Analysis on finite length solubility of linear symmetric real blurring kernel and relevant judging algorithm

The paper mainly discusses the finite length solubility of 1-dimension and 2-dimension linear symmetric real blurring kernel function (LSRBKF) applied in signal and image processing. The necessary and sufficient conditions of the finite solubility are proposed and proved then. Given the known LSRBKF, two simple and practicable algorithms for judging whether the finite anti blurring can realize are developed, and positive experiment results are obtained through simulation.