On the error region for channel estimation-based physical layer authentication over rayleigh fading

Augusto Ferrante, Nicola Laurenti, Chiara Masiero, Michele Pavon, Stefano Tomasin

Research output: Contribution to journalArticlepeer-review


For a physical layer message authentication procedure based on the comparison of channel estimates obtained from the received messages, we focus on an outer bound on the type I/II error probability region. Channel estimates are modeled as multivariate Gaussian vectors, and we assume that the attacker has only some side information on the channel estimate, which he does not know directly. We derive the attacking strategy that provides the tightest bound on the error region, given the statistics of the side information. This turns out to be a zero mean, circularly symmetric Gaussian density whose covariance matrices can be obtained by solving a constrained optimization problem. We propose an iterative algorithm for its solution: starting from the closed-form solution of a relaxed problem, we obtain, by projection, an initial feasible solution; then, by an iterative procedure, we look for the fixed-point solution of the problem. Numerical results show that for cases of interest the iterative approach converges, and perturbation analysis shows that the found solution is a local minimum.

Original languageEnglish (US)
Article number7010914
Pages (from-to)941-952
Number of pages12
JournalIEEE Transactions on Information Forensics and Security
Issue number5
StatePublished - May 1 2015


  • Authentication
  • Hypothesis testing
  • Physical layer security
  • Rayleigh fading channels

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Computer Networks and Communications


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