| 二维带限信号正则重构和外推的快速算法 |
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| 引用本文： | 王彦飞,肖庭延. 二维带限信号正则重构和外推的快速算法[J]. 信号处理, 2001, 17(5): 429-435 |
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| 作者姓名： | 王彦飞 肖庭延 |
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| 作者单位： | 王彦飞（中国科学院计算数学与科学工程计算研究所,北京,100080） 肖庭延（河北工业大学文理学院,天津,300130） |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 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.
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| 关 键 词： | 快速算法 离散正则化方法 二维快速Fourier变换 带限信号重构和外推 |
A Fast Algorithm for the Regularization Reconstruction and Extrapolation of 2-D Band-Limited Signals |
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| Wang Yanfei. A Fast Algorithm for the Regularization Reconstruction and Extrapolation of 2-D Band-Limited Signals[J]. Signal Processing(China), 2001, 17(5): 429-435 |
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| Authors: | Wang Yanfei |
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| Abstract: | 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. |
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| Keywords: | Discrete Regularization Method 2-D Discrete Fourier Transform Extrapolation Band Limited Signals |
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