Wydział Elektrotechniki, Elektroniki, Informatyki i Automatyki / Faculty of Electrical, Electronic, Computer and Control Engineering / W2
Stały URI zbioruhttp://hdl.handle.net/11652/2
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Pozycja Variable-, fractional-order digital filter - application(Wydawnictwo Politechniki Łódzkiej, 2015) Duch, Piotr; Bąkała, Marcin; Sankowski, Dominik; Ostalczyk, Piotr[...] This chapter is organised as follows. First, in Section 2 fundamental definition of the VFOBD is given. Next the VFO-DF fundamental structure is proposed. In Section 3 two equivalent descriptions of the VFO-DF a filter response is presented. finally in Section 4 the VFO-DF responses is evaluated and compared to the filtering effects of the classical first-order linear filter.[...]Pozycja Variable-, fractional-order digital filter theoretical background(Wydawnictwo Politechniki Łódzkiej, 2015) Ostalczyk, PiotrDigital 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.[...]Pozycja Variable-, fractional-order digital filter - application(Wydawnictwo Politechniki Łódzkiej, 2014) Duch, Piotr; Bąkała, Marcin; Sankowski, Dominik; Ostalczyk, Piotr[...] This chapter is organised as follows. First, in Section 2 fundamental definition of the VFOBD is given. Next the VFO-DF fundamental structure is proposed. In Section 3 two equivalent descriptions of the VFO-DF a filter response is presented. Finally in Section 4 the VFO-DF responses is evaluated and compared to the filtering effects of the classical first-order linear filter.[...]