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

SU Fei; CAO Ji-hua; DUAN Yu-xiang

doi:10.3969/j.issn.0372-2112.2015.11.006

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

更新时间：2025-07-16

- Design and Implementation of 2D All-Phase Filter in DFT Domain
- Acta Electronica Sinica Vol. 43, Issue 11, Pages: 2172-2179(2015)
- 作者机构：
  
  1. 天津理工大学电信学院,天津,300384
  2. 天津技术师范大学电子信息工程学院,天津,300391
  3. 天津理工大学电信学院,天津,300384
  4. 天津技术师范大学电子信息工程学院,天津,300391
- 作者简介：
- 基金信息：
  
  High Level Talent Introduction Fund of Tianjin University of Technology (No.106562013055);Fund of National College Students’ Innovation and Entrepreneurship Training Programs (No.201410060017)
- DOI：10.3969/j.issn.0372-2112.2015.11.006
  CLC： TN9
- Published：2015
- 稿件说明：
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SU Fei, CAO Ji-hua, DUAN Yu-xiang. Design and Implementation of 2D All-Phase Filter in DFT Domain[J]. Acta Electronica Sinica, 2015, 43(11): 2172-2179.
DOI：

SU Fei, CAO Ji-hua, DUAN Yu-xiang. Design and Implementation of 2D All-Phase Filter in DFT Domain[J]. Acta Electronica Sinica, 2015, 43(11): 2172-2179. DOI： 10.3969/j.issn.0372-2112.2015.11.006.

摘要

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.

Abstract

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 slow that 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 MATLAB.Summarizedly

this paper completes designing 2D all-phase digital filter theoretically

implementation method and experimental verification.

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