Publication detail

On the Design of Power Law Filters and Their Inverse Counterparts

MAHATA, S. HERENCSÁR, N. KUBÁNEK, D.

Original Title

On the Design of Power Law Filters and Their Inverse Counterparts

Type

journal article in Web of Science

Language

English

Original Abstract

This paper presents the optimal modeling of Power Law Filters (PLFs) with the low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) responses by means of rational approximants. The optimization is performed for three different objective functions and second-order filter mother functions. The formulated design constraints help avoid placement of the zeros and poles on the right-half s-plane, thus, yielding stable PLF and inverse PLF (IPLF) models. The performances of the approximants exhibiting the fractional-step magnitude and phase responses are evaluated using various statistical indices. At the cost of higher computational complexity, the proposed approach achieved improved accuracy with guaranteed stability when compared to the published literature. The four types of optimal PLFs and IPLFs with an exponent alpha of 0.5 are implemented using the follow-the-leader feedback topology employing AD844AN current feedback operational amplifiers. The experimental results demonstrate that the Total Harmonic Distortion achieved for all the practical PLF and IPLF circuits was equal or lower than 0.21%, whereas the Spurious-Free Dynamic Range also exceeded 57.23 and 54.72 dBc, respectively.

Keywords

analog filter approximation; analog signal processing; fractional-order filter; inverse filter

Authors

MAHATA, S.; HERENCSÁR, N.; KUBÁNEK, D.

Released

4. 11. 2021

Publisher

MDPI

ISBN

2504-3110

Periodical

Fractal and Fractional

Year of study

5

Number

4

State

Swiss Confederation

Pages from

1

Pages to

23

Pages count

23

URL

https://www.mdpi.com/2504-3110/5/4/197

Full text in the Digital Library

http://hdl.handle.net/11012/202251

BibTex

@article{BUT173062,
  author="Shibendu {Mahata} and Norbert {Herencsár} and David {Kubánek}",
  title="On the Design of Power Law Filters and Their Inverse Counterparts",
  journal="Fractal and Fractional",
  year="2021",
  volume="5",
  number="4",
  pages="1--23",
  doi="10.3390/fractalfract5040197",
  issn="2504-3110",
  url="https://www.mdpi.com/2504-3110/5/4/197"
}