Fractionally spaced equalization (FSE) can reduce sensitivity to timing synchronization errors.The constant modulus algorithm (CMA) for FSE can be improved by modifying its error function and a modified constant modulus algorithm (MCMA) for blind fractionally spaced equalization is proposed.The MCMA is compared with the conventional constant modulus algorithm (CMA) for FSE for 8PSK signals.It is shown that the MCMA is superior and more robust in noise environments under freqency selective channels.Simulation results demonstrate the MCMA can effectively improve channel equlizations by increasing convergence rate and decreasing steady-state mean square error and intersymbol interference (ISI).