Research On FRI-DOA Estimation Algorithm Based On Polarization Sensitive Array

Direction of arrival(DOA)estimation is an important branch in the field of array signal processing,and polarization sensitive arrays have advantages over traditional scalar arrays in terms of anti-interference,stable detection and resolution due to their ability to receive both air domain and polarization domain information of incoming electromagnetic wave signals.Therefore,this paper mainly studies the multiple signal classification(MUSIC)algorithm and finite rate of innovation(FRI)-DOA estimation algorithm based on polarization sensitive array.FRI-DOA algorithm does not need to divide the spatial angle domain into grid,which effectively solves the grid mismatch problem of sparse reconstruction algorithms and has higher estimation performance compared with subspace algorithms and sparse reconstruction algorithms,and the main achievements are as follows:Firstly,for the need of special conformal arrays in practical engineering applications,this paper proposes a distributed polarization-sensitive stereo array model with arbitrary array placement in three-dimensional space and the gain and phase errors calibration method combined with rank-defect MUSIC algorithm,and the algorithm is implemented in the digital signal processor(DSP).The calibration method is divided into two processes: firstly,the polarization response of each array element and the inherent influence of the different longitudinal delays of the stereo array are eliminated.And then,the inconsistency of gain and phase is solved to calibration the array steering vector.The effectiveness of the method is demonstrated by simulations and hardware implementation tests.Secondly,the FRI-DOA estimation model is extended to the polarization sensitive array,and a one-dimensional FRI-DOA estimation model based on the orthogonal dipole line array is given to realize the joint estimation of one-dimensional DOA and polarization parameters.The model divides the array into two one-dimensional sub-arrays with different antenna polarization pointing.And the sum of the covariance data vectors of the sparse mutual prime sub-arrays or uniform linear sub-arrays can be recovered to the uniformly sampled form by the matrix completion or covariance fitting criterion.So that the system of equations for annihilation filter can be constructed by substituting into the FRI-DOA estimation model,and the DOA estimation results can be solved by the double iterative alternating minimization algorithm.After that,the joint estimation of signal parameters is achieved by solving the polarization parameter estimates based on the DOA estimation results and the least-squares method.Simulation experiments demonstrate the effectiveness of the algorithm and its superiority over subspace algorithms and sparse reconstruction algorithms.Finally,a two-dimensional FRI-DOA estimation model based on an L-shaped single dipole array is given to realize the joint estimation of two-dimensional DOA and polarization parameters.The model divides the array into two line sub-arrays according to the separable property of the L-shaped array and the different directions of antenna polarization pointing.The two-dimensional DOA estimation results are solved by two one-dimensional FRI-DOA problem of the sub-arrays.After that,the polarization parameter estimation results are solved according to the DOA estimation results and the generalized eigenvalue method.Simulation experiments demonstrate the effectiveness as well as the superiority of the algorithm.