AFFINE PROJECTION ALGORITHMS: EVOLUTION TO SMART AND FAST ALGORITHMS AND APPLICATIONS

Affine projection algorithm encompasses a family of con-figurable algorithms designed to improve the performance of other adaptive algorithms, mainly LMS based ones, es-pecially when input data is highly correlated. The computa-tional cost of the affine projection algorithm depends largely on the projection order, which in turn conditions the speed of convergence, thus high speed of convergence implies usually high computational cost. Some real-time applications (es-pecially multichannel) using the affine projection algorithm can not be implemented in the existing general-purpose hard-ware, because of this several improvements of the affine pro-jection algorithm have been proposed to make it more com-putationally efficient and more versatile in terms of perfor-mance. This paper outlines the evolution of the affine projec-tion algorithm and its variants, in order to get an efficient and self-reconfigurable algorithm. Furthermore new improve-ments over the existing low cost and variable step size and projection order versions are proposed to give examples of the new generation of affine projection algorithms. 1