ECRB-Based Optimal Parameter Encoding Under Secrecy Constraints

作者：Goken Cagri; Gezici Sinan^*

来源：IEEE Transactions on Signal Processing, 2018, 66(13): 3556-3570.

DOI：10.1109/TSP.2018.2833802

• Parameter estimation
• Cramer-Rao bound (CRB)
• secrecy
• optimization

In this paper, optimal deterministic encoding of a scalar parameter is investigated in the presence of an eavesdropper. The aim is to minimize the expectation of the conditional Cramer-Rao bound at the intended receiver while keeping the mean-squared error (MSE) at the eavesdropper above a certain threshold. First, optimal encoding functions are derived in the absence of secrecy constraints for any given prior distribution on the parameter. Next, an optimization problem is formulated under a secrecy constraint and various solution approaches are proposed. Also, theoretical results on the form of the optimal encoding function are provided under the assumption that the eavesdropper employs a linear minimum mean-squared error (MMSE) estimator. Numerical examples are presented to illustrate the theoretical results and to investigate the performance of the proposed solution approaches.

• 出版日期2018-7-1