印度季风降雨在太阳活动较高时期较高：小波交叉谱分析
Indian monsoon rainfall is higher in epochs of higher solar activity: a wavelet cross-spectral analysis
摘要：
利用Morlet连续小波变换对1871-1990年的资料进行分析，发现两个太阳活动指数和七个主要的印度季风降水时间序列之间的全球小波互谱在11年太阳活动周期前后表现出显著的功率，在所研究的14个病例中，有10个病例在超过95%的水平上通过了Torrence和Compo（1998）提出的$χ^2$显著性检验。此外，在计算的交叉谱中发现了两个不同的时期，它们之间的过渡发生在1915-1925年的十年左右，超过这十年，太阳活动参数显示出显着的增加。通过在两个时代的每一个太阳活动的三个周期的选定的时期之间的比较，它表明，平均降雨量较高的所有7个降雨指数在更大的太阳活动期间，在{ \it z}-测试的置信水平为95%或更高的其中三个。
英文摘要：
Using the Morlet continuous wavelet transform on data over the period 1871-1990, it is found that the global wavelet cross spectra between two solar activity indices and seven major Indian monsoon rainfall time series show significant power around the period of the 11 year solar cycle, passing the $χ^2$ test of significance proposed by Torrence and Compo (1998) at levels exceeding 95% in 10 out of the 14 cases studied. Furthermore two distinct epochs are found in the computed cross-spectrum, the transition between them occurring around the decade 1915-1925, beyond which solar activity parameters show a significant increase. By comparison between selected periods of three cycles in solar activity in each of the two epochs, it is shown that the average rainfall is higher in all seven rainfall indices during periods of greater solar activity, at {\it z}-test confidence levels of 95% or greater in three of them.
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