  In this paper, we propose an adaptive framework for the variable power of the
fractional least mean square (FLMS) algorithm. The proposed algorithm named as
robust variable power FLMS (RVP-FLMS) dynamically adapts the fractional power
of the FLMS to achieve high convergence rate with low steady state error. For
the evaluation purpose, the problems of system identification and channel
equalization are considered. The experiments clearly show that the proposed
approach achieves better convergence rate and lower steady-state error compared
to the FLMS. The MATLAB code for the related simulation is available online at
https://goo.gl/dGTGmP.
