Publication detail

(3 + α)-Order Transfer Functions for Approximating Butterworth-Type Flat Passband Characteristics

PAUTZKE, Z. KUBÁNEK, D. FREEBORN, T.

Original Title

(3 + α)-Order Transfer Functions for Approximating Butterworth-Type Flat Passband Characteristics

Type

conference paper

Language

English

Original Abstract

In this work, the design and implementation of (3+α) order transfer functions to approximate the flat-passband characteristics of Butterworth type low-pass filters are presented. A numerical optimization approach is adopted to identify the transfer function coefficients necessary for the flat-pass band characteristics. The transfer function with the least error (compared to the ideal Butterworth response) is implemented in simulation and realized experimentally to validate the performance of the proposed (3 + α) = 3.75 order design. The physical circuits are implemented using Analog Devices AD844 current-feedback operational amplifiers and an approximated fractional-order capacitor realized using a 7-th order RC ladder design. Experimental magnitude and phase from 1 Hz to 100 kHz validate the proposed design.

Keywords

Fractional-order circuits;fractional-filters;analog filters

Authors

PAUTZKE, Z.; KUBÁNEK, D.; FREEBORN, T.

Released

28. 4. 2023

Publisher

IEEE

Location

New York

ISBN

9781665476119

Book

Conference Proceedings - IEEE SOUTHEASTCON

Edition

Volume 2023-April

Pages from

815

Pages to

820

Pages count

6

URL

https://ieeexplore.ieee.org/document/10115219

BibTex

@inproceedings{BUT183523,
  author="Zane {Pautzke} and David {Kubánek} and Todd {Freeborn}",
  title="(3 + α)-Order Transfer Functions for Approximating Butterworth-Type Flat Passband Characteristics",
  booktitle="Conference Proceedings - IEEE SOUTHEASTCON",
  year="2023",
  series="Volume 2023-April",
  pages="815--820",
  publisher="IEEE",
  address="New York",
  doi="10.1109/SoutheastCon51012.2023.10115219",
  isbn="9781665476119",
  url="https://ieeexplore.ieee.org/document/10115219"
}