Optimization of adaptive signal processing algorithms for wireless communication is based on the underlying channel propagation model. Robust minimax estimation of a wireless communication channel. Minimax robust wireless communication channel prediction based on the maximum Doppler frequency. Robust linear and nonlinear precoding for downlink multi-user with multiple antennas based on channel state information which is incomplete or channel correlation (measure of performance, duality, strong Tomlinson-Harashima precoding, precoding vector is strong, nonlinear beamforming).