Memory improved proportionate M-estimate affine projection algorithm

For echo cancellation, a memory improved proportionate M-estimate affine projection algorithm (MIP-MAPA) is proposed in which the M-estimator-based cost function containing the weighting matrix is minimised as the cost function and an efficient recursive implementation is applied according to the memory of the previous step-size control matrices. A test on echo cancellations under an impulsive noise environment showed that the proposed MIP-MAPA achieves improvement in steady-state misalignment compared with existing algorithms.