Design of digital watermarking system robust to the number of removal attacks

In this paper it is proved that in fact the zero-bit digital watermarking system based on local maxima embedding in frequency area heuristically proposed recently is resistant to a number of removal attacks. It is shown how the watermark can survive after such conversions as shift cropping rescaling rotation and jpeg transform. The theoretical base of each transformation is given. Also it is shown how the image Fourier amplitude spectrum is affected by the image distortions and how the watermark can overcome those distortions and stay untouched.