In order to ease the pass-band response distortion of the matrix pre-filter,a simple approach for designing matrix spatial filter is proposed,which minimizes the sum of the k maximal distortion norm(k is the number of the constraint points)within the pass-band,while constraining the filter response within the stop-band.Considering the costly amount of calculation of the high-resolution methods,an algorithm with small amount of calculation based on matrix pre-filtering and subspace fitting using acoustic vector array(MF-VSSF)is proposed.Through joint processing of signal subspace of both pressure and particle velocity,the pre-filtering matrix and the signal subspace is decreased to M-dimensional(M is the number of array-element),hence reduces the time-consumption of the matrix pre-filter design and DOA searching.Simulation results show that,the method offers the same performance as MUSIC with pre-filtering,but has much lesser amount of calculation.Moreover,the designed prefilter can efficiently suppress the interference in the stop-band and improve the estimation and resolution performance of successive DOA estimators. In order to ease the pass-band response distortion of the matrix pre-filter, a simple approach for designing matrix spatial filter is proposed, which minimizes the sum of the k maximal distortion norm (k is the number of the constraint points) within the pass-band, while constraining the filter response within the stop-band. Considering the costly amount of calculation of the high-resolution methods, an algorithm with small amount of calculation based on matrix pre-filtering and subspace fitting using acoustic vector array (MF -VSSF) is proposed. Through joint processing of signal subspace of both pressure and particle velocity, the pre-filtering matrix and the signal subspace is decreased to M-dimensional (M is the number of array-element), subsequently reduces the time- consumption of the matrix pre-filter design and DOA searching. Simulation results show that, the method offers the same performance as MUSIC with pre-filtering, but with much lesser amount of calculation. Moreover, the designed prefilter can eff iciently suppress the interference in the stop-band and improve the estimation and resolution performance of successive DOA estimators.