PDE滤波原理与方法*

尹爱军;吴宏钢;秦树人

振动与冲击 ›› 2010, Vol. 29 ›› Issue (10) : 232-235.

PDF(924 KB)
PDF(924 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (10) : 232-235.
论文

PDE滤波原理与方法*

  • 尹爱军1; 吴宏钢1,2; 秦树人1
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Principle and Method of Filtering Based on Partial Differential Equation

  • YIN Aijun1; WU Honggang1,2; QIN Shuren1
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摘要


通过对偏微分方程(Partial differential equation, PDE)基本理论的研究;分析了PDE滤波的基本原理,从理论上探讨了PDE滤波与传统滤波器的相关性;并从传统滤波器的角度出发,解决了PDE滤波的演化时间、迭代次数、调节系数等参数设计问题;分析了PDE滤波的影响因素;采用基本差分格式建立了PDE滤波的迭代式。实验结果表明,PDE滤波方法可有效消除振动信号中的噪声干扰,且去噪之后信号畸变少,同时保持了信号的边缘特性和内部连续性。




Abstract

By studying on the theory of partial differential equation(PDE), the principle of filtering based on PDE is analyzed, and its correlativity with traditional filter is discussed in theory. From the view of traditional filter design, problems of parameters design are solved, such as evolution time, iterative time, modulation coefficient. Influencing factors of PDE filtering are analyzed. Taking advantage as base difference format, iterative equation is constructed. Experiments show that the method could effectively eliminate the noise disturbing , also avoid signal distortions after denoise, and at the same time keep the edge property and continuity.

关键词

偏微分方程 / 滤波 / 原理 / 方法

Key words

Partial differential equation / Filtering / Principle / Method

引用本文

导出引用
尹爱军;吴宏钢;秦树人. PDE滤波原理与方法*[J]. 振动与冲击, 2010, 29(10): 232-235
YIN Aijun;WU Honggang;QIN Shuren. Principle and Method of Filtering Based on Partial Differential Equation[J]. Journal of Vibration and Shock, 2010, 29(10): 232-235

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