Type of Document 
Master's Thesis 
Author 
Gunturu, Krishna Kishore

Author's Email Address 
kguntu1@lsu.edu 
URN 
etd08222007015144 
Title 
Optimum Energy Allocation for Detection in Wireless Sensor Networks 
Degree 
Master of Science in Electrical Engineering (M.S.E.E.) 
Department 
Electrical & Computer Engineering 
Advisory Committee 
Advisor Name 
Title 
Morteza Naraghi Pour 
Committee Chair 
Jorge Aravena 
Committee Member 
XueBin Liang 
Committee Member 

Keywords 
 distance measure
 lagrange mulitiplier
 hypothesis testing

Date of Defense 
20070808 
Availability 
unrestricted 
Abstract
The problem of binary hypothesis testing in a wireless sensor network is studied in the presence of noisy channels and for nonidentical sensors. We have designed a mathematically tractable fusion rule for which optimal energy allocation for individual sensors can be achieved. In this thesis we considered two methods for transmitting the sensor observations; binary modulation and Mary modulation. In binary modulation we are able to allocate the energy among the sensors and protect the individual quantized bits where as the Mary modulation provides optimum energy allocation only among the sensors. The goal is to design a fusion rule and an energy allocation for the nodes subject to a limit on the total energy of all the nodes so as to optimize a cost function. Two cost functions were considered; the probability of error and the Jdivergence distance measure. Probability of error is the most natural criteria used for binary hypothesis testing problem. Distance measure is applied when it is difficult to obtain a closed form for the error probability. Results of optimal energy allocation and the resulting probability of error are presented for the two cost functions. Comparisons are drawn between the two cost functions regarding the fusion rule, energy allocations and the error probability.

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