The effects of saturation-type nonlinearities on the input and the error in the weight update equation for lms adaptation are investigated for a stationary white Gaussian data model for system identification. Nonlinea...
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The effects of saturation-type nonlinearities on the input and the error in the weight update equation for lms adaptation are investigated for a stationary white Gaussian data model for system identification. Nonlinear recursions are derived for the transient and steady-state weight first and second moments that include the effect of soft limiters on both the input and the error driving the algorithm. By varying a single parameter of the soft limiter, a general theory is presented that is applicable to lms, soft limiting of the input, error or both and sign-sign lms. (C) 2017 Elsevier B.V. All rights reserved.
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