A novel blind equalization approach called

l

0

-norm constraint recursive least square constant module algorithm is proposed for MPSK signal in sparse multipath channel.Firstly

motivated by the traditional recursive least square constant module algorithm and sparse adaptive filter theory

a new exponential weighting based least mean square error cost function with the

l

0

-norm penalty on the equalizer tap coefficients is constructed.Then

the iterative updating formula of the equalizer is derived according to the recursive least square algorithm.The algorithm takes the advantages of the recursive least

square algorithm

as well as attracting the inactive taps to zero

to realize fast convergence of various tap coefficients.Theoretical analysis and simulation results show that the proposed algorithm outperforms the existing algorithms in increasing the convergence rate at the same residual inter-symbol interference level.