Vandermonde Method for Separation of Nonlinear Orders and Measurement of Linear Response

Lambert RH. Vandermonde Method for Separation of Nonlinear Orders and Measurement of Linear Response. In: AES Convention 141. Audio Engineering Society; 2016. Paper 9616. Available from: https://aes.org/publications/elibrary-page/?id=18420

@inproceedings{Lambert2016_18420,
  author = {Lambert, Russell H.},
  title = {{Vandermonde Method for Separation of Nonlinear Orders and Measurement of Linear Response}},
  booktitle = {AES Convention 141},
  note = {Paper 9616},
  year = {2016},
  month = sep,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=18420}
}

TY  - CPAPER
TI  - Vandermonde Method for Separation of Nonlinear Orders and Measurement of Linear Response
AU  - Lambert, Russell H.
T2  - AES Convention 141
M1  - Paper 9616
PY  - 2016
DA  - 2016/09/06
UR  - https://aes.org/publications/elibrary-page/?id=18420
PB  - Audio Engineering Society
LA  - en
AB  - The Vandermonde matrix method for separation of nonlinear components and full-power linear response measurement is analyzed in this paper. This technique involves making several measurements of a nonlinear system (a woofer or horn system for example) at different gains and applying the inverse Vandermonde gain matrix to the vector of outputs. The Vandermonde matrix method does more than just return the linear response, as it more generally separates all of the nonlinear orders breaking difficult nonlinear system estimation tasks into more tractable problems, one for each Volterra kernel. Quantitative measures for the degree of nonlinear order separation are proposed. The Vandermonde matrix order separation method is analyzed for noise robustness and gain spacing sensitivity and found to be a useful and practical tool for audio measurements.
ER  -