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| Computation and Applications of Multi-fractal to Discrete Stationary Signals |
| Chen Shuang-ping①②; Zheng Hao-ran②; Liu Jin-xia②; Tong Qing②; Wang Xu-fa② |
| ①Department of Electronic Engineering and Information System, University of Science and Technology of China (USTC), Hefei 230027, China;②Department of Computer Science and Technology, USTC, Hefei 230027, China |
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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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Received: 08 October 2005
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2007, Vol. 29 
