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This paper presents a new variable step size LMS algorithm based on neural network (BP-LMS). A non-linear relationship amongst the input vectors, deviation errors and the learning steps is constructed by BP model, which is employed to determine the learning steps during adaptive processing. The proposed algorithm also takes the prior knowledge into the LMS algorithm. Simulation experiments suggest that BP-LMS algorithm is capable of decreasing the time of convergent progress rapidly and satisfactory performance is attainable even with the presence of high level of noise.

A Novel Variable Step Size LMS Algorithm Based On Neural Network