The Excess Mean-Square Error Analyses for Bussgang Algorithm

Without appealing to the circularity assumption of the a priori estimation error in , two closed-form analytical expressions for the steady-state excess mean-square error (EMSE) in a noise-free environment are derived again based on Taylor series expansion for real and complex Bussgang algorithms, respectively; and the restrictive conditions of these two expressions for the steady-state EMSE are also given.