Blind equalization for high-order modulated signals is difficult to combat since the corresponding probability density functions are very complex. The conventional constant modulus algorithm (CMA) is simple but not robust when the modulation order is high. In this paper, we design a novel preprocessor involving signal selection and blind pose estimation such that our previously proposed iterative weighted least-mean-square (IWLMS) blind equalization algorithm only for BPSK and QPSK signals can be adopted for any arbitrary PSK signal constellation. The simulation results show that our proposed new BPE-IWLMS method greatly outperforms the CMA.