Energy-Efficient Routing for Signal Detection in Wireless Sensor Networks

For many envisioned applications of wireless sensor networks (WSNs), the information processing involves dealing with distributed data in the context of accurate signal detection and energy-efficient routing, which have been active research topics for many years, respectively. In this paper, we relate these two aspects via joint optimization. Considering the scenario of using distributed radar-like sensors to detect the presence of an object through active sensing, we formulate the problem of energy- efficient routing for signal detection under the Neyman-Pearson criterion, apparently for the first time. The joint optimization of detection and routing is carried out in a fusion center which precomputes the routes as a function of the geographic location to be monitored. Accordingly, we propose three different routing metrics that aim at an appropriate tradeoff between the detection performance and the energy expenditure. In particular, each metric relates the detection performance explicitly in terms of probabilities of detection and false alarm, with the energy consumed in sensing and routing. The routing problems are formulated as combinatorial optimization programs, and we provide solutions drawing on operations research. We present extensive simulation results that demonstrate the energy and detection performance tradeoffs for each proposed routing metric.

[1]  Venugopal V. Veeravalli,et al.  Decentralized detection in sensor networks , 2003, IEEE Trans. Signal Process..

[2]  Mark Ziegelmann.  Constrained shortest paths and related problems , 2001 .

[3]  Deborah Estrin,et al.  GPS-less low-cost outdoor localization for very small devices , 2000, IEEE Wirel. Commun..

[4]  Kurt Mehlhorn,et al.  LEDA: a platform for combinatorial and geometric computing , 1997, CACM.

[5]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise , 1992 .

[6]  Gabriel Y. Handler,et al.  A dual algorithm for the constrained shortest path problem , 1980, Networks.

[7]  Irina Dumitrescu,et al.  Constrained path and cycle problems , 2002 .

[8]  Fernando A. Kuipers,et al.  An overview of constraint-based path selection algorithms for QoS routing , 2002 .

[9]  Douglas L. Jones,et al.  Energy-efficient detection in sensor networks , 2005, IEEE Journal on Selected Areas in Communications.

[10]  JAMAL N. AL-KARAKI,et al.  Routing techniques in wireless sensor networks: a survey , 2004, IEEE Wireless Communications.

[11]  Andrés Marzal,et al.  Computing the K Shortest Paths: A New Algorithm and an Experimental Comparison , 1999, WAE.

[12]  S. M. Heemstra de Groot,et al.  Power-aware routing in mobile ad hoc networks , 1998, MobiCom '98.

[13]  Robert R. Tenney,et al.  Detection with distributed sensors , 1980 .

[14]  Rick S. Blum,et al.  Energy Efficient Signal Detection in Sensor Networks Using Ordered Transmissions , 2008, IEEE Transactions on Signal Processing.

[15]  David Eppstein,et al.  Finding the k Shortest Paths , 1999, SIAM J. Comput..

[16]  Y. Bar-Shalom,et al.  Censoring sensors: a low-communication-rate scheme for distributed detection , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[17]  Ian F. Akyildiz,et al.  Sensor Networks , 2002, Encyclopedia of GIS.

[18]  Ravindra K. Ahuja,et al.  Network Flows: Theory, Algorithms, and Applications , 1993 .

[19]  Bin Liu.  Channel aware distributed detection in wireless sensor networks , 2006 .

[20]  Chai-Keong Toh.  Maximum battery life routing to support ubiquitous mobile computing in wireless ad hoc networks , 2001 .

[21]  Robert E. Tarjan,et al.  Faster parametric shortest path and minimum-balance algorithms , 1991, Networks.

[22]  Pramod K. Varshney,et al.  Distributed detection with multiple sensors I. Fundamentals , 1997, Proc. IEEE.

[23]  David R. Karger,et al.  On approximating the longest path in a graph , 1997, Algorithmica.

[24]  Wenjun Li,et al.  Energy Efficient Distributed Detection via Multi-Hop Transmission in Sensor Networks , 2006, MILCOM 2006 - 2006 IEEE Military Communications conference.

