Watermarking error exponents in the presence of noise: The case of the dual hypercone detector

Teddy Furon 1
1 LinkMedia - Creating and exploiting explicit links between multimedia fragments
Inria Rennes – Bretagne Atlantique , IRISA-D6 - MEDIA ET INTERACTIONS
Abstract : The study of the error exponents of zero-bit watermarking is addressed in the article by Comesana, Merhav, and Barni, under the assumption that the detector relies solely on second order joint empirical statistics of the received signal and the watermark. This restriction leads to the well-known dual hypercone detector, whose score function is the absolute value of the normalized correlation. They derive the false negative error exponent and the optimum embedding rule. However, they only focus on high SNR regime, i.e. the noiseless scenario. This paper extends this theoretical study to the noisy scenario. It introduces a new definition of watermarking robustness based on the false negative error exponent, derives this quantity for the dual hypercone detector, and shows that its performances is almost equal to Costa's lower bound.
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Teddy Furon. Watermarking error exponents in the presence of noise: The case of the dual hypercone detector. IH&MMSEC'19 - 7th ACM Workshop on Information Hiding and Multimedia Security, Jul 2019, Paris, France. pp.173-181, ⟨10.1145/3335203.3335731⟩. ⟨hal-02122206⟩

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