Show simple item record

dc.contributor.authorOstalczyk, Piotr
dc.date.accessioned2021-05-06T06:04:34Z
dc.date.available2021-05-06T06:04:34Z
dc.date.issued2015
dc.identifier.citationOstalczyk 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.isbn978-83-7283-657-1
dc.identifier.urihttp://hdl.handle.net/11652/3419
dc.description.abstractDigital 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.language.isoenen_EN
dc.publisherWydawnictwo Politechniki Łódzkiejpl_PL
dc.publisherLodz University of Technology Pressen_EN
dc.relation.ispartofRomanowski 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.ispartofseriesMonografie Politechniki Łódzkiejpl_PL
dc.relation.ispartofseriesLodz University of Technology Monographsen_EN
dc.subjectfiltry cyfrowepl_PL
dc.subjectzmienny filtr cyfrowy rzędu ułamkowegopl_PL
dc.subjectróżnica wsteczna o zmiennej ułamkowej kolejnościpl_PL
dc.subjectdigital filteren_EN
dc.subjectvariable fractional-order digital filteren_EN
dc.subjectVFO-DFen_EN
dc.subjectvariable-, fractional-order backward differenceen_EN
dc.subjectVFOBDen_EN
dc.titleVariable-, fractional-order digital filter theoretical backgrounden_EN
dc.typerozdział książkipl_PL
dc.typebook chapteren_EN


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record