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      Optimal parameter encoding based on worst case fisher information under a secrecy constraint

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      Author(s)
      Göken, Ç.
      Gezici, Sinan
      Date
      2017
      Source Title
      IEEE Signal Processing Letters
      Print ISSN
      1070-9908
      Publisher
      Institute of Electrical and Electronics Engineers Inc.
      Volume
      24
      Issue
      11
      Pages
      1611 - 1615
      Language
      English
      Type
      Article
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      Abstract
      In this letter, optimal deterministic encoding of a uniformly distributed scalar parameter is performed in the presence of an eavesdropper. The objective is to maximize the worst case Fisher information of the parameter at the intended receiver while keeping the mean-squared error (MSE) at the eavesdropper above a certain level. The eavesdropper is modeled to employ the linear minimum MSE estimator based on the encoded version of the parameter. First, the optimal encoding function is derived when there exist no secrecy constraints. Next, to obtain the solution of the problem in the presence of the secrecy constraint, the form of the encoding function that maximizes the MSE at the eavesdropper is explicitly derived for any given level of worst case Fisher information. Then, based on this result, a low-complexity algorithm is provided to calculate the optimal encoding function for the given secrecy constraint. Finally, numerical examples are presented.
      Keywords
      Fisher information
      Mean-squared error (MSE)
      Optimization
      Parameter estimation
      Secrecy
      Permalink
      http://hdl.handle.net/11693/37116
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/LSP.2017.2749517
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      • Department of Electrical and Electronics Engineering 3868
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