层叠滤波器的研究进展与分析  

Research and analysis of stack filters

作　　者：赵春晖[1] 

机构地区：[1]哈尔滨工程大学信息与通信工程学院,哈尔滨150001

出　　处：《电子测量与仪器学报》2009年第5期1-10,共10页Journal of Electronic Measurement and Instrumentation

基　　金：国家自然科学基金(编号:60672034)资助项目

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。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 optimization result, which tries to find breakthroughs and promote the research.

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 

分 类 号：TN911.1[电子电信—通信与信息系统]