二维带限信号正则重构和外推的快速算法  

A Fast Algorithm for the Regularization Reconstruction and Extrapolation of 2-D Band-Limited Signals

作　　者：王彦飞[1] 肖庭延[2] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所,北京100080 [2]河北工业大学文理学院,天津300130

出　　处：《信号处理》2001年第5期429-435,共7页Journal of Signal Processing

基　　金：河北省自然科学基金资助项目

摘　　要：本文给出用离散正则化方法进行二维带限信号重构和外推的快速算法。其基本思想是将正则化方法与快速Ｆｏｕｒｉｅｒ变换（ＦＦＴ）结合起来，而正则参数的选取则基于偏差原理和作者提出的三阶收敛算法来实现，并进行数值了模拟。计算结果表明本文给出的新算法具有快速、稳定和抑制高频噪音干扰等优点。A Fast algorithm for the extrapolation of 2-D band-limited Signals by using discrete regularization is presented in this paper. The new algorithm integrates reguarization method with 2-D FFT, while the regularized parameter is selected by discrepancy principle and determined numerically by a cubic convergence method. Theoretical analysis and numerical simulation indicates that the new algorithm possesses the advantages of high-speed, good stability and the inhibitation function against the noise of high frequencies.

关 键 词：信号处理 二维带限信号 离散正则化 信号重构 信号外推 快速算法 

分 类 号：TN911.7[电子电信—通信与信息系统]