The multichannel Gauss-Seidel fast affine projection algorithm for active noise control

It is well known that fast affine projection algorithms can produce a good trade-off between convergence speed and computational complexity. Recently, a multichannel fast affine projection algorithm was introduced for active noise control, using a sliding window recursive least- squares algorithm inside the affine projection algorithm. It was reported that not only can this algorithm provide the expected tradeoff between convergence performance and computational complexity, it can also provide the best convergence performance (even over more complex recursive least-squares algorithms) when non-ideal noisy acoustic plant models are used in the adaptive noise control system. In this paper, we propose a multichannel fast affine projection algorithm for active noise control systems, with a lower complexity and the potential for a better numerical stability than the previously published algorithm. The new algorithm is based on the Gauss-Seidel fast affine projection algorithm. The computational complexity of the new algorithm is evaluated, and it is shown through simulations that the new algorithm provides the same good performance as the previously published algorithm.