标题： 去趋势对多重分形特性的影响 显示英文标题

标题： Effect of detrending on multifractal characteristics

摘要： 为了研究各种（人工和真实世界的）时间序列，应用了MFDFA技术的不同变体。 我们的分析表明，计算得到的奇异性谱对用于MFDFA方法中的去趋势多项式的阶数非常敏感。 多分形谱宽度（以及Hurst指数）与计算中使用的多项式阶数之间的关系显而易见。 此外，这种关系的类型本身取决于所分析信号的种类。 因此，这样的分析可以为我们提供关于被研究时间序列相关结构的一些额外信息。 显示英文摘要

摘要： Different variants of MFDFA technique are applied in order to investigate various (artificial and real-world) time series. Our analysis shows that the calculated singularity spectra are very sensitive to the order of the detrending polynomial used within the MFDFA method. The relation between the width of the multifractal spectrum (as well as the Hurst exponent) and the order of the polynomial used in calculation is evident. Furthermore, type of this relation itself depends on the kind of analyzed signal. Therefore, such an analysis can give us some extra information about the correlative structure of the time series being studied.