Variable step-size adaptive filtering algorithm based onan exponent sin function

This paper proposes a robust adaptive filter based on the exponent sin cost to improve the capability againstGaussian or multiple types of non-Gaussian noises of the adaptive filtering algorithm when dealing with time-varying/ time-invariant linear systems function exponent sin (ExpSin). Then a variable step-size (VSS)-ExpSinalgorithm is extended further. Besides, the stepsize, the convergence, and the steady-state performance of theproposed algorithm are validated experimentally. The Monte Carlo simulation results of linear system identificationillustrate the principle and efficiency of this proposed adaptive filtering algorithm. Results suggest that the proposedadaptive filtering algorithm has superior performance when estimating the unknown linear systems under multiple-types measurement noises.