The Mathematics of Mixing

Terrell M, Simpson A, Sandler M. The Mathematics of Mixing. J Audio Eng Soc. 2014;62(1/2):4-13. doi:10.17743/jaes.2014.0002

@article{Terrell2014_17081,
  author = {Terrell, Michael and Simpson, Andrew and Sandler, Mark},
  title = {{The Mathematics of Mixing}},
  journal = {Journal of the Audio Engineering Society},
  volume = {62},
  number = {1/2},
  pages = {4--13},
  year = {2014},
  month = jan,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2014.0002},
  url = {https://doi.org/10.17743/jaes.2014.0002}
}

TY  - JOUR
TI  - The Mathematics of Mixing
AU  - Terrell, Michael
AU  - Simpson, Andrew
AU  - Sandler, Mark
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 62
IS  - 1/2
SP  - 4
EP  - 13
PY  - 2014
DA  - 2014/01/06
DO  - 10.17743/jaes.2014.0002
UR  - https://doi.org/10.17743/jaes.2014.0002
PB  - Audio Engineering Society
LA  - en
AB  - Although audio mixing has always been viewed as the artistic task of either a conductor balancing the musicians in a live performance or a mixing engineer combining multiple tracks in a sound studio, this research considers mixing as a mathematical optimization problem. Using an auditory model, the authors demonstrated how numerical optimization can be used to pose and solve a mix problem. There is interplay between artistic objectives, perceptual constraints, and engineering methods. Taking loudness as an example, it is shown that the nonlinearity in the perceptual model leads to complex behavior, which can be overcome by careful choice of optimization strategies and parameters.
ER  -