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Proceedings Article

Cramer-Rao bound on watermark desynchronization parameter estimation accuracy

[+] Author Affiliations
Shankar Sadasivam, Pierre Moulin

Beckman Institute, Univ. of Illinois at Urbana-Champaign

Proc. SPIE 6505, Security, Steganography, and Watermarking of Multimedia Contents IX, 65050H (February 27, 2007); doi:10.1117/12.705481
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From Conference Volume 6505

  • Security, Steganography, and Watermarking of Multimedia Contents IX
  • Edward J. Delp III; Ping Wah Wong
  • San Jose, CA, USA | January 28, 2007

abstract

Various decoding algorithms have been proposed in the literature to combat desynchronization attacks on quantization index modulation (QIM) blind watermarking schemes. Nevertheless, these results have been fairly poor so far. The need to investigate fundamental limitations on the decoder's performance under a desynchronization attack is thus clear. In this paper, we look at the class of estimator-decoders which estimate the desynchronization attack parameter(s) for using in the decoding step. We model the desynchronization attack as an arbitrary (but invertible) linear time-invariant (LTI) system. We then come up with an encoding-decoding scheme for these attacks on cubic QIM watermarking schemes, and derive Cramer-Rao bounds on the estimation error for the desynchronization parameter at the decoder. As an example, we consider the case of a cyclic shift attack and present some numerical findings.

© (2007) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Shankar Sadasivam and Pierre Moulin
"Cramer-Rao bound on watermark desynchronization parameter estimation accuracy", Proc. SPIE 6505, Security, Steganography, and Watermarking of Multimedia Contents IX, 65050H (February 27, 2007); doi:10.1117/12.705481; http://dx.doi.org/10.1117/12.705481


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