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T. Hélie, "Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters," Paper 8929, (2013 October.). doi: T. Hélie, "Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters," Paper 8929, (2013 October.). doi:
Abstract: 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.

@article{hélie2013real-time,
author={hélie, thomas},
journal={journal of the audio engineering society},
title={real-time simulation of a family of fractional-order low-pass filters},
year={2013},
volume={},
number={},
pages={},
doi={},
month={october},} @article{hélie2013real-time,
author={hélie, thomas},
journal={journal of the audio engineering society},
title={real-time simulation of a family of fractional-order low-pass filters},
year={2013},
volume={},
number={},
pages={},
doi={},
month={october},
abstract={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.},}

TY - paper
TI - Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters
SP - EP -
AU - Hélie, Thomas
PY - 2013
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2013 TY - paper
TI - Real-Time Simulation of a Family of Fractional-Order Low-Pass Filters
SP - EP -
AU - Hélie, Thomas
PY - 2013
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2013
AB - 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.