace and Electronic Systems 1998,34(2):469-476. 10.1109/7.670328
Chen B, Willett PK: On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels. IEEE Transactions on Information Theory 2005,51(2):693-699. 10.1109/TIT.2004.840879
Liu B, Chen B: Channel-optimized quantizers for decentralized detection in sensor networks. IEEE Transactions on Information Theory 2006,52(7):3349-3358.
Kashyap A: Comments on "on the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels". IEEE Transactions on Information Theory 2006,52(3):1274-1275.
Tsitsiklis JN, Athans M: On the complexity of decentralized decision making and detection problems. IEEE Transactions on Automatic Control 1985,30(5):440-446. 10.1109/TAC.1985.1103988
Willett PK, Swaszek PF, Blum RS: The good, bad, and ugly: distributed detection of a known signal in dependent gaussian noise. IEEE Transactions on Signal Processing 2000,48(12):3266-3279. 10.1109/78.886990
Chen B, Jiang R, Kasetkasem T, Varshney PK: Fusion of decisions transmitted over fading channels in wireless sensor networks. Proceedings of the 36th Asilomar Conference on Signals, Systems and Computers, November 2002, Pacific Grove, Calif, USA 2: 1184-1188.
Niu R, Chen B, Varshney PK: Decision fusion rules in wireless sensor networks using fading channel statistics. Proceedings of the 37th Annual Conference on Information Sciences and Systems (CISS '03), March 2003, Baltimore, Md, USA
Tsitsiklis JN: Extremal properties of likelihood-ratio quantizers. IEEE Transactions on Communications 1993,41(4):550-558. 10.1109/26.223779
About this article
Cite this article
Liu, B., Chen, B. Decentralized Detection in Wireless Sensor Networks with Channel Fading Statistics. J Wireless Com Network 2007, 062915 (2006). https://doi.org/10.1155/2007/62915
- Wireless Sensor Network
- Channel Fading
- Channel State Information
- Fusion Center
- Design Framework