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This paper resumes recent research on blind equalization based in predictive filter structures. The predictive filter structure is composed by a cascade of an infinite impulse response (IIR) forward prediction error filter and a FIR backward prediction-error filter (also called innovators). This equalizer views the channel as the cascade of a minimum-phase and a maximum-phase systems. The filter structure is optimized with the constant modulus criterion. Simulation results show that in several situations, conventional finite impulse response (FIR) equalizers do not achieve similar convergence properties as those shown by the predictive blind equalizer.