EFEITO DA INICIALIZAÇÃO NO MODELO DO COMPORTAMENTO DOS COEFICIENTES DO ALGORITMO DE PROJEÇÕES AFINS

This paper presents a new analytical model for the mean weight behavior of the Affine Projection adaptive algorithm for autoregressive inputs and unity step-size. Deterministic recursive equations are derived considering an initial transient previously not accounted for. This phase occurs at the beginning of the adaptation process, and is due to the arbitrary initialization of the coefficients. It is a deterministic process that prevents the correct orthogonalization of the coefficient vector with respect to the subspace defined by the past input vectors. Monte Carlo simulations show improvements in the accuracy of the presented model when compared to a previously one.