A pseudoinverse update algorithm for rank-reduced covariance matrices from 2-D data
A pseudoinverse update algorithm for rank-reduced covariance matrices from 2-D data
复制标题
二维数据降秩协方差矩阵的伪逆更新算法
DOI：
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复制
发表时间：
1997
影响因子：
3.9
通讯作者：
W. Lu
中科院分区：
文献类型：
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作者：
G. Robertson;R. Kirlin;W. Lu
许多算法具有比普通波束形成器更高的分辨率。这些通常需要计算矩阵的伪逆，这使得算法对于重复应用非常缓慢。我们考虑在时间或空间上更新窗口运动的伪逆，用于从线性阵列获取的二维（2-D）数据。我们的结果表明，可以降低多个旁瓣抵消器（MSC）的计算复杂度，例如，对于向下窗口移动（随时间），可以降低75%以上，对于横向窗口移动（跨迹线），可以降低55%以上。
A number of algorithms have a higher resolution than the common beamformer. These often require the calculation of a pseudoinverse of a matrix, which makes the algorithm very slow for repeated applications. We consider updating the pseudoinverse for window motions either in time or in space for two-dimensional (2-D) data taken from a linear array. Our results are shown to reduce the computational complexity of the multiple sidelobe canceller (MSC), for example, by more than 75% for a downward window movement (with time) and more than 55% for a sideways window movement (across traces).