iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://doi.org/10.1587/transfun.E97.A.2611
A Closed-Form Design of Linear Phase FIR Band-Pass Maximally Flat Digital Differentiators with an Arbitrary Center Frequency
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
A Closed-Form Design of Linear Phase FIR Band-Pass Maximally Flat Digital Differentiators with an Arbitrary Center Frequency
Takashi YOSHIDAYosuke SUGIURANaoyuki AIKAWA
Author information
JOURNAL RESTRICTED ACCESS

2014 Volume E97.A Issue 12 Pages 2611-2617

Details
Abstract

Maximally flat digital differentiators (MFDDs) are widely used in many applications. By using MFDDs, we obtain the derivative of an input signal with high accuracy around their center frequency of flat property. Moreover, to avoid the influence of noise, it is desirable to attenuate the magnitude property of MFDDs expect for the vicinity of the center frequency. In this paper, we introduce a design method of linear phase FIR band-pass MFDDs with an arbitrary center frequency. The proposed transfer function for both of TYPE III and TYPE IV can be achieved as a closed form function using Jacobi polynomial. Furthermore, we can easily derive the weighting coefficients of the proposed MFDDs using recursive formula. Through some design examples, we confirm that the proposed method can adjust the center frequency arbitrarily and the band width having flat property.

Content from these authors
© 2014 The Institute of Electronics, Information and Communication Engineers
Previous article Next article
feedback
Top