(1) State Key Laboratory on Microwave and Digital Communications, Department of Electronics Engineering, Tsinghua University, 100084 Beijing, China
Abstract:
With independence assumption, this paper proposes and proves the superior step-size theorem on least mean square (LMS) algorithm,
from the view of minimizing mean squared error (MSE). Following the theorem we construct a parallel variable step-size LMS
filters algorithm. The theoretical model of the proposed algorithm is analyzed in detail. Simulations show the proposed theoretical
model is quite close to the optimal variable step-size LMS (OVS-LMS) model. The experimental learning curves of the proposed
algorithm also show the fastest convergence and fine tracking performance. The proposed algorithm is therefore a good realization
of the OVS-LMS model.