Analysis of a multichannel filtered-x partial-error affine projection algorithm

The paper provides an analysis of the transient and the steady-state behavior of a filtered-x partial error affine projection algorithm suitable for multichannel active noise control. The analysis relies on energy conservation arguments, it does not apply the independence theory nor does it impose any restriction to the signal distributions. The paper shows that the partial error filtered-x affine projection algorithm in presence of stationary input signals converges to a cyclostationary process, i.e., the mean value of the coefficient vector, the mean-square-error and the mean-square-deviation tend to periodic functions of the sample time.