The Living Thing / Notebooks :

Delays and reverbs (digital)

In which I think about parameterisations and implementations of audio recurrence for use in music.

A particular nook in the the linear feedback process library.

Weapons of choice:

Keywords: multichannel allpass filter.

One obvious parameterisation of unitary matrices is applying givens rotations to the identity matrix; this has \(n(n-1)\) parameters.

Note that the recurrent neural networks people have glommed on to this. (ArSB15, MHRB16, JSDP16)

Things to try