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Fb1 - An interface for single sample feedback and feedforward in SuperCollider

Authors: Mayer, Daniel;

Fb1 - An interface for single sample feedback and feedforward in SuperCollider

Abstract

The class Fb1, contained in miSCellaneous_lib, an extension of SuperCollider (SC), enables single sample feedback and feedforward with arbitrary block sizes. This is made possible by an iterative application of the defining relation in the SynthDef (instrument) graph, a method suggested by Nathaniel Virgo. While alternative approaches exist, e.g. by setting SC server's block size to 1, Fb1 provides a clear interface: the relation, which describes the calculation of subsequent samples from previous samples, is passed via an SC Function (the capital indicates the SC object) with the two arguments 'in' (feedforward) and 'out' (feedback). Consequentially, difference equations of linear filters can almost directly be taken over in the syntax, in which they are described in standard DSP literature. Because any operators can be written in the Function, non-linear filters and totally irregular feedback / feedforward setups can also be explored. Further options include arbitrary look-back depths and multichannel sizes, which allow complicated setups with a few lines of code. In August 2019 the class Fb1_ODE for integrating resp. audifying ordinary (systems of) differential equations with initial values in realtime was added to miSCellaneous_lib v0.22. It is based on Fb1 and will be described in more detail in a separate paper.

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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