Optimal Gaussian fingeprint decoders

  • Authors:
  • Pierre Moulin

  • Affiliations:
  • Beckman Inst., Coord. Sci. Lab and ECE Department, University of Illinois at Urbana-Champaign, USA

  • Venue:
  • ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
  • Year:
  • 2009

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Abstract

This paper proposes codes that achieve the fundamental capacity limits of digital fingerprinting subject to mean-squared distortion constraints on the fingerprint embedder and the colluders. We first show that the traditional method of fingerprint decoding by thresholding correlation statistics falls short of this goal: reliable performance is impossible at code rates greater than some value C1 that is strictly less than capacity. To bridge the gap to capacity, a more powerful decoding method is needed. The Maximum Penalized Gaussian Mutual Information decoder presented here meets this requirement. Finally, a mathematical framework and a capacity expression for fingerprinting of social networks are presented.