离散稳恒信号的多重分形谱的计算及其应用

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。。

Computation and Applications of Multi-fractal to Discrete Stationary Signals

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.