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Computation and Applications of Multi-fractal to Discrete Stationary Signals
离散稳恒信号的多重分形谱的计算及其应用

Keywords: Discrete stationary information sources,Multi-fractal spectrum,DeoxyriboNucleic Acid (DNA) sequence,Statistical analysis
离散稳恒信源
,多重分形谱,脱氧核糖核酸(DNA)序列,统计分析

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Abstract:

Unknown signals are always be treated as outputs of stationary information sources which are easy to be dealt with. So, it is possible to compute multi-fractal spectrum of the signals, which are compared with theoretical results to verify whether the estimation of parameters for a model is correct or not. This paper, describes how to compute the multi-fractal spectrum and other problems concerning the methods. Applying the methods to the analysis of DNA sequences shows that, in a sense, genomic sequence can be viewed as outputs of a stationary information source.

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