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LSU Master's Theses

2009

Electrical and Computer Engineering

Quasiconvexity

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Secure Distributed Detection In Wireless Sensor Networks Via Encryption Of Sensor Decisions, Venkata Sriram Siddhardh Nadendla Jan 2009

Secure Distributed Detection In Wireless Sensor Networks Via Encryption Of Sensor Decisions, Venkata Sriram Siddhardh Nadendla

LSU Master's Theses

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 …