地磁活动指数与太阳活动的小波分析

根据1957—2012年的地磁指数Ap、Dst、AE和太阳活动参数(太阳黑子相对数R与太阳射电流量F10.7)数据,利用小波分析方法研究了地磁活动与太阳活动的关系.结果表明,Ap、Dst、AE指数和太阳活动参数均存在准11 a和准22 a的周期特征.Ap和AE峰值滞后于太阳参数峰值1~2 a;而Dst指数与太阳参数存在近似负相关的关系,但从第21太阳周起逐渐延迟于太阳参数,表明地磁活动受太阳活动影响的滞后性.此外,地磁指数峰值从第20太阳周开始有逐渐下降的趋势,反映了地磁活动对太阳活动的响应减弱.     

Long-term variations of solar activity

Using the Lomb-Scargle periodogram we analyzed two sunspot series: the one over the past 11000 years at the 10-year interval based upon the survey data of 14C concentration in tree-rings, recon- structed by Solanki et al.; and the sunspot number over the past 7000 years, derived from geomagnetic variations by Usoskin et al. We found the periods and quasi-periods in solar activity, such as about 225, 352, 441, 522 and 561 a, and near 1000 and 2000 a. An approach of wavelet transform was applied to check the two sunspot time series, with emphasis on investigating time-varying characteristics in the long-term fluctuations of solar activity. The results show that the lengths and amplitudes of the periods have changed with time, and large variations have taken place during some periods.     

Lons-term variations of solar activity

Using the Lomb-Scargle periodogram we analyzed two sunspot series： the one over the past 11000 years at the 10-year interval based upon the survey data of ^14C concentration in tree-rings, reconstructed by Solanki et al.; and the sunspot number over the past 7000 years, derived from geomagnetic variations by Usoskin et al. We found the periods and quasi-periods in solar activity, such as about 225, 352, 441,522 and 561 a, and near 1000 and 2000 a. An approach of wavelet transform was applied to check the two sunspot time series, with emphasis on investigating time-varying characteristics in the long-term fluctuations of solar activity. The results show that the lengths and amplitudes of the periods have changed with time, and large variations have taken place during some periods.     

太阳黑子数与电离层TEC的相关性分析

为了研究电离层TEC与太阳黑子数在短周期上的相关关系,采用1997～2004年的太阳黑子数资料与同期厦门站的电离层TEC数据,利用小波功率谱分析的方法提取3个尺度的短周期,并利用小波相干谱的方法重点研究了两者在278 d周期上的相关性。研究表明：太阳黑子数和电离层TEC主要存在准27 d、准半年周期以及年周期等短周期,而且电离层TEC和太阳黑子在准27 d周期上有良好的相关性。位相计算表明,电离层TEC的变化滞后于太阳黑子数2～3 d。厦门地区TEC与太阳活动的相关性在夏季比其他季节更强,这对提高该地区电离层TEC预报精度有很大意义。     

Cross wavelet analysis of the relationship between total solar irradiance and sunspot number

Using the observational data of total solar irradiance (TSI) from 1976 to 2006, the evolution of total solar irradiance and the rela-tionship between TSI and sunspot number (SSN) have been analyzed with the wavelet technique. The results of the continuous wavelet transform (CWT) indicate that the TSI has multi-scale evolutionary characteristics. In the low frequency band, the TSI and SSN show similar variation with a significant and steady oscillation period from 8 to 11.4 a. While in the high frequency band, only around the maximum time of solar cycles, both the TSI and SSN present a significant intermittent oscillation period from 2 to 6 months. The results of the cross wavelet transform indicate that there is significant in-phase resonance oscillation between the TSI and SSN in 8–11.4 a band, where the variation of the SSN is 2 months ahead of that of TSI. Those results confirm the SSN as the primary cause for TSI’s periodic variation in the time scale of 8–11.4 a. However for the 2–6 month band, significant resonance periodicity is observed only within the maximum time of solar cycle, but the phase relationship between the TSI and SSN is unsteady. Finally, a reliable TSI monthly series from 1878 to 1975 is reconstructed and tested.     