[25]  Samir Ranjan Das,et al.  Serial data fusion using space-filling curves in wireless sensor networks , 2004, 2004 First Annual IEEE Communications Society Conference on Sensor and Ad Hoc Communications and Networks, 2004. IEEE SECON 2004..

[26]  Andrew V. Goldberg,et al.  Negative-Cycle Detection Algorithms , 1996, ESA.

[27]  Gang Qu,et al.  Energy-driven detection scheme with guaranteed accuracy , 2006, 2006 5th International Conference on Information Processing in Sensor Networks.

[28]  E. S. Pearson,et al.  On the Problem of the Most Efficient Tests of Statistical Hypotheses , 1933 .

[29]  Rick S. Blum,et al.  Distributed detection with multiple sensors I. Advanced topics , 1997, Proc. IEEE.

[30]  Lang Tong,et al.  Cooperative routing for distributed detection in large sensor networks , 2007, IEEE Journal on Selected Areas in Communications.

[31]  John N. Tsitsiklis,et al.  Introduction to linear optimization , 1997, Athena scientific optimization and computation series.

[32]  Joongseok Park,et al.  Maximum Lifetime Routing In Wireless Sensor Networks ∗ , 2005 .

[33]  Ram Ramanathan,et al.  Topology control of multihop wireless networks using transmit power adjustment , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[34]  M. Melamed.  Detection , 2021, SETI: Astronomy as a Contact Sport.

[35]  Maria Grazia Scutellà.  An approximation algorithm for computing longest paths , 2003, Eur. J. Oper. Res..

[36]  I. Dumitrescu,et al.  Algorithms for the Weight Constrained Shortest Path Problem , 2001 .

[37]  Bruno Borloz,et al.  Detection by SNR Maximization: Application to the Blind Source Separation Problem , 2004, ICA.

[38]  R. K. Wood,et al.  Lagrangian relaxation and enumeration for solving constrained shortest-path problems , 2008 .

[39]  A. Gualtierotti.  H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[40]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[41]  Dragan Petrovic,et al.  Information-directed routing in ad hoc sensor networks , 2005, IEEE J. Sel. Areas Commun..

[42]  Nicos Christofides,et al.  An algorithm for the resource constrained shortest path problem , 1989, Networks.

[43]  Rick S. Blum,et al.  A distributed framework for signal detection in wireless sensor networks , 2008, 2008 42nd Asilomar Conference on Signals, Systems and Computers.

[44]  E. S. Pearson,et al.  On the Problem of the Most Efficient Tests of Statistical Hypotheses , 1933 .

[45]  Rick S. Blum,et al.  On the Limitations of Random Sensor Placement for Distributed Signal Detection , 2009 .

[46]  Brian M. Sadler,et al.  Fundamentals of energy-constrained sensor network systems , 2005, IEEE Aerospace and Electronic Systems Magazine.

[47]  Thomas E. McEwan,et al.  Micropower impulse radar , 1997 .

[48]  H. Vincent Poor,et al.  An Introduction to Signal Detection and Estimation , 1994, Springer Texts in Electrical Engineering.

[49]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[50]  H. Vincent Poor,et al.  An introduction to signal detection and estimation (2nd ed.) , 1994 .

[51]  Samir Ranjan Das,et al.  Poster abstract: serial data aggregation using space-filling curves in wireless sensor networks , 2003, SenSys '03.

[52]  John N. Tsitsiklis,et al.  Decentralized detection by a large number of sensors , 1988, Math. Control. Signals Syst..

[53]  Rick S. Blum,et al.  Routing for Emitter/Reflector Signal Detection in Wireless Sensor Network Systems , 2007, 2007 IEEE International Conference on Communications.

[54]  P.K. Dutta,et al.  Towards radar-enabled sensor networks , 2006, 2006 5th International Conference on Information Processing in Sensor Networks.