To overcome the disadvantages that the Constant Modulus Algorithm (CMA) and Modified Constant Modulus Algorithm (MCMA) is of low convergence rate, a fast convergent algorithm for semi-blind equalization is presented. We use the CMA and MCMA to perform channel equalization, and adopt LMS algorithm with decision to compensate CMA and MCMA respectively. Simulations, which are done under linear channel and nonlinear channel respectively, indicate that convergence rate of the new algorithm is four times faster than that of Constant Modulus Algorithm and Modified Constant Modulus Algorithm under linear channel. In case of nonlinear channel, the convergence speed of this new semi-blind equalization algorithm is also four times faster than that of Modified Constant Modulus Algorithm.
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