Abstract: Group delay distortion is one of the important factors influencing satellite communication system BER performance. This paper analyzed the linear group delay model for the high speed data transmission satellite channel, and proposed an modified weighted multimodulus blind equalization algorithm ( MWMMA ). The algorithm constructs a function between the weighted exponent and the iterative error based on the deformation form of Sigmoid function, which does not need the predetermined threshold value from extensive simulation experiments, making the algorithm from MCMA mode through a multimode adaptive switching to DD mode by the iterative error decreasing. Through matlab simulations of various algorithms, the new algorithm can not only make 16QAM signal passed the group delay channel convergence focus, but has least steady residual inter symbol interference; at the same time, based on the simulation result of equalizing 64QAM and 256QAM transmission signal with the new algorithm, verifies that the algorithm has certain applicability for high order QAM signal equalization.