Optimal nonuniform deployment of sensors for distributed detection in wireless sensor networks

  • Authors:
  • Vibhav Kapnadak;Edward J. Coyle

  • Affiliations:
  • Purdue University;Georgia Institute of Technology, Atlanta, GA

  • Venue:
  • ACM Transactions on Sensor Networks (TOSN)
  • Year:
  • 2014

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Abstract

We determine the optimal nonuniform spatial density of nodes in a single-hop Wireless Sensor Network (WSN) whose task is the distributed detection of a target within its sensing field. The optimization approach accounts for such factors as the Medium Access Control (MAC) protocol being used, the wireless channel's propagation characteristics, a randomized sleep/wake-up scheduling protocol, network coverage constraints, the energy consumed, the time to reach a decision, and the number of nodes in the network. The node density that minimizes the average Decision Error Probability (DEP) when a node at the center of the network serves as the Cluster Head (CH) is shown to be a function of the distance from this CH. The solution of this optimization problem and simulations demonstrate both the significant performance improvement provided by nonuniform spatial densities and the trade-offs that are possible amongst energy, network lifetime, detection performance, and time to reach a decision.