New multichannel modified filtered-x algorithms for active noise control using the dichotomous coordinate descent method

Abstract

In this paper, several multichannel modified filtered-x algorithms for active noise control or acoustic equalization systems using the dichotomous coordinate descent method (DCD) are introduced. This multiplierless and divisionless method is used for avoiding the matrix inversion that appears in adaptive algorithms such us fast transversal filters (FTF), recursive least square (RLS) based algorithms, affine projection (AP) or its fast versions. The study is focused on the important computational savings given by the use of DCD method, the effect on the convergence properties and stability of the investigated algorithms. A comparison of their convergence performance in case of using non-ideal noisy acoustic plants is also given. It is proved by simulations that the use of the dichotomous coordinate descent method can be an interesting option for reducing the computational cost of practical multichannel algorithms for ANC or acoustic equalization algorithms.