摘要
从矩阵分解的角度研究了均匀线阵信号参数的可辨识性问题.在范得蒙结构约束条件下实现接收信号矩阵的唯一分解.运用交换引理和范德蒙矩阵的结构性质,给出了均匀线阵信号参数的可辨识条件,并将参数的可辨识条件扩展到相关信源情况和多径传输情况.从矩阵分解的角度得到的阵列信号参数的辨识条件给出了阵列信号参数估计算法有效的必要条件,阵列信号参数仅与接收天线的阵列流形和信号的结构有关,与具体的参数估计算法无关.
We study parameter identification of uniform linear array signals in this work. The received signal matrix is uniquely decomposed under the Vandermonde structure constrains. Parameters of the signal received from uniform linear antennae (ULA) are then identified by exploiting the permutation lemma. The result is extended to the case of dependent sources and multipath transmission by exploiting the property of Khatri-Rao product structure. The matrix-decomposition-based identification results of array signal parameters provide a necessary condition for the effectiveness of parameter estimation algorithms. They are independent of specific parameter estimation algorithm, but only depend on the structure property of array manifold and signals.
出处
《应用科学学报》
EI
CAS
CSCD
北大核心
2010年第1期49-55,共7页
Journal of Applied Sciences
基金
国家自然科学基金(No.60801052)
航空科学基金(No.2009152001)
江苏省产学研基金(No.BY2009100)
江苏省普通高校自然科学研究计划基金(No.09KJB520007)
南京航空航天大学科研启动项目基金(No.S0918-042)资助