This paper proposes an analytical model for describing the mean weight behavior of an adaptive interpolated FIR structure. The adaptive algorithm is the constrained filtered LMS, which is derived from the classical LMS algorithm. Since the interpolated FIR filter makes use of an interpolating structure cascaded with the adaptive filter, some assumptions used for the classical LMS can no longer be applied. The proposed model is obtained without considering the independence theory, which is a commonly used hypothesis to simplify the classical LMS analysis. In addition, by considering the adaptive interpolated filter topology a constrained analysis is introduced. Simulation results demonstrate the quality of the proposed model as compared to the ones available in the literature.
Adaptive filtering; adaptive interpolated FIR filters; LMS algorithm
