Efficient μ-law improved proportionate affine projection algorithm for echo cancellation

For echo cancellation, the proportionate affine projection algorithm (APA) has been proposed to take advantage of the sparseness of the echo path. In this reported work, the μ-law proportionate technique is applied to the APA combined with a recently proposed structure having a memory of the proportionate step-size control matrices. Simulation results show that this new algorithm, termed the μ-law memorised improved proportionate APA (MMIPAPA), as well as its segmented implementation (SMIPAPA), yields a further performance improvement while maintaining low computational complexity.