NDLI: Hermite polynomials as provably good functions to watermark white gaussian hosts

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Embedding with syndrome coding based on BCH codes: The corrected version of this paper is now available as full text. To view the original document as presented in the printed proceedings (with its errors), download the supplemental file

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Hermite polynomials as provably good functions to watermark white gaussian hosts

Content Provider	ACM Digital Library
Author	Furon, Teddy
Abstract	In the watermark detection scenario, also known as zero-bit watermarking, a watermark, carrying no hidden message, is inserted in content. The watermark detector checks for the presence of this particular weak signal in content. The article looks at this problem from a classical detection theory point of view, but with side information enabled at the embedding side: the watermark signal is a function of the host content. Our study is twofold. The first issue is to design the best embedding function for a given detection function (a Neyman-Pearson detector structure is assumed). The second issue is to find the best detection function for a given embedding function. This yields two conditions, which are mixed into one 'fundamental' partial differential equation.Solutions of this fundamental equation are heavily dependent on the probability distribution function of the host signals. This conference paper is an extract of [7], where we only look at white gaussian hosts. This gives birth to polynomials solutions known as Hermite polynomial, whose extension is the JANIS watermarking scheme, invented heuristically some years ago.
Starting Page	224
Ending Page	229
Page Count	6
File Format	PDF
ISBN	1595934936
DOI	10.1145/1161366.1161406
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2006-09-26
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Detection theory Watermarking Pitman noether theorem
Content Type	Text
Resource Type	Article

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