Periodicity of sunspot activity in the modern solar cycles

Sunspot number, sunspot area and sunspot unit area are usually used to show sunspot activity. In this paper,periodicity of sunspot activity of modern solar cycles has been investigated through analyzing the monthly mean values of the three indices in the time interval of May 1874 to May 2004 by use of the wavelet transform. Their global power spectra and local power spectra are given while the statistical tests of these spectra are taken into account. The main results are (1) the local wavelet power spectrum of the sunspot number seems like that of the sunspot area, indicating that the periodicity of the both indices is similar. The local power spectrum of the sunspot unit area resembles the local power spectra of the previous two indices, but looks more complicated. (2) the possible periods in sunspot activity are about 10.6 (or 10.9 years for the sunspot unit area), 31,and 42 years, and the period of about 10.6 years is statistically significant in the considered time. For the periods of about 31 and 42 years, their power peaks are under the 95% confidence level line but over the mean red-noise spectral line, and for the other rest periods, their power peaks are even under the mean red-noise spectral line, which are statistically insignificant. (3) the local power of the three periods is higher in the late stage than in the early stage of the considered time. (4) the period characteristics of the three indices, shown in the global power spectra and the local power spectra, are similar but there is difference in detail.     

Time-variation of the near 5-month period of sunspot numbers

The variation of the near 5-month period of sunspot numbers is discussed on the basis of the wavelet transform of the daily sunspot number series in the 14th—22nd solar cycles. The result shows that the period exists in every cycle and its energy density (amplitude) is comparatively large in the peak section of the cycle. In the distinct cycle, the length and intensity of the period is different, which means that the period varies with time. The near 25-day period is also analyzed and it is found to be timevariable and even not very stable in the peak section of the cycle. The variations of the two periods show that the near 5-month period should not be simply regarded as the multiples of the near 25-day period.     

Wavelet analysis of sunspot relative numbers

The time series of the monthly smoothed sunspot numbers in 1749-2000 is analyzed with the wavelet.The result shows that besides the known time-variation of the period about 11 years, other main periods of the sunspot numbers, such as the periods of about 100 years and so on,vary with time. We suggest that the time-variation of the main periods is the manifestation of the complex variation of sunspot numbers. It is significant to make a thorough study of the character and mechanism of the time-variation of the periods for proving prediction of sunspot numbers, especially for understanding the variation process of sunspot numbers.     

小波技术探测古油松年轮记录的太阳活动信号

利用小波技术以沈阳昭陵古油松为样本建立的古油松年轮宽度年表与太阳黑于活动为研究对象，分析了沈阳的古油松生长与太阳活动的关系。油松在5～8年、10-12年和20-30年周期段对太阳活动表现出积极的响应，呈现5．8、11.5和27.2年的强周期震荡,响应信号在太阳活动的主周期11．1年左右表现最强。太阳黑子活动对油松年轮宽度年表总的影响是负效应，是多种抑、促效应的复合。     

Has the maximum of Solar Cycle 23 appeared?

In this note, we define firstly a compositive parameter as an index describing the level of solar activity in a solar cycle. The parameter is derived from a combination of the smoothed monthly mean sunspot number with the fluctuation of the associated monthly mean sunspot numbers to the smoothed one. Then, a method is developed for estimating the time of the appearance of a solar maximum based on the conception of similar cycles. An application of the method to the 23rd solar cycle shows that the maximum of the cycle should have appeared in the period from April to August 2000, and the descending phase of Cycle 23 has come.     

