Nonlinear active noise control using diagonal-channel LMS and RLS bilinear filters

This paper proposes an adaptive bilinear filter with a diagonal-channel structure for nonlinear active noise control. Based on the diagonal-channel structure, the diagonal-channel bilinear filtered-X least mean square (DBFXLMS) and recursive least square (DBFXRLS) algorithms are derived. In order to reduce the computational load for the DBFXRLS algorithm, the DBFXRLS algorithm with a sequential channel update (DBFXRLS-SEQ) is proposed. Computational complexity for each algorithm is examined. Computer simulations demonstrate the control performance improvement using the proposed algorithms.