Analysis of a Multichannel Filtered-x Set-Membership Affine Projection Algorithm

The paper provides an analysis of transient and steady-state behavior of a multichannel filtered-x set-membership affine projection algorithm, suitable for multichannel active noise control. The analysis relies on energy conservation arguments and it does not apply the independence theory nor it imposes any restriction to the signal distributions. The analysis results show that the filtered-x set-membership affine projection algorithm can reduce the computational complexity without trading residual mean-square-error and convergence speed