基于MUSIC算法波达方向估计的仿真实现

Simulation Implementation of Direction of Arrival Estimation based on MUSIC Algorithm

波达估计技术对感兴趣的空域信号进行各种处理、计算,实现对信号到达方向等参数的准确估计。它的本质要求在于研究估计精度高、角度分辨率高、运算速度快和易于工程实现的算法。通过对中心对称性阵列结构的数学分析,研究基于噪声子空间的MUSIC工程实现算法,在不减少估计精度和角度分辨率的前提下,减少了算法的实现复杂度。利用各阵元通道正交下变频并滤波后的数据构造实对称协方差矩阵,然后对其进行实特征分解,并通过极值搜索得到来波估计值。最后,对算法具体工程实现思路进行MATLAB仿真,验证了该算法实现路线的正确性和可行性。

The direction of arrival estimation technique performs various processing and calculation on the airspace signal and achieves the accurate estimation of parameters such as the direction of arrival of the signal. The essential requirement lies in the probe of algorithms that have high estimation accuracy, high angular resolution, fast computation speed, and easy engineering implementation. Based on mathematical analysis of the central symmetry array structure, the MUSIC engineering implementation algorithm based on noise subspace is explored, and the implementation complexity of the algorithm is reduced without the decrease of estimation accuracy and angular resolution. The real symmetric covariance matrix is constructed by using the frequency-converted and filtered data in the orthogonal ease of each array element channel. Then, the real feature decomposition is carried out, and the estimated wave value is obtained by the extreme value search. Finally, the MATLAB simulation is done on the algorithm implementation of specific engineering, indicating the correctness and feasibility of this algorithm.