Multichannel fast affine projection algorithm for active noise Control

In the field of adaptive signal processing, it is well known that fast affine projection algorithms can produce a good tradeoff between convergence speed and computational complexity. Although these algorithms typically do not provide the same convergence speed as recursive-least-squares algorithms, they can provide a much improved convergence speed compared to stochastic gradient descent algorithms, without the high increase of the computational load or the instability often found in recursive-least-squares algorithms. In this paper, a multichannel fast affine projection algorithm is introduced for active noise control. The computational complexity of the new algorithm is evaluated, and it is shown through simulations that not only can the new algorithm provide the expected tradeoff between convergence performance and computational complexity, it can also provide the best convergence performance (even over recursive-least-squares algorithms) when non-ideal noisy acoustic plant models are used in the adaptive systems.