The Fractional Fourier Transform and its Application to Digital Image Watermarking

The fractional Fourier transform is an important tool to signal processing tasks such as image analysis, machine vision and pattern recognition. In this paper, we studied the main properties of the fractional Fourier transform. And applying these properties to digital watermarks, we propose a new digital image watermarking method. The theoretical analysis and experimental results show that the proposed method has strong robustness against a large number of watermark attacks, namely, it can improve security and robustness of the watermarking. Numerical simulations have also been performed to verify the efficiency of the proposed method.