Design 3-D High Order Ambisonics Encoding Matrices Using Convex Optimization

Sun H, Svensson UP. Design 3-D High Order Ambisonics Encoding Matrices Using Convex Optimization. In: AES Convention 130. Audio Engineering Society; 2011. Paper 8402. Available from: https://aes.org/publications/elibrary-page/?id=15869

@inproceedings{Sun2011_15869,
  author = {Sun, Haohai and Svensson, U. Peter},
  title = {{Design 3-D High Order Ambisonics Encoding Matrices Using Convex Optimization}},
  booktitle = {AES Convention 130},
  note = {Paper 8402},
  year = {2011},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=15869}
}

TY  - CPAPER
TI  - Design 3-D High Order Ambisonics Encoding Matrices Using Convex Optimization
AU  - Sun, Haohai
AU  - Svensson, U. Peter
T2  - AES Convention 130
M1  - Paper 8402
PY  - 2011
DA  - 2011/05/06
UR  - https://aes.org/publications/elibrary-page/?id=15869
PB  - Audio Engineering Society
LA  - en
AB  - In this paper, we propose a convex optimization method for the design of 3-D High Order Ambisonics (3-D HOA) encoding matrices using spherical microphone arrays, which offers the possibility to impose spatial stop-bands in the directivity patterns of all the spherical harmonics while keeping the transformed audio channels still compatible with the 3-D HOA reproduction sound format. Using the proposed convex optimization method, the globally optimal encoding matrices can be obtained, and the suitable trade-off among several design factors, e.g. response distortions in the obtained spherical harmonic, the dynamic range of matrix coefficients, i.e., the system robustness, and frequencies, can be analyzed and illustrated. The proposed convex optimization is formulated as a form of second-order cone programming which can be efficiently solved. Numerical results validate the proposed method. This method can be easily generalized to the 2-D HOA cases.
ER  -