On Digital Realizations of Non-integer Order Filters

Typical approach to non-integer order filtering consists of analogue design and implementation. Digital realization of non-integer order systems is susceptible to problems such as infinite memory requirement and sensitivity to numerical errors. The aim of this paper is to present two efficient metho...

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Veröffentlicht in:Circuits, systems, and signal processing systems, and signal processing, 2016-06, Vol.35 (6), p.2083-2107
Hauptverfasser: Baranowski, Jerzy, Bauer, Waldemar, Zagórowska, Marta, Piątek, Paweł
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container_issue 6
container_start_page 2083
container_title Circuits, systems, and signal processing
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creator Baranowski, Jerzy
Bauer, Waldemar
Zagórowska, Marta
Piątek, Paweł
description Typical approach to non-integer order filtering consists of analogue design and implementation. Digital realization of non-integer order systems is susceptible to problems such as infinite memory requirement and sensitivity to numerical errors. The aim of this paper is to present two efficient methods for digital realization of non-integer order filters: discrete time-domain Oustaloup approximation and Laguerre impulse response approximation. Properties of both methods are investigated with use of non-integer low-pass filter. Filters realized with presented methods are then used for filtering of EEG signal. Paper concludes with discussion of merits and flaws of both methods.
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subjects Approximation
Circuits
Circuits and Systems
Control systems
Design engineering
Digital
Discrete element method
Electrical Engineering
Electronics and Microelectronics
Engineering
Filtering
Filters
Filtration
Instrumentation
Low pass filters
Mathematical analysis
Signal,Image and Speech Processing
title On Digital Realizations of Non-integer Order Filters
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