A modified LMS algorithm with turbo-like scheme

LMS algorithm has low computation complexity; however, its convergence rate is slow. In this paper, a novel implementation scheme for LMS algorithm is proposed to form a modified LMS algorithm. The scheme is similar to the structure of Turbo decoder, which consists of one feedback module called as converse-speediness module, two LMS algorithm modules, and one speediness module which connects two LMS algorithm modules. Meanwhile, two LMS algorithm modules can be implemented parallel, as well as the speediness module and converse-speediness module. Simulation results show that the scheme makes the convergence rate of the proposed algorithm over 4 times faster than that of LMS algorithm, and almost the same as that of RLS algorithm. Moreover, compared to LMS algorithm and RLS algorithm, the mean square error (MSE) of the proposed algorithm decreases greatly.