FRACTIONAL DIFFERENCE ESTIMATION FOR THE PARAMETERS OF RANDOM FRACTAL SIGNAL

Chen Yanhui; Xie Weixin

Volume 23 Issue 1

Jan. 2001

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Guan Wu, Dong Ming-ke, Xiang Hai-ge. A Joint Demodulation and Decoding Algorithm for High Order LDPC Coded Modulations[J]. Journal of Electronics & Information Technology, 2010, 32(2): 340-344. doi: 10.3724/SP.J.1146.2008.01287

Citation:

Chen Yanhui, Xie Weixin. FRACTIONAL DIFFERENCE ESTIMATION FOR THE PARAMETERS OF RANDOM FRACTAL SIGNAL[J]. Journal of Electronics & Information Technology, 2001, 23(1): 9-15.

Citation:

Chen Yanhui, Xie Weixin. FRACTIONAL DIFFERENCE ESTIMATION FOR THE PARAMETERS OF RANDOM FRACTAL SIGNAL[J]. Journal of Electronics & Information Technology, 2001, 23(1): 9-15.

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FRACTIONAL DIFFERENCE ESTIMATION FOR THE PARAMETERS OF RANDOM FRACTAL SIGNAL

Chen Yanhui^{①;谢维信},
Xie Weixin

Received Date: 1999-01-22
Rev Recd Date: 1999-10-06
Publish Date: 2001-01-19

Abstract

Abstract

The definition, property and time-domain expression of random fractal signal are introduced in brief. The fractional difference equation of random fractal series is induced by substituting difference operator for differential operator, and the fractional differenced whiten-ing filter, through which random fractal signal is converted to white noise, is analyzed and constructed. The method for parameters estimation based on fractional differenced whitening filter is proposed, the essentiality of which is to find out a factor by calculating the extremum of the statistic test expression for the output. Experimental results demonstrate its effectiveness.

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References(1)

References

李后强,汪富泉.分形理论及其在分子科学中的应用.北京:科学技术出版社,1993.157-178.[2]Blackledge J M.On the synthesis and processing of fractal signals and images.Applications of fractals and chaos.New York: Springer-verlag,1993.81-99.[3]Lundahl T,Ohley W T,Kay S M,et al.Fractional Brownian motion: A maximum likelihood estimator and its application to image texture[J].IEEE Trans.on Med.Imaging.1986,5(3):152-161[4]Deriche M,Tewfik A H.Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process.IEEE Trans.on SP,1993,SP-41(10): 2977-2989.[5]谢文录.雷达信号处理中的分形模型与方法研究:[博士学位论文].西安:西安电子科技大学,1997.[6]Deriche M,Tewfik A H.Signal modeling with filtered discrete fractional noise process.IEEE Trans.on SP,1993,SP-41(9): 2839-2849.

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