Gabor transform applied to superresolution in optical systems

Abstract

Taking into account that the Gabor transform is the Fourier transform of the multiplication of the transfer function of a system with the Fourier transform of the input signal to the system, was developed and implemented digital and optically a system that achieves optical Gabor transform, if we consider the situation when the spectral transfer function becomes very narrow and applies to images this technique will enable one to overcome the instrumental limitations of the optical system, reaching superresolution.