Digital fractional delay implementation based on fractional order system
Digital fractional delay implementation based on fractional order system
- Author(s): A. Charef and T. Bensouici
- DOI: 10.1049/iet-spr.2010.0037
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- Author(s): A. Charef 1 and T. Bensouici 1
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View affiliations
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Affiliations:
1: Laboratoire de Traitement du Signal, Department d'Electronique, Université Mentouri de Constantine, Constantine, Algeria
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Affiliations:
1: Laboratoire de Traitement du Signal, Department d'Electronique, Université Mentouri de Constantine, Constantine, Algeria
- Source:
Volume 5, Issue 6,
September 2011,
p.
547 – 556
DOI: 10.1049/iet-spr.2010.0037 , Print ISSN 1751-9675, Online ISSN 1751-9683
This study presents a design method of the digital fractional delay operator z−m for 0<m<1, in a given frequency band of interest, using digital infinite impulse response (IIR) filters. The design technique is based on the approximation of the fractional order systems. First, analogue rational function approximation, for a given frequency band, of the fractional power pole (FPP) is given. Then the forward difference generating function is used to digitise the FPP to obtain a closed-form IIR digital filter, which approximates the digital fractional delay operator z−m for 0<m<1. Finally, an example is presented to illustrate the effectiveness of the proposed design method. The proposed technique has also been used to design a comb filter. The results obtained have been discussed and compared with some of the most recent work in the literature.
Inspec keywords: function approximation; IIR filters
Other keywords:
Subjects: Signal processing theory; Filtering methods in signal processing; Interpolation and function approximation (numerical analysis); Interpolation and function approximation (numerical analysis)
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