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

LAI Chun-lu; YAO Tong; WANG Lu

doi:10.12263/DZXB.20200289

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

更新时间：2025-12-08

- Optimal Design of Finite Impulse Response Flat Digital Differentiators with Reduced Group Delay
- Acta Electronica Sinica Vol. 49, Issue 3, Pages: 477-483(2021)
- 作者机构：
  
  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
  3. 哈尔滨工业大学(威海)信息科学与工程学院,山东,威海,264209
  4. 山东大学(威海)山东大学澳国立联合理学院,山东,威海,264209
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20200289
  CLC： TN79
- Published Online：25 March 2021，
  
  Published：2021
- 稿件说明：
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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.
DOI：

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. DOI： 10.12263/DZXB.20200289.

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.

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.

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