低延迟有限冲激响应平坦数字微分器的优化设计

doi:10.12263/DZXB.20200289

电子学报 ›› 2021, Vol. 49 ›› Issue (3): 477-483.DOI: 10.12263/DZXB.20200289

低延迟有限冲激响应平坦数字微分器的优化设计

赖春露¹, 姚统¹, 王路²

1. 哈尔滨工业大学(威海)信息科学与工程学院, 山东威海 264209;
2. 山东大学(威海)山东大学澳国立联合理学院, 山东威海 264209

收稿日期:2020-03-23 修回日期:2020-08-13 出版日期:2021-03-25
- 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)信息科学与工程学院工程师.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;姚统男,1988年6月生于河南郑州,现为哈尔滨工业大学(威海)信息科学与工程学院工程师.主要研究方向为智能感知与无人系统、机器人控制、变频驱动技术.E-mail:yaotong@hit.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61573123）; 山东省自然科学基金 (No.2R2020MF077）

Optimal Design of Finite Impulse Response Flat Digital Differentiators with Reduced Group Delay

LAI Chun-lu¹, YAO Tong¹, WANG Lu²

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

Received:2020-03-23 Revised:2020-08-13 Online:2021-03-25 Published:2021-03-25
- Corresponding author:
- WANG Lu
- Supported by:
- National Natural Science Foundation of China (No.61573123); Natural Science Foundation of Shandong Province, China (No.2R2020MF077)

摘要/Abstract

摘要： 为满足实际应用对窄带信号高精度微分及微分系统低常延迟的需求，本文提出平坦低延迟有限冲激响应数字微分器的优化设计算法，在平坦性和相位误差约束下对最大幅值逼近误差进行最小化.利用线性方程通解表达式来消除平坦约束，确保了微分器的平坦度要求.利用群延迟误差对相位误差重加权，降低了微分器的通带群延迟误差.设计例子及与文献方法的比较，展现了本文方法的有效性和优越性.

关键词: 数字微分器, 窄带滤波器, 最大平坦滤波器, 多普勒滤波器, 低时延, 滤波器设计

Abstract: To satisfy the requirement on high-precision differentiation of narrow-band signals and low delay of the differentiator, this paper presents a design method for low-delay finite impulse response flat digital differentiators. The method minimizes the maximum magnitude error subject to flatness and phase-error constraints on the differentiator. By eliminating the flatness constraint with the general solution of linear equations, we ensure that the differentiator has desired flatness degrees. By reweighting the phase error with group-delay error, the method reduces the passband group-delay error of the differentiator. Design examples and comparisons with literature methods show the effectiveness and superiority of the proposed method.

Key words: digital differentiator, narrow-band filter, maximally flat filter, Doppler filter, low delay, filter design

中图分类号:

TN79

赖春露, 姚统, 王路. 低延迟有限冲激响应平坦数字微分器的优化设计[J]. 电子学报, 2021, 49(3): 477-483.

LAI Chun-lu, YAO Tong, WANG Lu . Optimal Design of Finite Impulse Response Flat Digital Differentiators with Reduced Group Delay[J]. Acta Electronica Sinica, 2021, 49(3): 477-483.

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低延迟有限冲激响应平坦数字微分器的优化设计

Optimal Design of Finite Impulse Response Flat Digital Differentiators with Reduced Group Delay

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