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Based on Fractional Fourier Transform Digital Watermarking

Author: TianRuiQing
Tutor: PangYanBin
School: Beijing University of Chemical Technology
Course: Applied Computer Technology
Keywords: Fractional Fourier Transform Digital watermarking Chirp signal
CLC: TP309
Type: Master's thesis
Year: 2006
Downloads: 336
Quote: 3
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Abstract


In this paper, four based on fractional Fourier transform digital watermarking algorithm. Experimental results show that the image distortion is small , but also has better robustness . For grayscale image watermarking, first gray image of 32 × 32 to the original signal is embedded as a watermark image on the visual component of the secondary key . Second, the 32 × 32 grayscale image as a watermark signal four different orders of fractional Fourier transform , respectively, superimposed on the original image fractional Fourier domain four different positions , and then through fractional Fourier inverse transform watermark image , after an attack on the watermark image extracted watermark signal averaging , to balance the watermark distortion. Linear FM signal at a fractional-order fractional Fourier domain showing the principle of energy gathered proposed based on fractional Fourier transform chirp signal watermarking algorithm. First, 128 × 128 two-dimensional Chirp pulse signal at ( 0,1 ) carried out within the scope of successive fractional Fourier transform, fractional Fourier domain by the amplitude squared size peak search , and record the corresponding transformation order . Use of the Chirp pulse signal as a watermark , embed it into the center of the original image , and then subjected to various attacks in the image extraction , and extracted watermark signal with the original signal corresponding to the maximum of the order of fractional Fourier transform , search for the maximum value and the maximum value is compared with the original signal . Second, the order of the original image for a certain fraction of Fourier transformation, the 128 × 128 Chirp signal as a two-dimensional original image watermark fractional Fourier domain , and then the inverse transform

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