In the process of realizing array wideband beamforming with well anti-interfere properties,researchers are often faced with the problem of array pattern synthesis with broad null constraint. By using the principle of minimum mean square error( MMSE),the optimal synthesis method of array side-lobe cancellers based on optimum min-max side-lobe constraint( MMSLC) algorithm is given in this paper. The algorithm optimizes the ways of setting zeros of beam cancellers,decreases the number of setting zeros required...