AOA Estimation Based on MP Algorithm in Beam-Space Using Rotational Invariance Technique

Yu Yang, Wang Jiang-ying
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Abstract

A novel algorithm using Rotational Invariance technique for AOA estimation is presented in this paper, which is based on sparse decomposition of signal, and applied into beam-space against the deficiencies of traditional DF algorithms and sub-space algorithms. The former methods are widely used in actual applications. However, they have many drawbacks such as low-resolution, bad robustness and etc. The latter ones which base on subspace method have gained great interest in the past two decades. What we know about this kind of methods are their super-resolution quality and their weaknesses as well, e.g. constrained by the number of elements, behaving badly when correlativity of sources grows. Approach proposed in this paper fist constructs atom-dictionaries using outputs of second sub-array and then transforms observations of fist sub-array and dictionaries in array-space to beam-space, and finally obtains AOAs through thinning sectors by solving least squares problems. Numerical simulations have proved the effectivity of the algorithm and good performance in low signal-to-noise ratio (SNR) regime.
基于旋转不变性波束空间MP算法的AOA估计
针对传统DF算法和子空间算法的不足,提出了一种基于信号稀疏分解的旋转不变性AOA估计算法,并将其应用于波束空间。前两种方法在实际应用中得到了广泛应用。然而,它们存在着分辨率低、鲁棒性差等缺点。后一种基于子空间方法的方法在近二十年来得到了极大的关注。我们所知道的是这种方法的超分辨率和缺点,例如受元素数量的限制,当源的相关性增加时表现不佳。该方法首先利用第二子阵的输出构造原子字典,然后将第一子阵和字典在阵列空间的观测值转换到波束空间,最后通过求解最小二乘问题对扇区进行细化得到aoa。数值仿真证明了该算法的有效性和在低信噪比下的良好性能。
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