The first gravitational-wave (GW) signal was detected in the year 2015 indicating tiny distortions of spacetime caused by accelerated masses. We focused on the GW signals consisting of a peak GW strain of that shows merging pairs of large masses. We applied the generalized entropy known as multiscale entropy to the GW interval time series recorded by different observatories (H1, L1, and V1). This enables us to investigate the behavior of entropies on different scales as a method of studying complexity and organization. We found that the entropies of GW interval data with similar physical properties make the identical manner in different scales. Moreover, the results reveal that the signals collected by each observatory have approximately a similar trend in the multiscale analysis results. According to our findings, although different signals have different values for short-range correlations, the long-range correlations are not noticeable in most of them.

中文翻译：

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引力波的多尺度熵分析

在2015年检测到第一个重力波（GW）信号，表明由加速质量引起的时空微小失真。我们专注于GW信号，该信号由GW的峰值GW应变组成显示合并成对的大质量。我们将被称为多尺度熵的广义熵应用于不同天文台（H1，L1和V1）记录的GW间隔时间序列。这使我们能够研究不同规模的熵的行为，作为研究复杂性和组织性的一种方法。我们发现具有相似物理性质的GW间隔数据的熵在不同尺度上以相同的方式进行。此外，结果表明，每个天文台收集的信号在多尺度分析结果中具有近似相似的趋势。根据我们的发现，尽管不同信号的短程相关值不同，但大多数情况下长程相关性并不明显。