On the Possibilities of Encoding Digital Images Using Fractional Fourier Transform

Abstract

Data encryption is becoming increasingly relevant with the development of digital technologies. A particularly promising direction is the development of encryption methods based on optical transformations. Fractional Fourier Transform is a well-known method of encoding data, especially graphic. However, an assessment of the method’s resistance to unauthorized data decryption has not been carried out until the present moment. In this work we describe a method of encoding images based on a fractional Fourier transform, a method of decoding an image based on a classical Fourier transform, and also estimate the probability of decoding an image using its fractional Fourier transform spectrum.