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.
出处
《电子测量与仪器学报》
CSCD
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
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
stack filter
optimization design
mathematical optimization model
threshold decomposition
image processing