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  • This paper deals with using some MATLAB functions and tools for designing the first-order analogue Chebyshev filters and IIR Chebyshev filters. The first part of this paper is focused on a design of an analogue filter via Chebyshev approximation approach, including features and mathematical background of this iso-extremal approximation, approximation of a normalized low-pass (NLP) filter, and some mathematical formulas for calculating its fundamental parameters, such as constructing a tolerance scheme, an order of the Chebyshev approximation, poles of the NLP’s transfer function, characteristic equation, and group delay. Due to some frequency transformation formulas implemented in MATLAB, un-normalized forms of frequency functions for low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) analogue filters are also available. The second part of this paper describes a design of the first-order IIR Chebyshev filter via Filter Visualization Tool (FVT), and functions, implemented in Signal Processing Toolbox, whereas a conversion from the analogue form into the digital form is done and discussed for bilinear transformation only.
  • This paper deals with using some MATLAB functions and tools for designing the first-order analogue Chebyshev filters and IIR Chebyshev filters. The first part of this paper is focused on a design of an analogue filter via Chebyshev approximation approach, including features and mathematical background of this iso-extremal approximation, approximation of a normalized low-pass (NLP) filter, and some mathematical formulas for calculating its fundamental parameters, such as constructing a tolerance scheme, an order of the Chebyshev approximation, poles of the NLP’s transfer function, characteristic equation, and group delay. Due to some frequency transformation formulas implemented in MATLAB, un-normalized forms of frequency functions for low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) analogue filters are also available. The second part of this paper describes a design of the first-order IIR Chebyshev filter via Filter Visualization Tool (FVT), and functions, implemented in Signal Processing Toolbox, whereas a conversion from the analogue form into the digital form is done and discussed for bilinear transformation only. (en)
Title
  • Using Methodology for MATLAB Designing the First-order Chebyshev Analogue and IIR Digital Filters
  • Using Methodology for MATLAB Designing the First-order Chebyshev Analogue and IIR Digital Filters (en)
skos:prefLabel
  • Using Methodology for MATLAB Designing the First-order Chebyshev Analogue and IIR Digital Filters
  • Using Methodology for MATLAB Designing the First-order Chebyshev Analogue and IIR Digital Filters (en)
skos:notation
  • RIV/61989100:27240/12:86085014!RIV13-MSM-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 176520
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/12:86085014
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Chebyshev analogue filter, Chebyshev approximation, Chebyshev polynomials, IIR digital filter, MATLAB, Normalized low-pass filter, NLP’s characteristic equation, NLP’s group delay, NLP’s transfer function, Un-normalized filters. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B770197B0FA6]
http://linked.open...v/mistoKonaniAkce
  • Brno
http://linked.open...i/riv/mistoVydani
  • London
http://linked.open...i/riv/nazevZdroje
  • 11th IFAC/IEEE International Conference on Programmable Devices and Embedded Systems, IFAC, 2012
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Koziorek, Jiří
  • Pieš, Martin
  • Vojčinák, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 1474-6670
number of pages
http://purl.org/ne...btex#hasPublisher
  • IFAC-PapersOnLine
https://schema.org/isbn
  • 978-3-902823-21-2
http://localhost/t...ganizacniJednotka
  • 27240
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