基于动态系统方法的二维带限信号外推算法

Algorithm for Extrapolation of 2-D Band-limited Signals Based on Dynamical Systems Method

提出了基于动态系统方法(Dynamical Systems Method)的二维带限信号重构外推算法.其核心部分在于用动态系统方法对离散后的Fredholm积分方程进行求解,相对于离散正则化方法而言,这样构造的外推算法具有较好的抗噪声能力,能提高计算精度并有效地降低计算量.最后通过计算机仿真对算法的可行性进行了验证。

A new algorithm for extrapolation of 2-D band-limited signals by using dynamical systems method was proposed. The key part of the algorithm is that the Fredholm integral equation is solved by dynamical systems method （DSM）, which is a newly developed method for solving ill-posed operator equations. Compared with the discrete regularization method, this algorithm is more robust. It improves the accuracy for extrapolation and needs much less computation amount. The practicability of the algorithm was justified by computer simulation.