Maximally flat low-pass digital differentiator

Author

Selesnick, Ivan W.

Author_Institution

Dept. of Electr. Eng., Polytech. Univ. Brooklyn, NY, USA

Volume

49

Issue

3

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

219

Lastpage

223

Abstract

This paper describes the design of type III and type IV linear-phase finite-impulse response (FIR) low-pass digital differentiators according to the maximally flat criterion. We introduce a two-term recursive formula that enables the simple stable computation of the impulse response coefficients. The same recursive formula is valid for both Type III and Type IV solutions

Keywords

FIR filters; differentiating circuits; digital filters; frequency response; linear phase filters; low-pass filters; transfer functions; FIR digital differentiators; automatic sum simplification; frequency response; impulse response coefficients; low-pass filter; low-pass linear-phase differentiators; maximally flat criterion; polynomials; simple stable computation; transfer function; two-term recurrence relation; type III differentiators; type IV differentiators; Algorithm design and analysis; Cutoff frequency; Digital filters; Engineering profession; Finite impulse response filter; Frequency response; Least squares approximation; Least squares methods; Linear approximation; Low pass filters;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/TCSII.2002.1013869

Filename

1013869