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Method of designing watermark in consideration of wiener attack and whitening filtered detection

机译:考虑维纳攻击和白化滤波检测的水印设计方法

摘要

Disclosed a method of designing a watermark having the power spectral density optimized so that the detection performance can be improved by employing the whitening filtered detection after the Wiener attack. The power spectral density of the watermark is designed using an optimization method that can improve the entire detection performance by reflecting the gain of the whitening filter after the Wiener attack. A higher detection gain is obtained using the whitening filter after the Wiener attack, and the expected value of the difference between test statistics of the two hypotheses that the watermark exists and the watermark does not exist, respectively, is maximized to optimize the detection performance. Regarding the expected value of the difference between the test statistics as an objective function, the power spectral density of the watermark, which corresponds to a maximum differentiated value of the power spectral density of the watermark using the Lagrange multiplier method, is obtained.
机译:公开了一种设计水印的方法,该水印具有优化的功率谱密度,从而可以通过在维纳攻击后采用白化滤波检测来提高检测性能。使用优化方法设计水印的功率谱密度,该优化方法可以通过反映维纳攻击后增白滤波器的增益来改善整个检测性能。在维纳攻击之后,使用白化滤波器可获得更高的检测增益,并且最大化水印存在和水印不存在的两个假设的测试统计量之间的差异的期望值被最大化以优化检测性能。关于测试统计之间的差异的期望值作为目标函数,获得水印的功率谱密度,其对应于使用拉格朗日乘数法的水印的功率谱密度的最大微分值。

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