Delays and reverbs for audio processing

…ing …ing …ing

November 11, 2015 — October 22, 2019

dynamical systems
linear algebra
signal processing
time series

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

A particular nook in the linear feedback process library.

Figure 1

1 Designing stable delays

Also, parameterising stable Multi-Input-Multi-Output (MIMO) in signal processing can be done by using a Orthogonal and unitary matrices as the transfer operator, parameterising as stable linear systems.

2 Designing allpass delays

Keywords: multichannel allpass filter, MIMO allpass.

3 Designing delay lengths


4 Delays for signal interpolations


5 Things to try

  • Gerzon m-dimensional MIMO unitary allpass
  • Discuss what complex MIMO matrices would mean in this context

6 References

De Sena, Haciihabiboglu, Cvetkovic, et al. 2015. Efficient Synthesis of Room Acoustics via Scattering Delay Networks.” IEEE/ACM Transactions on Audio, Speech, and Language Processing.
Menzer, and Faller. 2010. Unitary Matrix Design for Diffuse Jot Reverberators.”
Regalia, and Sanjit. 1989. Kronecker Products, Unitary Matrices and Signal Processing Applications.” SIAM Review.
Schroeder. 1961. Improved Quasi-Stereophony and ‘Colorless’ Artificial Reverberation.” The Journal of the Acoustical Society of America.
Schroeder, and Logan. 1961. ‘Colorless’ Artificial Reverberation.” Audio, IRE Transactions on.
Tilma, and Sudarshan. 2002. Generalized Euler Angle Paramterization for SU(N).” Journal of Physics A: Mathematical and General.
Valimaki, and Laakso. 2012. “Fractional Delay Filters-Design and Applications.” In Nonuniform Sampling: Theory and Practice.