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.
https://www.aes.org/e-lib/browse.cfm?elib=16979
Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!
This paper costs $33 for non-members and is free for AES members and E-Library subscribers.
Learn more about the AES E-Library
Start a discussion about this paper!