Abstract
This paper presents a method of convex combination of two different fractional order adaptive filters. The basic idea of fractional order least-mean-square (FOLMS) algorithm is to apply fractional order gradient method (FOGM) to conventional least-mean-square (LMS) algorithm. The advantage of the FOLMS algorithm is to obtain the desired convergence speed or accuracy by adjusting the fractional order, but there is a contradiction between the accuracy and speed. Therefore, a convex combination strategy is considered, which can combine both convergence accuracy and rapidity; namely, the overall filter has faster convergence speed in non-stationary scenarios, and better convergence accuracy in stationary scenarios. The effectiveness and advantages of the algorithm are verified by illustrative simulations.
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