Pseudo affine projection algorithm new solution for adaptive identication

In this paper, we present a new approach for adaptive echo cancellation: Pseudo Affine projection algorithm. From the original update equation of the filter coefficients of the Affine Projection algorithms, which are based on multiple dimension projection of the input signal vector, we derive a simplified solution under some realistic hypothesis. We show that our solution possesses a complexity figure close to the NLMS one but with the same convergence characteristics of the original sampleby-sample AP algorithm. Implementation details are presented in the last part of the paper.