| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 754179 | Applied Acoustics | 2016 | 7 Pages |
•Two efficient BFXLMS algorithms are proposed for nonlinear active noise control.•Computational complexity for each proposed algorithm is analyzed.•Computer simulations validate the satisfied control performances.
In this technical note, the simplified diagonal-structure bilinear filtered-X least mean square (SDBFXLMS) and channel-reduced diagonal-structure bilinear filtered-X least mean square (CRDBFXLMS) algorithms are proposed. Computational complexity for each proposed algorithm is analyzed to show the significant computational reduction in comparison with the diagonal-structure bilinear FXLMS (DBFXLMS) algorithm. For L=15L=15 (memory length of the bilinear filter), P=2P=2 (the corresponding number of the diagonal channels for the SDBFXLMS algorithm is L+2P=19L+2P=19 and the corresponding number of the diagonal channels for the CRDBFXLMS algorithm is 2P=4)2P=4), and M=64M=64 (memory length of the secondary path estimate), the SDBFXLMS algorithm achieves 45% and 40% reduction of multiplications and additions, respectively, while the CRDBFXLMS algorithm acquires 78% reduction of multiplications and 76% reduction of additions. Computer simulations validate the satisfied control performances of the proposed algorithms.
