Publication detail

Analog Filters With Arbitrarily Adjustable Frequency Response

KOTON, J. JEŘÁBEK, J. KUBÁNEK, D. DVOŘÁK, J.

Original Title

Analog Filters With Arbitrarily Adjustable Frequency Response

English Title

Analog Filters With Arbitrarily Adjustable Frequency Response

Type

book chapter

Language

en

Original Abstract

Besides frequency filters being designed to feature specific and fixed parameters, filters with dynamically adjustable transfer function are also required in signal processing. Understanding the fractional order α as a new controllable parameter of the fractional-order filters, the concept of arbitrarily adjustable analogue frequency filters is proposed and discussed in detail within this chapter. The general transfer functions are presented that feature the possibility of adjusting one or even all filter’s parameters by means of passive components and/or particular parameters of active elements used to implement the circuit. Based on the described transfer functions, the general topologies of the function systems are presented that are used as initial for the design of fractional-order frequency filters employing required types of active elements. As a result, the simplest and minimal in configuration circuit solutions can be synthesized that fully follow the designer’s initial requirements on filter’s parameter(s) adjustability and tunability. To show the use of the theoretical presumptions, the fractional-order low- and high-pass filters are designed, where operational transconductance amplifiers (OTAs) and adjustable current amplifiers (ACAs) are advantageously employed to introduce the electronic control and adjustment of the filter parameters.

English abstract

Besides frequency filters being designed to feature specific and fixed parameters, filters with dynamically adjustable transfer function are also required in signal processing. Understanding the fractional order α as a new controllable parameter of the fractional-order filters, the concept of arbitrarily adjustable analogue frequency filters is proposed and discussed in detail within this chapter. The general transfer functions are presented that feature the possibility of adjusting one or even all filter’s parameters by means of passive components and/or particular parameters of active elements used to implement the circuit. Based on the described transfer functions, the general topologies of the function systems are presented that are used as initial for the design of fractional-order frequency filters employing required types of active elements. As a result, the simplest and minimal in configuration circuit solutions can be synthesized that fully follow the designer’s initial requirements on filter’s parameter(s) adjustability and tunability. To show the use of the theoretical presumptions, the fractional-order low- and high-pass filters are designed, where operational transconductance amplifiers (OTAs) and adjustable current amplifiers (ACAs) are advantageously employed to introduce the electronic control and adjustment of the filter parameters.

Keywords

Fractional-order filters, Analogue signal processing, Tunable, Approximation, Filter design guide

Released

16.08.2018

Publisher

Academic Press

ISBN

9780128161524

Book

Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications

Edition

Advances in Nonlinear Dynamics and Chaos (ANDC)

Edition number

1

Pages from

383

Pages to

419

Pages count

36

URL

BibTex


@inbook{BUT150678,
  author="Jaroslav {Koton} and Jan {Jeřábek} and David {Kubánek} and Jan {Dvořák}",
  title="Analog Filters With Arbitrarily Adjustable Frequency Response",
  annote="Besides frequency filters being designed to feature specific and fixed parameters, filters with dynamically adjustable transfer function are also required in signal processing. Understanding the fractional order α as a new controllable parameter of the fractional-order filters, the concept of arbitrarily adjustable analogue frequency filters is proposed and discussed in detail within this chapter. The general transfer functions are presented that feature the possibility of adjusting one or even all filter’s parameters by means of passive components and/or particular parameters of active elements used to implement the circuit. Based on the described transfer functions, the general topologies of the function systems are presented that are used as initial for the design of fractional-order frequency filters employing required types of active elements. As a result, the simplest and minimal in configuration circuit solutions can be synthesized that fully follow the designer’s initial requirements on filter’s parameter(s) adjustability and tunability. To show the use of the theoretical presumptions, the fractional-order low- and high-pass filters are designed, where operational transconductance amplifiers (OTAs) and adjustable current amplifiers (ACAs) are advantageously employed to introduce the electronic control and adjustment of the filter parameters.",
  address="Academic Press",
  booktitle="Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications",
  chapter="150678",
  doi="10.1016/C2017-0-04459-2",
  edition="Advances in Nonlinear Dynamics and Chaos (ANDC)",
  howpublished="print",
  institution="Academic Press",
  year="2018",
  month="august",
  pages="383--419",
  publisher="Academic Press",
  type="book chapter"
}