On the convergence, steady-state, and tracking analysis of the SRLMMN algorithm. Faiz, M. M. U. & Zerguine, A. In 2015 23rd European Signal Processing Conference (EUSIPCO), pages 2691-2695, Aug, 2015.
On the convergence, steady-state, and tracking analysis of the SRLMMN algorithm [pdf]Paper  doi  abstract   bibtex   
In this work, a novel algorithm named sign regressor least mean mixed-norm (SRLMMN) algorithm is proposed as an alternative to the well-known least mean mixed-norm (LMMN) algorithm. The SRLMMN algorithm is a hybrid version of the sign regressor least mean square (SRLMS) and sign regressor least mean fourth (SRLMF) algorithms. Analytical expressions are derived to describe the convergence, steady-state, and tracking behavior of the proposed SRLMMN algorithm. To validate our theoretical findings, a system identification problem is considered for this purpose. It is shown that there is a very close correspondence between theory and simulation. Finally, it is also shown that the SRLMMN algorithm is robust enough in tracking the variations in the channel.

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