论文标题
跨光谱和频谱平均值的统计数据：对多种仪器的概括
The Statistics of the Cross-Spectrum and the Spectrum Average: Generalization to Multiple Instruments
论文作者
论文摘要
本文介绍了在最低频率下的红噪声过程的功率谱的测量，其中最小习得时间是如此长，以至于不可能在一系列数据记录上平均平均。因此，只有同时观察多种仪器才能平均。我们认为射电天文学是这种情况，但在其他领域，例如气候学和地理学等其他领域都可以找到例子。我们使用两个估计量（频谱平均值和跨光谱）比较了红色噪声参数的贝叶斯置信区间。尽管频谱平均值被广泛使用，但使用多种仪器的跨光谱很少见。借助两种仪器，跨光谱估计器会导致方差 - γ分布。提供了对$ Q $设备的概括，以5台射电望远镜观察毫秒的脉冲星。
This article addresses the measurement of the power spectrum of red noise processes at the lowest frequencies, where the minimum acquisition time is so long that it is impossible to average on a sequence of data record. Therefore, averaging is possible only on simultaneous observation of multiple instruments. This is the case of radio astronomy, which we take as the paradigm, but examples may be found in other fields such as climatology and geodesy. We compare the Bayesian confidence interval of the red-noise parameter using two estimators, the spectrum average and the cross-spectrum. While the spectrum average is widely used, the cross-spectrum using multiple instruments is rather uncommon. With two instruments, the cross-spectrum estimator leads to the Variance-Gamma distribution. A generalization to $q$ devices is provided, with the example of the observation of millisecond pulsars with 5 radio telescopes.
