相关色噪声下无冗余累积量稀疏表示DOA估计

发布时间：2018-12-13 17:17

【摘要】：针对传统均匀线阵中四阶累积量计算复杂度大、对快拍数敏感的问题,提出了一种快速去冗余的高分辨波达方向估计新方法。该方法首先通过构造选择矩阵对四阶累积量矩阵进行第1次降维处理,摒弃传统四阶累积量中大量冗余数据,然后对无冗余累积量矩阵进行矢量化并通过二次降维得到统计性能更优的向量观测模型,最后在相应的过完备基下建立观测模型的稀疏表示进行波达方向(Direction of Arrival,DOA)估计。同时将方法推广到L型阵列2维DOA估计,扩展了其应用范围。与传统的四阶累积量方法相比,该方法大大地减小了计算量,对快拍数要求不高,并且能够有效地抑制相关色噪声。理论分析和仿真实验验证了该方法对1维和2维DOA估计都具有较高的估计精度和分辨率。
[Abstract]:In order to solve the problem that the fourth order cumulant in traditional uniform linear array is very complex and sensitive to the number of beats, a new method of high resolution DOA estimation is proposed. In this method, the fourth order cumulant matrix is reduced for the first time by constructing the selection matrix, and a large amount of redundant data in the traditional fourth-order cumulant is discarded. Then the vector observation model with better statistical performance is obtained by vectorization of the non-redundant cumulant matrix and the vector observation model with better statistical performance is obtained by quadratic dimension reduction. Finally, the sparse representation of the observation model is established under the corresponding overcomplete basis to estimate the direction of arrival (Direction of Arrival,DOA). At the same time, the method is extended to L type array 2 dimensional DOA estimation, and its application range is extended. Compared with the traditional fourth-order cumulant method, the proposed method greatly reduces the computational complexity, requires less rapid-beat number, and can effectively suppress the correlated color noise. Theoretical analysis and simulation results show that the proposed method has high accuracy and resolution for both 1-D and 2-D DOA estimation.
【作者单位】：桂林电子科技大学广西信息科学实验中心;
【基金】：国家自然科学基金(61461012,61371186) 广西无线宽带通信与信号处理重点实验室基金(GXKL06160110) 广西物联网技术及产业化推进协同创新中心资助项目(WLW20060205) 桂林电子科技大学研究生教育创新计划(2016YJCX87)~~
【分类号】：TN911.23

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