Finite-impulse-response digital differentiators for midband frequencies based on maximal linearity constraints

被引：19

作者：

Khan, Ishtiaq Rasool ^{[1
]}

Okuda, Masahiro

机构：

[1] Kitakyushu Fdn Advancement Ind Sci & Technol, FAIS, Kitakyushu, Fukuoka 8080135, Japan

[2] Univ Kitakyushu, Kitakyushu, Fukuoka 8080135, Japan

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2007年 / 54卷 / 03期

关键词：

digital differentiators (DDs); finite-impulse-response (FIR) digital filters; linear phase filters; maximally flat (MAXFLAT); maximally linear (MAXLIN);

D O I：

10.1109/TCSII.2006.889448

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Maximally linear digital differentiators (DDs) are known for high accuracy in narrow frequency bands centered at the frequency for which they are designed. In this paper, designs of DDs of odd and even lengths having maximal linearity at the middle of the frequency band are presented. Applying the maximal linearity constraints to the magnitude response of a differentiator gives a system of linear equations, which can be solved for the impulse response coefficients of the differentiator. It is observed that the coefficient matrices of these equations are Vandermonde matrices, and this helps in finding the solution of the equations in closed form. Design examples are presented to show the accuracy of the presented designs, and it is observed that even-length designs are more accurate in a significantly wider frequency band as compared with odd-length designs.

引用

页码：242 / 246

页数：5

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