DETECTION OF THE NUMBER OF SIGNALS - A PREDICTED EIGEN-THRESHOLD APPROACH
DETECTION OF THE NUMBER OF SIGNALS - A PREDICTED EIGEN-THRESHOLD APPROACH
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DOI：
10.1109/78.80959
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发表时间：
1991-05-01
影响因子：
5.4
通讯作者：
REILLY, JP
中科院分区：
文献类型：
--
作者：
CHEN, WG;WONG, KM;REILLY, JP
描述了一种用于检测入射到传感器阵列上的信号数量的新方法。 这种新方法基于寻找阵列输出的相关矩阵的观察到的特征值的上阈值。 多重特征值估计的渐近正态性用于导出阈值的预测公式。 由于新方法的检测误差可以通过参数t来控制，因此新方法的性能在低SNR下优于MDL，在高SNR下优于AIC。 评估漏报和误报误差的分布函数，以便分析新方法的性能并确定t的选择。 给出了仿真结果来证实分析。
A new method for detecting the number of signals incident upon an array of sensors is described. This new method is based on finding upper thresholds for the observed eigenvalues of the correlation matrix of the array output. The asymptotic normality of the multifold eigenvalue estimate is used to derive a prediction formula for the thresholds. Due to the fact that the detection error of the new method can be controlled by a parameter t, the performance of the new method is superior to the MDL under low SNR and superior to the AIC under high SNR. The distribution functions of both missing and false alarm errors are evaluated so that the performance of the new method can be analyzed and the choice of t can be determined. Simulation results are presented to confirm the analysis.