中文摘要：

以实测的海量高频水文数据为研究对象,用多尺度小波分析法研究了非平稳时间序列的长程相关性(LRD).通过与模拟的分型高斯噪声(FGN)对比分析,发现了采样时间与小波尺度存在一致性关系,并用基于Legendre分形谱的多尺度图证明了此类数据中存在重分形特性.实验结果表明:水文数据具有重分形特性,且用多尺度小波分析法分析LRD特性是可靠且有效的.

英文摘要：

Long-rang dependence (LRD)of the non-stationary time series was studied based on wave-let multi-scale analysis with mass high frequent hydrological data.Compared with the simulated frac-tal Gaussian noise (FGN),a consistency relationship between sampling intervals and wavelet scales was found and proved.Using multi-scale diagram based on Legendre multi-fractal spectrum,the multi-fractality was also proved to exist in the hydrological data.The results present that the hydro-logic data has multi-fractality property and the multi-scale wavelet analysis is valid and reliable.