title: Randomization of the Fourier transform.
abstract: We have investigated the multiplicity and complexity in eigenvalues of the fractional Fourier transform and found that the ambiguity of the eigenvalues may indicate randomness. We have therefore proposed a method to randomize the Fourier transform. Such a random Fourier transform can be applied in the field of image encryption and decryption.
authors: Department of Physics, Harbin Institute of Technology, Harbin, 150001 China.
authors: Zhengjun
authors: Z
authors: Liu
authors: Shutian
authors: S
authors: Liu
mesh_terms: D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D055095:Optics and Photonics