Capacity of Additive Colored Noise Watermarking Channel with Perceptual Distortion Measure

We analyze in this paper the capacity of colored Gaussian noise watermarking channel with perceptual distortion measure. It is shown that this capacity is independent of the noise covariance matrix. The capacity achieving distribution is Gaussian with covariance matrix proportional to the host covariance matrix. Namely, the capacity achieving input satisfies the power spectrum condition for energy efficient watermarking.