Fast algorithms of adaptive filtering based on vector plots analysis

This paper discusses adaptive filtering algorithms and proposes a fast algorithm based on vector plots analysis, that is different from the previous adaptive filtering algorithms. By introducing approaches of mathematical geometrical analysis to study adaptive filtering, the paper inquires into vector plots structure of least mean squares (LMS) algorithm and geometrical feature of algorithm convergence and seeks effective fast algorithm on the basis of geometrical analysis. Numerical simulations are given to show the efficiency and superiority of the new algorithm.