太阳活动峰年和谷年期间黑子群与耀斑的统计分析

基于NOAA/SWPC公布的太阳活动数据,我们选取第24太阳活动峰年附近的12个连续月份(2011年7月至2012年6月)和第23太阳活动周谷年附近的12个连续月份(2005年7月至2006年6月),统计了这两段时间中太阳黑子群和耀斑的活动规律,并根据时间、黑子群分布纬度、寿命和磁场类型等对峰年和谷年进行了详细分析和比较,主要结论如下所述.(1)黑子群数随时间的变化在峰年和谷年均比较随机,峰年期间黑子数比谷年增多1.5倍左右.耀斑爆发与黑子群活动具有良好的相关性,但峰年期间存在某个月份耀斑数很少的现象,而谷年期间存在某个月份耀斑数集中增多的现象.(2)无论峰年还是谷年,δ类型黑子群的耀斑产率(耀斑总数与黑子群总数之比)最大,但β型黑子群产生的耀斑爆发最多.耀斑产率与磁场类型有密切关系,但与其所处太阳活动周中的阶段无关.(3)黑子群和耀斑的纬度分布的南北不对称性,以X级耀斑最为显著.峰年较谷年的耀斑数增加主要集中在C级和M级.(4)耀斑产率同黑子群寿命具有良好的相关性,但黑子群的数目同它们的寿命之间没有明显的规律.     

Unusual activity of the Sun during recent decades compared to the previous 11,000 years

Direct observations of sunspot numbers are available for the past four centuries, but longer time series are required, for example, for the identification of a possible solar influence on climate and for testing models of the solar dynamo. Here we report a reconstruction of the sunspot number covering the past 11,400 years, based on dendrochronologically dated radiocarbon concentrations. We combine physics-based models for each of the processes connecting the radiocarbon concentration with sunspot number. According to our reconstruction, the level of solar activity during the past 70 years is exceptional, and the previous period of equally high activity occurred more than 8,000 years ago. We find that during the past 11,400 years the Sun spent only of the order of 10% of the time at a similarly high level of magnetic activity and almost all of the earlier high-activity periods were shorter than the present episode. Although the rarity of the current episode of high average sunspot numbers may indicate that the Sun has contributed to the unusual climate change during the twentieth century, we point out that solar variability is unlikely to have been the dominant cause of the strong warming during the past three decades.     

用数字信号处理方法分析太阳黑子活动的周期性

太阳黑子数是描述太阳活动水平的主要指标,太阳活动直接影响人类健康和人类赖以生存的环境—地球;依据数字信号处理原理,采用多种处理方法,分析处理了1770-1869年的太阳黑子数年均值;得出了太阳黑子存在11-12年周期的结论.结果表明该方法对研究太阳活动规律乃至天体规律是有效的.     

1644-1911年云贵地区旱涝灾害的周期特征以及对太阳黑子活动的响应

为探究历史时期气候灾害特征及影响因子,建立了清代1644-1911年云贵地区的旱涝指数序列,采用滑动t检验和总体经验模态分解（EEMD）分析了清代云贵地区旱涝灾害的突变特征和多时间尺度周期性特征,研究表明：清代云贵地区旱涝指数整体较平稳,呈现先明显增加后减少,然后趋于平稳,清末又明显增加的趋势,旱涝指数序列具有多个跃变点,且具有显著的2.8 a和6.6 a年际周期,13.0 a和40.2 a的年代际周期.由旱涝灾害年次和年均县次比的空间分布图发现,其具有同旱同涝的空间分布特征.由于13.0 a的周期与太阳黑子相对数序列的周期接近,故采用交叉小波分析着重探究了太阳黑子活动对云贵地区旱涝变化的影响,发现云贵地区旱涝指数序列同太阳黑子相对数序列在3~6 a的时间尺度具有强凝聚性共振周期.     

基于小波变换和频谱分析的交叉口群路径分级方法

为确定交叉口群的关键路径,建立了基于小波变换和频谱分析的路径分级模型.根据交叉口群交通关联性强的特点,通过小波变换对交通检测数据的降噪,以突显其短时变化特性;计算上下游交叉口进口流向交叉谱的一致性和位相,确定上下游流向的关联性和统计滞后关系,得出流向的特征向量,并应用模糊识别方法将路径分级,确定交叉口群的关键路径.采用南京市广州路交叉口群实测交通数据验证模型的有效性.结果表明,模型可实现交叉口群的路径分级,并识别其关键路径,为交叉口群交通信号协调控制奠定基础.     

