For nonconstant modulus signals

the steady-state mean square error(MSE)of constant modulus algorithm(CMA)for blind equalization can not converge to zero and CMA can not achieve modulation classification.According to the construction method for CMA's cost function

a cosine cost function is defined and a new blind equalization algorithm based on it is proposed.Such cost function can take all the constellation points of BPSK

M-PAM and M-QAM signals mapped to the origin of constellation diagram

so the steady-state MSE of the proposed algorithm can converge to zero for both of constant modulus and nonconstant modulus signals.Furthermore

for above signals the proposed algorithm has the modulation classification ability under the condition of multipath propagation.Theoretic analysis and computer simulation results demonstrate that the proposed algorithm offers high performance.