Ultra-resolution and indication of objects

Abstract

If the object is a point whose presentation being the delta-function d, then we have at the output the receiving system: Point Spread Function (PSF) O=O*d, asterisk denoting a convolution. We have developed the ultra-resolution method. It enables us to solve the problem of the inversion for distortion of PSF R*O~d, where R is resolving function [1,2]. Let T be a image of the object-target. Then its image at the output of the receiving system is O*T. The following problem is set forth: it is necessary to construct a function R such that should be valid the following statement: R*(O*T) ~d(r-r0). The obtained function R enables us to convert the receiving image O*T into delta-function d(r-r0) which refers to the definite point r=r0 of the object-target T [3]. The concept of characteristic is introduced in order to optimize object-targeting system. The method may be embedded in the active radar or passive multi-rays radio-vision systems for resolving and for point indication of object-targets. There are numerous examples of the solutions to the model problems.