An Algebraic Theory of 3D Sound Synthesis with Loudspeakers

Flikkema PG. An Algebraic Theory of 3D Sound Synthesis with Loudspeakers. In: AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio. Audio Engineering Society; 2002. Paper 000199. Available from: https://aes.org/publications/elibrary-page/?id=11165

@inproceedings{Flikkema2002_11165,
  author = {Flikkema, Paul G.},
  title = {{An Algebraic Theory of 3D Sound Synthesis with Loudspeakers}},
  booktitle = {AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio},
  note = {Paper 000199},
  year = {2002},
  month = jun,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=11165}
}

TY  - CPAPER
TI  - An Algebraic Theory of 3D Sound Synthesis with Loudspeakers
AU  - Flikkema, Paul G.
T2  - AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio
M1  - Paper 000199
PY  - 2002
DA  - 2002/06/06
UR  - https://aes.org/publications/elibrary-page/?id=11165
PB  - Audio Engineering Society
LA  - en
AB  - The problem of reproducing J signals with K loudspeakers is considered. A algebraic, time-domain synthesis approach is developed that extends the multi-input multi-output inverse theorem (MINT) of Miyoshi and Kaneda. The approach is general and can encompass joint surround sound synthesis and loudspeaker/room correction. First, a discrete time-domain matrix description is developed that captures the effects of amplifiers, loudspeakers, and room acoustics. Based on this model, it is shown that exact synthesis is possible with practical reproduction apparatus only if K>J. Sufficient conditions that are based on impulse responses are also presented. The results are specialized to the case of zero-crosstalk transaural sound reproduction, and the theoretical importance of loudspeaker time alignment is illustrated. Finally, minimum-power exact synthesis is briefly described.
ER  -