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

作　　者：赖春露 姚统 王路 LAI Chun-lu;YAO Tong;WANG Lu(School of Information Science and Engineering,Harbin Institute of Technology (Weihai),Weihai,Shandong 264209,China;SDU-ANU Joint Science College,Shandong University (Weihai),Weihai,Shandong 264209,China)

机构地区：[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

出　　处：《电子学报》2021年第3期477-483,共7页Acta Electronica Sinica

基　　金：国家自然科学基金(No.61573123);山东省自然科学基金(No.ZR2020MF077)。

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.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.

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 

分 类 号：TN79[电子电信—电路与系统]