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METHOD FOR ESTIMATING THE NUMBER OF INCIDENT SOURCES IN A SENSOR ARRAY BY MEANS OF ESTIMATING NOISE STATISTICS
METHOD FOR ESTIMATING THE NUMBER OF INCIDENT SOURCES IN A SENSOR ARRAY BY MEANS OF ESTIMATING NOISE STATISTICS
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机译:估计噪声统计量的传感器阵列中突发事件数量的方法
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摘要
The invention relates to a method and system for determining the number of incident sources in an array that comprises C sensors receiving N observations, said method comprising at least the following steps: calculating the matrix B and the eigenvalues {λ1,…, λN} thereof obtained from a signal received on C sensors; classifying the eigenvalues {λ1,…, λN} so as to obtain λ1≥… ≥ λN; initializing from i to i= M + 1 and i = i - 1; calculating the mean and the standard deviation of the noise eigenvalues; calculating the mean of the N - i lowest eigenvalues of the matrix B; and calculating the standard deviation of the N - i lowest eigenvalues of the matrix B. If λ1 λmoy + ησ, then said eigenvalue belongs to the signal space, and the number of sources present in the mixture is equal to i, where η is a threshold that makes it possible to monitor the probability of a false alarm. If λ1 λmoy + ησ, said eigenvalue belongs to the noise space, and the steps are repeated.
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机译:本发明涉及一种用于确定包括接收N个观测值的C个传感器的阵列中的入射源的数量的方法和系统,所述方法至少包括以下步骤:计算矩阵B和特征值{λ 1 Sub>,…,λ N Sub>}是从C传感器接收到的信号中获得的;对特征值{λ 1 Sub>,…,λ N Sub>}进行分类以获得λ 1 Sub>≥…≥λ N Sub >;从i初始化为i = M +1和i = i-1;计算噪声特征值的平均值和标准偏差;计算矩阵B的 N-i I>个最低特征值的平均值;并计算矩阵B的 N-i i>个最低特征值的标准偏差。如果λ 1 Subλ moy Sub> + η< / I> σ I>,则所述特征值属于信号空间,并且混合信号中存在的源数等于i,其中η I>是使其阈值可能监视错误警报的可能性。如果λ 1 Subλ moy Sub> + η I> σ I>,则所述特征值属于噪声空间,其步骤为重复。
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