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      ECRB-based optimal parameter encoding under secrecy constraints

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      Author
      Göken, Ç.
      Gezici, Sinan
      Date
      2018
      Source Title
      IEEE Transactions on Signal Processing
      Print ISSN
      1053-587X
      Electronic ISSN
      1941-0476
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      66
      Issue
      13
      Pages
      3556 - 3570
      Language
      English
      Type
      Article
      Item Usage Stats
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      96
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      Abstract
      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 Cramér-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.
      Keywords
      Cramer-Rao bound (CRB)
      Optimization
      Parameter estimation
      Secrecy
      Permalink
      http://hdl.handle.net/11693/50287
      Published Version (Please cite this version)
      https://doi.org/10.1109/TSP.2018.2833802
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      • Department of Electrical and Electronics Engineering 3524
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