In this paper, the existed blind equalization algorithms were theoretically analyzed considering the channel time-varying, environmental sensitivity, and the performance of carrier synchronization for millimeter-wave zero-IF application, and the CMA and MCMA algorithm were analyzed by simulation. In order to realize large capacity data process, a kind of parallel processing method based on iterative short convolution were introduced. At the end of this paper, an improved CMA algorithm in which leakage algorithm and higher-order cumulant algorithm were introduced was proposed to improve residual error level of common CMA algorithm.