DFRFT based on the eigen decomposition of the DFT matrix, a DFRFT with one fractional parameter was defined by taking fractional eigen value powers of an eigen decomposition of the DFT matrix. The DFT eigenvectors

886  Abstract— Growing with the fast evolution of digital data exchange, security information becomes much important in data storage and transmission. Due to the increasing use of images in industrial process, it is essential to protect the confidential image data from unauthorized access. The security system based on the fractional Fourier transform (FRFT) is protected by only a certain order of FRFT. In this paper, we proposed a novel method to encrypt an image by using Discrete Fourier Transform (DFT) and Fractional Fourier Transform (FRFT). In this paper, we analyze the image encryption using DFT and FRFT based on double random phase matrix. The implementation of both techniques has been realized for experimental purposes. Detailed results in terms of security analysis and implementation are given. Comparative study with traditional encryption algorithms is shown the superiority. The proposed encoding scheme significantly enhances the data security in comparatively than DFT and FRFT.