Two-dimensional FIR notch filter design using singular value decomposition

S. -C. Pei; W. -S. Lu; C. -C. Tseng

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Two-dimensional FIR notch filter design using singular value decomposition

机译：采用奇异值分解的二维FIR陷波滤波器设计

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摘要

This paper is concerned with the two-dimensional (2-D) linear-phase FIR notch filter-design problem. First, the singular value decomposition (SVD) is used to reduce the 2-D notch filter-design problem to two pairs of one-dimensional (1-D) filterdesign problems. Then, we derive an analytic least-squares solution for the design of two pairs of 1-D linear-phase FIR filters. Again, the coefficients of the filter designed are given by closed-form formulas and the filter gain at the notch frequenciesis exactly zero. One example is included to illustrate the proposed design methods. To demonstrate the usefulness of the 2-D notch filters designed, the 2-D notch filter is applied to eliminate the sinusoidal interference superimposed on an image.

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来源
《IEEE Transactions on Automatic Control》 |1998年第3期|290-294|共5页
作者
S. -C. Pei; W. -S. Lu; C. -C. Tseng;
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原文格式 PDF
正文语种英语
中图分类自动化系统;
关键词
Interference removal; Singular value decomposition; 2-D FIR notch filter;

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Two-dimensional FIR notch filter design using singular value decomposition

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