二维DFT域全相位数字滤波器设计与实现

Design and Implementation of 2D All-Phase Filter in DFT Domain

一维全相位数字信号处理已经在谱分析、自适应、模板设计、滤波器组分析与综合等领域得到应用,但对于二维全相位理论的推导很少而且没有实现的方法.因此,本文在一维全相位信号处理方法的基础上,首先系统地分析二维全相位信号处理模式,理论推导出无窗、单窗和双窗模式下传输函数表达式;其次,首次设计出二维全相位处理的系统实现框图,并对算法复杂度进行了优化分析;还有,对二维全相位信号处理的性质进行了分析;最后,借助MATLAB实现了DFT滤波器设计并画出3D特性曲面,完成设计二维DFT全相位滤波器的理论、方法和实验验证.

1D all-phase digital processing method has been applied in such fields as spectrum analysis,adaptive processing,template design and filter bank analysis synthesis. However,the progress of researches on 2D all-phase is so slowthat there are no implementation methods yet. Due to the above,this paper firstly analyzes the 2D all-phase signal processing mode to deduce out 2D all-phase filter with convolution windows; Secondly,the implementation structure of 2D all-phase processing is given and thealgorithm is optimized as well. Thirdly,2 important characteristics of 2D all-phase filter are discussed; finally,3D transmission curves are drawn out based on M ATLAB. Summarizedly,this paper completes designing 2D all-phase digital filter theoretically,implementation method and experimental verification.