A new image/video encryption scheme based on fractional discrete Tchebichef transform and singular value decomposition

One of the major application areas of the fractional-order discrete transform (FrDTs) is in signal and information security, particularly in signal and image/video encryption. Recently, many researchers proposed techniques that implemented not only the fractional transforms, but also various randomized versions of the FrDTs, which add more security features to signal's encryption. In this paper, we propose a new image/video encryption scheme based on fractional-order discrete Tchebichef transform (FrDTT) using singular value decomposition. The FrDTTs are derived algebraically using the spectral decomposition of discrete Tchebichef polynomials, then the singular value decomposition technique in order to build a basic set of orthonormal eigenvectors which help to develop FrDTTs. Finally, we implement and apply the scheme proposed in this paper for encrypting test images and video sequences. Moreover, we methodically perform the security evaluation in terms of brute force and statistical attacks as well as comparisons with the existing methods in terms of secret key sensitivity and space. The promising experiment results demonstrate the effectiveness and efficiency of our proposed FrDTTs based image encryption techniques.