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基于酉变换ESPRIT的相干信源DOA估计算法
引用本文:任仕伟,马晓川,鄢社锋. 基于酉变换ESPRIT的相干信源DOA估计算法[J]. 系统工程与电子技术, 2012, 34(8): 1543-1548
作者姓名:任仕伟  马晓川  鄢社锋
作者单位:中国科学院声学研究所声场声信息国家重点实验室, 北京 100190
基金项目:国家自然科学基金(11074270;61002044)资助课题
摘    要:为了增强重构Toeplitz矩阵算法的估计性能,降低计算复杂度,提出了适用于相干信源波达方向估计的Toep UESPRIT算法。它使用利用旋转不变性的信号参数估计代替多重信号分类,避免了谱搜索,并且在构造Toeplitz矩阵的基础上,两次构建centro Hermitian矩阵,利用酉变换将复数域的特征值分解和总体最小二乘问题的求解实数化,使计算量大大降低。同时,由于centro Hermitian矩阵的构造过程重复利用了接收数据,估计精度得到大幅提高。实验仿真和分析证明了该算法的正确性和有效性。

关 键 词:阵列信号处理  波达方向估计  酉变换  相干信源

DOA estimation of coherent signals based on unitary transformation ESPRIT
REN Shi-wei , MA Xiao-chuan , YAN She-feng. DOA estimation of coherent signals based on unitary transformation ESPRIT[J]. System Engineering and Electronics, 2012, 34(8): 1543-1548
Authors:REN Shi-wei    MA Xiao-chuan    YAN She-feng
Affiliation:State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
Abstract:To improve the estimation performance and decrease the calculation complexity, a direction of arrival estimation of coherent signals named Toep UESRPIT is proposed. The estimation of signal parameters via rotational invariance techniques(ESPRIT) instead of multiple signal classification(MUSIC) is used to avoid the peak searching. Based on the Toeplitz matrix, centro Hermitian matrices are constructed twice. Also, eigenvalue decomposition and total least square problems are changed into real ones by unitary transformation to reduce the computational complexity. Besides, the algorithm essentially doubles the number of available measurements. Increased estimation accuracy can, therefore, be achieved. Simulation results and analysis prove the validity and effectiveness of the algorithm.
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