Signal-to-noise-ratio and maximum-signal-to-noise-ratio detection statistics in template-bank searches for exotic physics transients with networks of quantum sensors
Signal-to-noise-ratio and maximum-signal-to-noise-ratio detection statistics in template-bank searches for exotic physics transients with networks of quantum sensors
复制标题
DOI：
10.1103/physreva.105.013106
复制
发表时间：
2021-09
影响因子：
2.9
通讯作者：
T. Daykin;Chris Ellis;A. Derevianko
中科院分区：
文献类型：
--
作者：
T. Daykin;Chris Ellis;A. Derevianko
信噪比检测统计量有着广泛的应用。当来自特定模板的SNR超过由期望的假阳性率设置的阈值时，记录潜在事件。在模板库搜索中，SNR统计量的推广是SNR-max统计量，定义为来自单个模板匹配的SNR绝对值的最大值。当单个信噪比实现为高斯分布时，信噪比最大概率分布为非高斯分布。此外，由于使用相同的网络数据流计算各个模板库的SNR，因此模板之间的SNR变得相关。跨模板相关性对信噪比最大概率分布和阈值信噪比最大值有很大影响。计算大型银行的门限SNR-max值在计算上是不可行的，我们发展了计算SNR-max统计量性质的解析方法。这对于接近正交的模板库和具有大约最可能的交叉模板相关值的交叉模板相关系数的库来说是这样做的。由于交叉模板相关系数量化了模板的相似性，因此增加相关性会降低假阳性率特定值的SNR-max阈值。增加库中模板的数量会增加SNR-max阈值。我们的推导是针对可能表现出色噪声和跨节点相关性的网络而进行的。具体的应用通过原子钟的暗物质搜索和具有循环旋转对称性的“玩具”平面网络来说明。
Signal-to-noise ratio (SNR) detection statistic has wide-spread applications. A potential event is recorded when the SNR from a specific template exceeds a threshold set by a desired false positive rate. In template bank searches, the generalization of the SNR statistic is the SNR-max statistic, defined as the maximum of the absolute value of SNRs from individual template matching. While individual SNR realizations are Gaussian distributed, SNR-max probability distribution is non-Gaussian. Moreover, as the individual template-bank SNRs are computed using the same network data streams, SNRs become correlated between templates. Cross-template correlations have sizable effect on the SNR-max probability distribution, and the threshold SNR-max values. Computing threshold SNR-max values for large banks is computationally prohibitive and we develop analytic approaches to computing properties of SNR-max statistic. This is done for nearly orthogonal template banks and for banks with cross-template correlation coefficients"squeezed"about the most probable cross-template correlation value. Since cross-template correlation coefficients quantify similarity of templates, increasing correlations decrease SNR-max thresholds for specific values of false positive rates. Increasing the number of templates in the bank increases the SNR-max thresholds. Our derivations are carried out for networks that may exhibit colored noise and cross-node correlations. Specific applications are illustrated with a dark matter search with atomic clocks and a ''toy'' planar network with cyclic rotational symmetry.