Momentum fractional LMS for power signal parameter estimation

•A new fractional calculus based LMS algorithm with fast convergence is proposed.•A new momentum term is included in fraction LMS algorithm for fast convergence.•Parameter estimation of a power signal using momentum fractional LMS algorithm.•Superiority of the proposed algorithm over LMS, momentum LMS and fractional LMS.

Fractional adaptive algorithms have given rise to new dimensions in parameter estimation of control and signal processing systems. In this paper, we present novel fractional calculus based LMS algorithm with fast convergence properties and potential ability to avoid being trapped into local minima. We test our proposed algorithm for parameter estimation of power signals and compare it with other state-of-the-art fractional and standard LMS algorithms under different noisy conditions. Our proposed algorithm outperforms other LMS algorithms in terms of convergence rate and accuracy.

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