Blind nonlinear channel equalization based on efficient sub-space algorithms

In this paper, we discuss the sub-space based blind nonlinear channel equalization problem. The conditions required for exciting the zero force equalizer and an MMSE equalizer based on the sub-space algorithm are given. Using these conditions, we propose several efficient sub-space-based blind nonlinear channel equalization algorithms. These provide: 1) a blind zero force equalizer for a nonlinear channel whose linear portion has maximum memory length, 2) an MMSE equalizer for a nonlinear channel whose nonlinear distortion is weak and 3) an MMSE equalizer for a nonlinear channel whose linear part has minimum memory length while the inputs to the linear and nonlinear parts are uncorrelated to each other. Our proposed algorithms are more efficient than currently available methods and work over a broader range of channels. As a result, our algorithms have significant practical application