Title page for ETD etd-07092009-232534

Type of Document Master's Thesis
Author Nadendla, Venkata Sriram Siddhardh
Author's Email Address sidnadendla@gmail.com
URN etd-07092009-232534
Title Secure Distributed Detection in Wireless Sensor Networks via Encryption of Sensor Decisions
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
Guoxiang Gu Committee Member
Xue-Bin Liang Committee Member
  • Distributed Detection
  • Wireless Sensor Networks
  • Security
  • Cipher
  • Quasiconvexity
Date of Defense 2009-06-24
Availability unrestricted
We consider the problem of binary hypothesis testing using a distributed wireless sensor network. Identical binary quantizers are used on the sensor's observations and the outputs are encrypted using a probabilistic cipher. The third party (enemy) fusion centers are unaware of the presence of the probabilistic encipher. We find the optimal (minimum-probability-of-error) fusion rule for the ally (friendly) fusion center subject to a lower bound on the the probability of error for the third-party fusion centers.

To obtain the minimum probability of error, we first prove the quasi-convexity of error probability with respect to the sensor's threshold for a given cipher and show the existence of a unique positive minimum for error probability of the ally fusion center. The threshold corresponding to the minimum error-probability is evaluated numerically and the appropriate cipher that deteriorates the performance of the third-party fusion center below the required limits is obtained.

Our results show that, by adjusting the sensor threshold and the encryption parameters, it is possible to achieve acceptable performance for the ally fusion center while causing significant degradation to the performance of the third party fusion center.

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