无WSS假设的随机向量模型能量有效水印条件
Condition for Energy Efficient Watermarking with Random Vector Model without WSS Assumption
摘要：
能量有效水印在受到线性攻击后尽可能地保留水印能量。我们认为在这封信中的非平稳信号模型和推导出的条件下，能量有效的水印随机向量模型没有WSS假设。我们发现，能量有效的水印的协方差矩阵应该是成比例的主机协方差矩阵，以最好地抵抗最佳线性删除攻击。在WSS过程中，我们的结果减少到众所周知的功率谱条件。直观的几何解释的结果也进行了讨论，这反过来也提供了更简单的证明的主要结果。
英文摘要：
Energy efficient watermarking preserves the watermark energy after linear attack as much as possible. We consider in this letter non-stationary signal models and derive conditions for energy efficient watermarking under random vector model without WSS assumption. We find that the covariance matrix of the energy efficient watermark should be proportional to host covariance matrix to best resist the optimal linear removal attacks. In WSS process our result reduces to the well known power spectrum condition. Intuitive geometric interpretation of the results are also discussed which in turn also provide more simpler proof of the main results.
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