This chapter contains sections titled: Introduction to Turbo equalization RBF Assisted Turbo equalization Comparison of the RBF and MAP Equaliser Comparison of the Jacobian RBF and Log-MAP Equaliser RBF Turbo Equaliser Performance Reduced-complexity RBF Assisted Turbo equalization Reduced Complexity In-Phase/Quadrature-Phase Turbo equalization Using Radial Basis Functions Turbo Equalization of Convolutional Coded and Concatenated Space Time Trellis Coded Systems using Radial Basis Function Aided Equalizers Review and Discussion