Variable-, fractional-order digital filter theoretical background
| dc.contributor.author | Ostalczyk, Piotr | |
| dc.date.accessioned | 2021-05-06T06:04:34Z | |
| dc.date.available | 2021-05-06T06:04:34Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Digital filtering is a subject of scientific investigations [1-3], [7,9], [11-13] from over than 50 years. Many proposed algorithms for digital filtering has already been recognized as a classic solutions. Here one can mention IIR and FIR filter types [l]. All filters algorithms base on the backward difference notion [5] used to its description. Since the early seventies of the last century a growing focus on the generalisation of the backward difference notion can be seen. The fractional-order backward difference [4] (FOBD) is a discrete counterpart of the fractional-order derivative [6,7]. In this work, a further generalization of the FOBD named variable-, fractional-order backward difference [10] (VFOBD) is applied to the digital filtering performed by the variable-, fractional-order digital filter (VFO-DF). A paper is organised as follows. First, in Section 2 fundamental definitions of the VFOBD is given. Next two equivalent descriptions of the VFODF are introduced. Finally some remarks concerning the order functions are given.[...] | en_EN |
| dc.identifier.citation | Ostalczyk P., Variable-, fractional-order digital filter theoretical background. W: Modelling and Identification Algorithms for Emerging Applications in Data and Signal Processing, Romanowski A. (red.), Sankowski D. (red.), Tadeusiewicz R. (red.), Wydawnictwo Politechniki Łódzkiej, Łódź 2015, s. 13-33 , ISBN 978-83-7283-657-1. | |
| dc.identifier.isbn | 978-83-7283-657-1 | |
| dc.identifier.uri | http://hdl.handle.net/11652/3419 | |
| dc.language.iso | en | en_EN |
| dc.publisher | Wydawnictwo Politechniki Łódzkiej | pl_PL |
| dc.publisher | Lodz University of Technology Press | en_EN |
| dc.relation.ispartof | Romanowski A. (red.), Sankowski D. (red.), Tadeusiewicz R. (red.), Modelling and Identification Algorithms for Emerging Applications in Data and Signal Processing, Wydawnictwo Politechniki Łódzkiej, Łódź 2015, ISBN 978-83-7283-657-1. | |
| dc.relation.ispartofseries | Monografie Politechniki Łódzkiej | pl_PL |
| dc.relation.ispartofseries | Lodz University of Technology Monographs | en_EN |
| dc.subject | filtry cyfrowe | pl_PL |
| dc.subject | zmienny filtr cyfrowy rzędu ułamkowego | pl_PL |
| dc.subject | różnica wsteczna o zmiennej ułamkowej kolejności | pl_PL |
| dc.subject | digital filter | en_EN |
| dc.subject | variable fractional-order digital filter | en_EN |
| dc.subject | VFO-DF | en_EN |
| dc.subject | variable-, fractional-order backward difference | en_EN |
| dc.subject | VFOBD | en_EN |
| dc.title | Variable-, fractional-order digital filter theoretical background | en_EN |
| dc.type | rozdział książki | pl_PL |
| dc.type | book chapter | en_EN |