Additive non-Gaussian noise attacks on the scalar Costa scheme (SCS)

Roman Tzschoppe; Robert Bauml; Robert Fischer; Johannes Huber; Andre Kaup

doi:10.1117/12.587492

21 March 2005 Additive non-Gaussian noise attacks on the scalar Costa scheme (SCS)

Roman Tzschoppe, Robert Bauml, Robert Fischer, Johannes Huber, Andre Kaup

Proceedings Volume 5681, Security, Steganography, and Watermarking of Multimedia Contents VII; (2005) https://doi.org/10.1117/12.587492
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

The additive attack public mutual information game is explicitly solved for one of the simplest quantization based watermarking schemes, the scalar Costa scheme (SCS). It is a zero-sum game played between the embedder and the attacker, and the payoff function is the mutual information. The solution of the game, a subgame perfect nash equilibrium, is found by backward induction. Therefore, the Blahut-Arimoto algorithm is employed for numerically optimizing the mutual information over noise distributions. Although the worst case distribution is in general strongly non-Gaussian, the capacity degradation compared to a suboptimal Gaussian noise attack is quite small. The loss, if the embedder optimizes SCS for a Gaussian attack but the worst case attack is employed, is negligible.

Citation Download Citation

Roman Tzschoppe, Robert Bauml, Robert Fischer, Johannes Huber, and Andre Kaup "Additive non-Gaussian noise attacks on the scalar Costa scheme (SCS)", Proc. SPIE 5681, Security, Steganography, and Watermarking of Multimedia Contents VII, (21 March 2005); https://doi.org/10.1117/12.587492

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