川东北宋家洞石笋氧碳同位素周期分析

对采自川东北宋家洞的石笋SJ3的氧碳同位素值进行了小波分析和REDFIT分析,得到以下结果:(1)氧同位素值在18.3～17.5 ka有显著的174 a的周期,碳同位素值在16.2～15.4ka、18.3～17.8ka有显著的174 a的周期;(2)氧碳同位素值的周期与太阳活动周期有关。这些表明石笋记录在短时间尺度上与太阳活动存在显著关联。     

第23周太阳活动不对性分析

运用了二个太阳活动指数,即太阳黑子群数和黑子面积来分析第23周太阳活动的不对称性,文中引进了一个新概念“累计的不对称性”来描述太阳活动的不对称性分布,进一步通过计算两个半球上太阳活动指数的实际概率说明了太阳活动的不对称性。结果显示：（1）在第23周开始的前6年左右,太阳活动存在微弱的不对称性;（2）不同太阳活动现象或指数的不对称性,并不发生在同一活动周的同一时期。     

BL Lac天体OJ 287射电流量的交叉小波分析

将BL Lac天体OJ 287射电4.8,8.0和14.5 GHz波段从1978–2010年的有效观测数据进行整理,获得了其长期光变曲线,用小波功率谱和交叉小波方法分别分析了其主要振荡周期和彼此之间的相关性及其时延.小波功率谱分析结果表明,OJ 287射电4.8,8.0和14.5 GHz流量存在准6个月、8–16个月和16–32个月的主振荡周期,光变周期为0.54?0.04,1.12?0.07,2.49?0.08年,主振荡周期主要出现在1980–1994年和2000–2007年时间段.交叉小波分析发现OJ 287射电波段之间正相关振荡的凝聚性很强,具有强的关联性,在8–16和16–32个月共振周期尺度上的相关性高.射电波段的爆发在16–32个月的振荡周期尺度上几乎是同时性的,在8–16个月的振荡周期尺度上存在20±6天的时间延迟,高频波段领先低频波段.     

第22太阳活动周软X射线耀斑的统计研究

根据GOES卫星资料 (1～ 8 ) ,统计了第 2 2太阳活动周 (1986 .9～ 1996 .10 )软X射线耀斑数 ,共计 2 0 930个耀斑 ,其中X级最少 ,不到 1% ;M级为 10 % ;C级最多 ,约占 6 0 % .统计发现 ,此活动周有两个峰 ,分别在 1989年和 1991年 ,1989年平均耀斑指数为 4 2 7,1991年为 4 6 8;C、M及X级耀斑数在活动周的上升期迅速增大 ,两年多时间就达到极大 ;而下降期缓慢减小 ,长达 4年多 ;耀斑发生率随软X射线峰值流量的变化呈幂律谱分布 ,谱指数为 - 2 .135 ,相关系数为- 0 .987;小耀斑易受背景影响 ,B级耀斑以及C级耀斑中的较小者在峰年及其前后往往湮没在背景中 ,无法辨别 .还发现X射线耀斑的光学对应体 (Hα耀斑 )与X射线耀斑的比率随X射线耀斑级别的增高而增大 ,X级的光学对应体达 94 % ,M级为 83% ,C级为 6 3% ,B级只有 30 % .     

基于小波分解的色噪声预测

研究色噪声的预测．将小波分析理论与神经网络建模预测基本原理相结合，提出了基于小波分解的神经网络预测方法．通过对年平均太阳黑子数典型统计模型的预测，验证了该方法的预测效果．将该预测方法用于色噪声的预测研究，通过改变对色噪声的采样速率，分析了色噪声预测的可能性和效果．研究结果表明，色噪声是可以预测的；对其预测的误差随采样率的提高而减小；基于小波分解的神经网络预测方法的预测精度优于线性神经网络预测方法．