关键词: 逆波束形成, 傅立叶积分法, 自回归模型, 前向后向平均

Abstract: The Inverse Beamforming（IBF） theory uses the cross-spectral functions at elements to estimate the acoustic field plane-wave density.Compared to the conventional beamforming，IBF provides much better performance in direction-of-arrival estimation and interference suppression. Based on the IBF theory and its Fourier solutions，this paper developed a new solution to the IBF integral equation based on the modified auto-regressive model and formed a corresponding method for DOA estimation. This method makes full use of the receiving information of the array and views the receiving signal of each element as a spatial sequence satisfying a certain parametric model. The forward-backward averaging was employed to overcome the imprecise problem of the covariance matrix which occurred when there were only few snapshots available for a low SNR target signal.Together with theoretical deduction，computer simulation showed the feasibility and effectiveness of this approach in solving the IBF integral equation and DOA estimation.

Key words: inverse beamforming, Fourier integral method, auto-regressive model, forward-backward averaging