| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4977359 | Signal Processing | 2018 | 9 Pages |
â¢Stochastic analysis of the effects of saturation-type nonlinearities in LMS adaptive filters.â¢System identification using LMS adaptive filters.â¢Nonlinear recursions for the transient and steady-state adaptive weight first and second moments.â¢A general theory for LMS, soft limiting of the input, error or both and sign-sign LMS.
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.
