Performance Analysis of Fractional Lower Order Constant Modulus Algorithm

The constant modulus algorithm based on fractional lower-order statistics (FLOS_CMA) has been proven to be an effective blind equalization method under α -stable impulsive noise environment. But, there have been little results in the literature about the performance of this algorithm. In this paper, the steady-state mean- square error (MSE) performance of the FLOS_CMA is studied, and the approximate analytical expressions for real- and complex-valued data under stationary and non- stationary environments are derived, respectively, based on the energy-preserving relation and Taylor series expansion. Finally, the simulation studies are undertaken to support the analysis.