Département de Télécommunication, Faculté d'Electronique et Informatique, Université USTHB, BP. 32, Bab-Ezzouar, 16111, Algeria; Laboratoire de Traitement du Signal Département d'Electronique Université des Frères Mentouri Constantine Route Ain El-bey, Constantine 25000, Algeria.
Laboratoire de Traitement du Signal Département d'Electronique Université des Frères Mentouri Constantine Route Ain El-bey, Constantine 25000, Algeria.
ISA Trans. 2018 Nov;82:73-78. doi: 10.1016/j.isatra.2018.03.021. Epub 2018 Apr 5.
Fractional delay filters modeling non-integer delays are digital filters which ideally have flat group delays. In this letter, a new, simple, accurate and efficient FIR filter design to implement the digital ideal fractional delay is presented. The design technique is based on the MacLaurin series expansion formula which is applied to a given function to obtain a closed form FIR digital filter approximation of the digital ideal fractional delay operator z. The obtained FIR filter approximation formula of the digital ideal fractional delay operator z is similar to the well known Grünwald-Letnikov FIR digital filter approximation formula of the ideal analog fractional differentiator s. Some examples have been presented to illustrate the performance and the effectiveness of this new design method. Some comparisons results show that the proposed design yields better performances than the existing designs in the literature.
分数延迟滤波器建模非整数延迟是数字滤波器，理想情况下具有平坦的群延迟。在这封信中，提出了一种新的、简单的、准确的和有效的 FIR 滤波器设计方法，以实现数字理想分数延迟。设计技术基于 Maclaurin 级数展开公式，将其应用于给定函数，以获得数字理想分数延迟算子 z 的闭式 FIR 数字滤波器逼近。所得到的数字理想分数延迟算子 z 的 FIR 滤波器逼近公式类似于理想模拟分数微分器 s 的著名的 Grünwald-Letnikov FIR 数字滤波器逼近公式。已经提出了一些示例来说明这种新设计方法的性能和有效性。一些比较结果表明，与文献中的现有设计相比，所提出的设计具有更好的性能。
