基于对称谱的宽带相干信号快速DOA估计  

Fast DOA estimation for coherent wideband sources based on symmetrical spectrum

作　　者：曾耀平[1,2] 杨益新[1] 卢光跃[2] 

机构地区：[1]西北工业大学航海学院,西安710072 [2]西安邮电大学通信与信息工程学院,西安710121

出　　处：《计算机应用》2013年第12期3469-3472,3476,共5页journal of Computer Applications

基　　金：国家自然科学基金资助项目(61271276)

摘　　要：针对聚焦类宽带信号方位估计算法运算量较大的问题,提出了一种快速算法。首先利用矩阵的Toeplitz化重构,不用对阵列进行子阵分割,就可实现宽带信号的解相干;然后根据接收数据协方差矩阵的厄尔米特特性,利用酉变换将复数矩阵映射为实数矩阵,通过在实数域特征分解,降低了特征分解的计算复杂度;最后通过投影子空间正交技术,利用噪声子空间和共轭噪声子空间重新构造空间谱,根据谱对称性,在半谱内搜索即可得到信号的角度,同时使谱峰搜索的运算量降低了一半。理论分析及仿真结果表明,新算法无需聚焦运算,精度较高,运算量小,对宽带相干信号有效。A new fast algorithm was proposed to solve the heavy computational load of coherent wideband signal DOA （ Direction Of Arrival） estimation. Firstly, through Toeplitz technique of matrix, incoherent wideband signals were obtained without any division for the array. Secondly, according to the character of Hermitian matrix of received data, utilized the unitary transformation matrix, the real matrix could be acquired and the computation of eigendecomposition could be decreased. Finally, through the orthogonality technique of projected subspaees, new space spectrum was acquired with noise subspace and conjugate noise subspace, and the DOA could be obtained just through the angle search from zero to ninety degree in semi-spectrum according to the symmetrical spectrum, while the computational complexity for the search of speetrum peak was reduced by half. The theoretical analysis and simulation results show that the new algorithm has higher precision and smaller computational load, and it is effective for wideband coherent signals.

关 键 词：宽带信号 波达方向估计 投影子空间 正交性 Toeplitz化 

分 类 号：TN957.52[电子电信—信号与信息处理]