层叠滤波器的研究进展与分析.pdf

更多技术文章，论文请登录 第 23 卷 第 5 期 电子测量与仪器学报 Vol. 23 No. 5 2009 年 5 月 JOURNAL OF ELECTRONIC MEASUREMENT AND INSTRUMENT · 1 · 层叠滤波器的研究进展与分析* 赵春晖 (哈尔滨工程大学信息与通信工程学院, 哈尔滨 150001) 摘 要: 非线性滤波器可有效地处理脉冲噪声、斑点噪声或信号独立噪声, 被广泛地应用在信号和图像处理领域中。层叠 滤波器是一种逐渐兴起的非线性数字滤波器, 它具有阈值分解和层叠性。由于确定层叠滤波器的正布尔函数的长度随变量的增 加呈指数变化, 层叠滤波器的优化设计成为该研究领域的技术难题, 本文对国内外层叠滤波器的基础理论进行分析, 从数学优 化模型、统计特性、输出分布等几个角度进行了综合归纳和分析, 力图为层叠滤波器的优化设计寻找突破点, 加强此领域的研 究力度。 关键词: 层叠滤波器；优化设计；数学优化模型；阈值分解；图像处理 中图分类号: TN911.1 文献标识码: A 国家标准学科分类代码: 510.4050 Research and analysis of stack filters Zhao Chunhui (College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China) Abstract: Nonlinear digital filter have been widely used in many signal and image processing applications since they can effectively deal with involve impulsive, speckle, or signal-dependent noise. Stack filters are a kind of nonlinear digital filters, which satisfy a weak superposition property known as the threshold decomposition and stacking property. Since positive Boolean functions length increase exponentially, optimization design of stack filters have been a difficult problem. This paper generalized and analyzed various methods from mathematical optimization model, design optimi- zation result, which tries to find breakthroughs and promote the research. Keywords: stack filter; optimization design; mathematical optimization model; threshold decomposition; image processing