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This paper presents a family of low-pass filters, the attenuation of which can be continuously adjusted from 0 decibel per octave (filter is a unit gain) to -6 decibels per octave (standard one-pole filter). This continuum is produced through a filter of fractional-order between 0 (unit gain) and 1 (one-pole filter). Such a filter proves to be a (continuous) infinite combination of one-pole filters. Efficient approximations are proposed from which simulations in the time-domain are built.
Author (s): Hélie, Thomas
Affiliation:
IRCAM-CNRS UMR 9912-UPMC, Paris, France
(See document for exact affiliation information.)
AES Convention: 135
Paper Number:8929
Publication Date:
2013-10-06
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Session subject:
Signal Processing
Permalink: https://aes2.org/publications/elibrary-page/?id=16979
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Hélie, Thomas; 2013; Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters [PDF]; IRCAM-CNRS UMR 9912-UPMC, Paris, France; Paper 8929; Available from: https://aes2.org/publications/elibrary-page/?id=16979
Hélie, Thomas; Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters [PDF]; IRCAM-CNRS UMR 9912-UPMC, Paris, France; Paper 8929; 2013 Available: https://aes2.org/publications/elibrary-page/?id=16979