skip to main content
article

Discrete stochastic approximation algorithms for design of optimal sensor fusion rules

Published: 01 April 2007 Publication History

Abstract

The basic idea of distributed detection is to have a number of independent sensors, each to make a local decision (typically a binary one) and then to combine their decisions at a fusion centre to make a global decision. Fault-tolerance has been considered as one of the main characteristics of wireless sensor networks. A fusion rule in the form of an error correction code has been recently proposed for better fault-tolerance in distributed sensor networks. In this paper, we propose to employ the powerful discrete stochastic approximation techniques to optimise the code matrix, that is, the fusion rule, with the objective of minimising the probability of decision error. We consider both the standard stochastic approximation algorithm and two newly proposed ones for this application. Extensive simulation results are provided to demonstrate the effectiveness of the proposed design paradigm in obtaining optimal fusion rules in distributed wireless sensor networks.

References

[1]
Akyildiz, I.F., Su, W., Sankarasubramaniam, Y. and Cayirci, E. (2002) 'A survey on sensor networks', IEEE Communications Magazine, Vol. 40, No. 8, pp. 102-114.
[2]
Alrefaei, M. and Andradottir, S. (2001) 'A modification of the stochastic ruler method for discrete stochastic optimization', European Journal of Operational Research, Vol. 133, pp. 160-182.
[3]
Andradottir, S. (1995) 'A method for discrete stochastic optimization', Managament Science, Vol. 41, No. 12, pp. 1946-1961.
[4]
Andradottir, S. (1996) 'A global search method for discrete stochastic optimization', SIAM Journal of Optimization, May, Vol. 6, No. 2, pp. 513-530.
[5]
Andradottir, S. (1999) 'Accelerating the convergence of random search methods for discrete stochastic optimization', ACM Transactions on Modeling and Computer Simulation, October, Vol. 9, No. 4, pp. 349-380.
[6]
Berenguer, I., Wang, X. and Krishnamurthy, V. (2005) 'Adaptive MIMO antenna selection via discrete stochastic optimization', IEEE Transactions on Signal Processing, November, Vol. 53, No. 11, pp. 4315-4329.
[7]
Chen, B. and Willet, P.K. (2005) 'On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels', IEEE Transations on Information Theory, Vol. 51, No. 2, pp. 693-699.
[8]
D'Costa, A. and Sayeed, A.M. (2003a) 'Data versus decision fusion in sensor networks', Proceeding of 2003 IEEE International Conferences Acoustics, Speech and Signal Processing, April, Hong Kong, China.
[9]
D'Costa, A. and Sayeed, A.M. (2003b) 'Data versus decision fusion for classification in sensor networks', Proceeding of Sixth International Conference on Information Fusion, July, pp. 889-895.
[10]
Krishnamurthy, V., Wang, X. and Yin, G. (2004) 'Spreading code optimization and adaptation in CDMA via discrete stochastic optimization', IEEE Transactions on Informations Theory, September, Vol. 50, No. 9, pp. 1927-1949.
[11]
Krishnamurthy, V., Vora, T. and Chung, S.H. (to appear) 'Adaptive Brownian dynamics simulation algorithms for shape estimation of membrane ion channels', IEEE Transactions on Nanobioscience.
[12]
Meyer, G.G.L. and Weinert, H.L. (1986) 'On the design of fault-tolerant signal detectors', IEEE Transactions on Acoustics, Speechand, Signal Processing, August, Vol. ASSP-34, pp. 973-978.
[13]
Reibman, A.R. and Nolte, L.W. (1990a) 'Optimal fault-tolerant signal detection', IEEE Transactions on Acoustics, Speech and Signal Processing, January, Vol. 38, No. 1, pp. 179-180.
[14]
Reibman, A.R. and Nolte, L.W. (1990b) 'Optimal design and performance of distributed signal detection systems with faults', IEEE Transactions on Acoustics, Speech and Signal Processing, October, Vol. 38, No. 10, pp. 1771-1782.
[15]
Ross, S. (2002) Simulation, 3rd edition, Academic Press.
[16]
Tenney, R.R. and Sandell Jr., N.R. (1981) Detection with distributed sensors', IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-17, pp. 501-510.
[17]
Thomopoulos, S.C. and Zhang, L. (1992) 'Distributed decision fusion in the presence of networking delays and channel errors', Information Science, December, Vol. 66, No. 1.2, pp. 91-118.
[18]
Wang, T., Han, Y.S., Varshney, P.K. and Chen, P. (2005) 'Distributed fault-tolerant classification in wireless sensor networks', IEEE Journal on Selected Areas in Communications, April, Vol. 23, No. 4, pp. 724-734.
[19]
Zhu, X., Kam, M. and Rorres, C. (1998) 'M-ary hypothesis testing with binary local decisions', Proceeding of 1998 Conference Information Science System, March, pp. 107-112.

Cited By

View all

Recommendations

Comments

Information & Contributors

Information

Published In

cover image International Journal of Sensor Networks
International Journal of Sensor Networks  Volume 2, Issue 3/4
June 2007
137 pages
ISSN:1748-1279
EISSN:1748-1287
Issue’s Table of Contents

Publisher

Inderscience Publishers

Geneva 15, Switzerland

Publication History

Published: 01 April 2007

Author Tags

  1. discrete stochastic approximation
  2. distributed WSNs
  3. distributed detection
  4. error correction code
  5. fusion rules
  6. minimum error probability
  7. sensor fusion
  8. simulation
  9. wireless networks
  10. wireless sensor networks

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 05 Feb 2025

Other Metrics

Citations

Cited By

View all

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media