Abstract
This paper deals with the statistical analysis of the behavior of a blind robust watermarking system based on pseudorandom signals embedded in the magnitude of the Fourier transform of the host data. The host data that the watermark is embedded into is one-dimensional and non-white, following a specific probability model. The analysis performed involves theoretical evaluation of the statistics of the Fourier coefficients and the design of an optimal detector for multiplicative watermark embedding. Finally, experimental results are presented in order to show the performance of the proposed detector versus that of the correlator detector.
Highlights
The risk of illegal copying, reproduction, and distribution of copyrighted multimedia material is becoming more threatening with the all-digital evolving solutions adopted by content providers, system designers, and users
The watermarks must be robust to distortions, such as those caused by image processing algorithms
We propose to execute the above procedure for representative signal sets and for the chosen embedding power in a particular application
Summary
The risk of illegal copying, reproduction, and distribution of copyrighted multimedia material is becoming more threatening with the all-digital evolving solutions adopted by content providers, system designers, and users. The correlator detector is optimal and minimizes the error probability only in cases when the signal follows a Gaussian distribution. In [24, 25], the watermark is embedded in the magnitude of the DFT domain In this case, the authors assume that the Fourier magnitude does not follow the generalized Gaussian distribution. The authors assume that the Fourier magnitude does not follow the generalized Gaussian distribution They propose the Weibull one, due to the facts that its support domain is the set of the positive real numbers and that it represents a big probability distribution family. The signal model is presented and the distribution of DFT magnitude coefficients is shown.
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