离散稳恒信号的多重分形谱的计算及其应用
doi: 10.3724/SP.J.1146.2005.01253
Computation and Applications of Multi-fractal to Discrete Stationary Signals
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摘要: 对于未知信号而言，一般将其视为稳恒信源的输出。因而，利用统计的方法计算信源输出信号的多重分形谱，与理论上计算的结果加以比较，据此就可以判断信源模型参数估计的合理性。该文给出了计算信号多重分形谱的一般方法，并且探讨了计算过程中的相关问题。并将该方法应用于染色体中碱基序列的分析中，实验结果表明，在某种程度上，碱基序列可视为某个离散稳恒信源的输出。。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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