非对角噪声协方差阵的射电天文台阵自校准
Self-Calibration of Radio Astronomical Arrays With Non-Diagonal Noise Covariance Matrix
摘要：
射电天文学界目前正在建造一些相控阵望远镜。这些望远镜的校准受到这样一个事实的阻碍，即来自密集天线的信号的协方差对噪声耦合和大空间尺度上天空亮度的变化很敏感。这些影响是困难的，计算昂贵的模型。我们建议使用非对角噪声协方差矩阵对它们进行现象学建模。可以使用加权交替最小二乘（WALS）算法在校准参数和附加干扰参数之间迭代来估计参数。我们证明了我们的方法的有效性，从低频阵列（LOFAR）原型站的数据。
英文摘要：
The radio astronomy community is currently building a number of phased array telescopes. The calibration of these telescopes is hampered by the fact that covariances of signals from closely spaced antennas are sensitive to noise coupling and to variations in sky brightness on large spatial scales. These effects are difficult and computationally expensive to model. We propose to model them phenomenologically using a non-diagonal noise covariance matrix. The parameters can be estimated using a weighted alternating least squares (WALS) algorithm iterating between the calibration parameters and the additive nuisance parameters. We demonstrate the effectiveness of our method using data from the low frequency array (LOFAR) prototype station.
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