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      Estimation theoretic optimal encoding design for secure transmission of multiple parameters

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      Author
      Göken, Çağrı
      Gezici, Sinan
      Arıkan, Orhan
      Date
      2019-08-15
      Source Title
      IEEE Transactions on Signal Processing
      Print ISSN
      1053-587X
      Electronic ISSN
      1941-0476
      Publisher
      IEEE
      Volume
      67
      Issue
      16
      Pages
      4302 - 4316
      Language
      English
      Type
      Article
      Item Usage Stats
      132
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      116
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      Abstract
      In this paper, optimal deterministic encoding of a vector parameter is investigated in the presence of an eavesdropper. The objective is to minimize the expectation of the conditional Cramér-Rao bound at the intended receiver, while satisfying an individual secrecy constraint on the mean-squared error of estimating each parameter at the eavesdropper. The eavesdropper is modeled to employ the linear minimum mean-squared error estimator based on the noisy observation of the encoded parameter without being aware of encoding. First, the problem is formulated as a constrained optimization problem in the space of vector-valued functions. Then, two practical solution strategies are developed based on nonlinear individual encoding and affine joint encoding of parameters. Theoretical results on the solutions of the proposed strategies are provided for various scenarios on channel conditions and parameter distributions. Finally, numerical examples are presented to illustrate the performance of the proposed solution approaches.
      Keywords
      Fisher information matrix (FIM)
      Parameter estimation
      Cramér-rao bound (CRB)
      Secrecy
      Optimization
      Permalink
      http://hdl.handle.net/11693/53074
      Published Version (Please cite this version)
      https://doi.org/10.1109/TSP.2019.2929921
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      • Department of Electrical and Electronics Engineering 3524
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