On implementation of adaptive bilinear filters for nonlinear active noise control. (May 2016)

• Record Type: Journal Article
• Authors: Tan, Li; Dong, Chen; Du, Sidan
• Is Part Of: Applied acoustics. Volume 106(2016)
• Page Start: 122
• Page End: 128
• Publication Date: 2016-05
• Subjects: Active noise control (ANC) -- Adaptive filter -- Adaptive bilinear filter -- Diagonal structure -- Least mean square algorithm; Acoustical engineering -- Periodicals; Periodicals; 620.2
• DOI: 10.1016/j.apacoust.2016.01.001
• Languages: English
• ISSNs: 0003-682X

Abstract

Highlights: 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. Abstract: 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 = 15 (memory length of the bilinear filter), P = 2 (the corresponding number of the diagonal channels for the SDBFXLMS algorithm is L + 2 P = 19 and the corresponding number of the diagonal channels for the CRDBFXLMS algorithm is 2 P = 4 ), and M = 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.