Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array

doi:10.12382/bgxb.2024.1053

Abstract

Abstract:

To reduce the computational complexity of the gridless matrix reconstruction method for L-shaped coprime array and improve the success probability of angle matching under low signal-to-noise ratio,a low complexity gridless two-dimensional direction-of-arrival (DOA) estimation method for L-shaped coprime array is proposed.The proposed method utilizes the conjugate augmentation method to realize the array virtual extension of x-axis and z-axis coprime arrays by solving the cross-correlation functions between array elements.According to the idea of matrix-form atomic norm,the array interpolation is realized by the decoupled atomic norm minimization method; The estimated value of the angle between axes is obtained by the root multiple signal classification (MUSIC) method.According to the spatial consistency between the signal subspace and the array manifold matrix,the angle matching is realized by solving the cost function.To further reduce the computational complexity,the matrix-form atomic norm is combined with the unitary transformation,and the unitary array interpolation is realized by the real-valued decoupled atomic norm minimization method.The results show that,on the one hand,the proposed method improves the accuracy of DOA estimation,reduces the computational complexity,and enhances the probability of successful angle matching.On the other hand,the computational complexity is further reduced by sacrificing part of the DOA estimation accuracy and array degrees of freedom.The feasibility and advantages of the proposed method are verified through simulation experiments.

Key words: two-dimensional DOA estimation, L-shaped coprime array, virtual extension, decoupled atomic norm minimization, unitary transformation, angle matching

CLC Number:

TN911.7

WANG Xuhu, FENG Honghao, ZHENG Lei, HAN Jing, LIU Yongwei, SUN Gaoli, CHEN Jianjun, WANG Xinjie. Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array[J]. Acta Armamentarii, 2025, 46(9): 241053-.

Figures/Tables 9

Fig.1 L-shaped coprime array structure

Fig.2 One-dimensional coprime array structure

Fig.3 Steps of the proposed method 1

Fig.4 Steps of the proposed method 2

Fig.5 The relationship between RMSE of incident signal angles and SNR

Fig.6 The relationship between RMSE of incident signal angles and the number of snapshots

Fig.7 Two-dimensional DOA estimated results in the case of multiple signal sources

Fig.8 The relationship between the probability of successful angle matching and SNR

Fig.9 The relationship between the average running time of a single time and the number of snapshots

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