Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 70, Issue -, Pages 4093-4108Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2022.3198180
Keywords
Cramer-Rao lower bound (CRLB); estimation; Fisher information; parameter encoding; power allocation; secrecy
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This article focuses on the secure transmission of a deterministic vector parameter from a transmitter to an intended receiver in the presence of a smart eavesdropper. It provides theoretical insight into the optimal power allocation and optimal linear encoding strategies to maximize the estimation performance at the intended receiver.
In this article, we consider secure transmission of a deterministic vector parameter from a transmitter to an intended receiver in the presence of a smart eavesdropper. The aim is to determine the optimal power allocation and optimal linear encoding strategies at the transmitter to maximize the estimation performance at the intended receiver under constraints on the estimation performance at the eavesdropper and on the transmit power. First, the A-optimality criterion is adopted by utilizing the Cramer-Rao lower bound as the estimation performance metric, and the optimal power allocation and optimal linear encoding strategies are characterized theoretically. Then, corresponding to the D-optimality criterion, the determinant of the Fisher information matrix is considered as the estimation performance metric. It is shown that the optimal linear encoding and optimal power allocation strategies lead to the same solution for this criterion. In addition, extensions of the theoretical results are provided to cases with statistical knowledge of systems parameters. Numerical examples are provided to investigate the optimal power allocation and optimal linear encoding strategies in different scenarios.
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