Analytical model for the mean weights of two adaptive interpolated-FIR filter structures

This paper presents an analytical model for the mean weight behavior of two AIFIR structures using the LMS algorithm to adapt the sparse filter weights. The introduction of an interpolating block cascaded with the adaptive sparse filter imposes signal correlations. On the other hand, it is well known that such correlations are disregarded by the independence theory, which is the base for the stochastic analysis of the LMS algorithm. The proposed models have been derived without using the independence theory. Simulation results demonstrate the effectiveness of the proposed analytical models as compared with the classical analysis