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模值约束的降维 MUSIC 二维 DOA 估计

         

摘要

利用传统二维多重信号分类(multiple signal classification,MUSIC)算法进行二维波达方向(direc-tion of arrival,DOA)估计时,往往带来巨大的运算量,限制了算法的实际应用。提出了一种能够大大降低二维DOA 估计运算量的模值约束降维 MUSIC 算法,该算法将二维 DOA 估计问题转化为优化方程的求解问题,并采用模值约束法定义附加条件,使方向向量得到了较强约束,进而使求解结果更加接近最优解。理论分析和仿真实验表明,本文算法所需运算量较低,且角度估计的成功率与精确度较高。%A large amount of computation is required when using the traditional two-dimensional multiple signal classification (2D-MUSIC)algorithm for two-dimensional direction of arrival (DOA)estimation,so the practical application of 2D-MUSIC algorithm is limited.A reduced-dimensional MUSIC algorithm using the modulus constraint to solve the computation-intensive problem in two-dimensional DOA estimation is proposed. The proposed algorithm can distinctly reduce the computational load,because the two-dimensional DOA estima-tion can be decomposed into two stages of one-dimensional DOA estimation by the quadratic optimization meth-od.In this algorithm,the modulus constraint is used to construct the constraint condition of the quadratic opti-mization function,and the steering vectors are strongly constrained in the solving process,so the result is closer to the optimal solution than the other’s.The theoretical analysis and simulation results show that the proposed algorithm not only requires less computation,but also performs well in success rate and precision of angle esti-mation.

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