The noise sound sources localization method used in shallow water is proposed.The proposed method establishes the array signal model according to the characteristics of the underwater acoustic multi-path channel

and makes use of the multi-path information and the coherent matched idea to construct the spatial focused steering vector which is in accordance with the actual sound propagation characteristics.As a result

the proposed method can not only overcome the multi-path effect but also improve the localization accuracy.Furthermore

we take the ideas of the focused beamforming based on the worst-case performance optimization for reference

and impose constraint conditions on the actual focused steering vectors to improve the optimum weight vectors and spatial spectrum form.It turns out that this method involves a quadratic minimum problem subject to non-linear constraints.Through the discussion and analysis of the spatial spectrum structure

localization errors

-3dB beamwidth

peak and sidelobe ratio (PSR)

we present the relationships between the constraint parameter choices and the mismatch errors.It is proved that the proposed algorithm can improve the robustness of the high resolution method MVDR(Minimum Variance Distortionless Response)

and obtain sharper spectrum peaks and better noise interference suppression ability.