近似线性相位全通数字滤波器的迭代重加权Minimax设计

doi:10.3969/j.issn.0372-2112.2020.04.016

电子学报 ›› 2020, Vol. 48 ›› Issue (4): 743-750.DOI: 10.3969/j.issn.0372-2112.2020.04.016

近似线性相位全通数字滤波器的迭代重加权Minimax设计

赖春露¹, 王路²

1. 哈尔滨工业大学(威海)信息与电气工程学院, 山东威海 264209;
2. 山东大学澳国立联合理学院, 山东威海 264209

收稿日期:2018-10-31 修回日期:2019-08-21 出版日期:2020-04-25
- 通讯作者:
- 王路
- 作者简介:
- 赖春露 女,1989年4月生于山东威海.现为哈尔滨工业大学(威海)信息与电气工程学院工程师.主要研究方向为信号处理、滤波器设计、数字图像处理.E-mail:laicl_ruby@hitwh.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61573123）

An Iterative Reweighted Minimax Design of All-pass Filters for Nearly Linear Phases

LAI Chun-lu¹, WANG Lu²

1. School of Information and Electrical Engineering, Harbin Institute of Technology (Weihai), Weihai, Shandong 264209, China;
2. SDU-ANU Joint Science College, Shandong University (Weihai), Weihai, Shandong 264209, China

Received:2018-10-31 Revised:2019-08-21 Online:2020-04-25 Published:2020-04-25
- Corresponding author:
- WANG Lu
- Supported by:
- National Natural Science Foundation of China (No.61573123)

摘要/Abstract

摘要： 近似线性相位是许多滤波系统希望具有的重要特性，全通滤波器则是实现这个特性的重要技术手段.提出全通数字滤波器的一种迭代重加权minimax设计方法，最小化最大加权线性相位偏差，并利用群延迟偏差信息对权函数进行迭代更新，使群延迟偏差函数近似等纹波.为展现该方法的优越性，将该方法应用于线性相位希尔伯特变换器及相位均衡器的设计.设计例子展示了算法良好的收敛性，以及在实现滤波系统近似线性相位和近似常数群延迟方面的优良性能.

关键词: 全通数字滤波器, 相位均衡器, 希尔伯特变换器, 线性相位

Abstract: Linear phases are often a requisite in many signal filtering applications. All-pass digital filters are the main device to realize the linear phases. An iterative reweighted minimax method is proposed for the design of all-pass digital filters. The method minimizes the maximum weighted phase deviation from some linear phase, and reduces the maximum group-delay deviation from some constant group delay through updating the phase-error weight function iteratively by virtue of the group-delay deviation. To demonstrate its advantages, the proposed method is applied in the designs of phase equilizers and linear-phase Hilbert transformers. Simulation results show that the proposed algorithm has good convergence properties, and is very effective in realizing the nearly linear phase and nearly constant group delay of the filtering system.

Key words: all-pass filter, phase equalizer, Hilbert transformer, linear phase

中图分类号:

TN79

赖春露, 王路. 近似线性相位全通数字滤波器的迭代重加权Minimax设计[J]. 电子学报, 2020, 48(4): 743-750.

LAI Chun-lu, WANG Lu . An Iterative Reweighted Minimax Design of All-pass Filters for Nearly Linear Phases[J]. Acta Electronica Sinica, 2020, 48(4): 743-750.

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近似线性相位全通数字滤波器的迭代重加权Minimax设计

An Iterative Reweighted Minimax Design of All-pass Filters for Nearly Linear Phases

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