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中文摘要：
以包钢6号高炉、邯钢7号高炉和莱钢1号高炉在线采集的铁水含硅量（[Si]）的时间序列为样本,利用多分辨分析剔除样本的长期趋势,对样本保留的波动趋势进行多重分形特征辨识.通过计算广义Hurst指数、尺度函数、多重分形谱,全面、细致量化了序列的局部及不同层次的波动奇异性.计算结果表明：去除长期趋势后,三座高炉[Si]序列的波动呈现显著多重分形特征,这样的波动过程仅用单一的Hurst指数或box维数来描述是不够的.
英文摘要：
With data of silicon content in hot metal collected respectively from No.6 blast furnace of Baotou Steel,No.7 blast furnace of Handan Steel and No.1 blast furnace of Laiwu Steel as sample spaces,quantitative analysis was employed to identify the multi-fractal characteristics of silicon content series.The long term trend of silicon content series was removed by performing multi-resolution analysis and the multi-fractal characteristics of the remaining part was analyzed.Comprehensive and quantitative details of the partial fluctuant singularity and fluctuant singularity at different levels are displayed through computation of generalized Hurst index,scaling function and multi-fractal spectrum.Simulation results proved that the fluctuation of silicon content series from 3 different blast furnaces showed significant multi-fractal characteristics,which is far from sufficient to be described by a single Hurst index or box dimension.
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