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A New Noise-Assistant LMS Algorithm for Preventing the Stalling Effect. (arXiv:1807.07395v1 [eess.SP])
来源于:arXiv
In this paper, we introduce a new algorithm to deal with the stalling effect
in the LMS algorithm used in adaptive filters. We modify the update rule of the
tap weight vectors by adding noise, generated by a noise generator. The
properties of the proposed method are investigated by two novel theorems. As it
is shown, the resulting algorithm, called Added Noise LMS (AN-LMS), improves
the resistance capability of the conventional LMS algorithm against the
stalling effect. The probability of update with additive white Gaussian noise
is calculated in the paper. Convergence of the proposed method is investigated
and it is proved that the rate of convergence of the introduced method is equal
to that of LMS algorithm in the expected value sense, provided that the
distribution of the added noise is uniform. Finally, it is shown that the order
of complexity of the proposed algorithm is linear as the conventional LMS
algorithm. 查看全文>>