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Volume 30 Issue 1
Jan.  2011
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Wen Cheng-lin, Shi Jun-jie, Zhang Yan-feng. A Method of Multiscale Modeling Based on the Irregular Tree for a Stochastic Process[J]. Journal of Electronics & Information Technology, 2008, 30(1): 163-167. doi: 10.3724/SP.J.1146.2006.00424
Citation: Wen Cheng-lin, Shi Jun-jie, Zhang Yan-feng. A Method of Multiscale Modeling Based on the Irregular Tree for a Stochastic Process[J]. Journal of Electronics & Information Technology, 2008, 30(1): 163-167. doi: 10.3724/SP.J.1146.2006.00424

A Method of Multiscale Modeling Based on the Irregular Tree for a Stochastic Process

doi: 10.3724/SP.J.1146.2006.00424 cstr: 32379.14.SP.J.1146.2006.00424
  • Received Date: 2006-04-05
  • Rev Recd Date: 2007-11-19
  • Publish Date: 2008-01-19
  • Based on the modeling methods with the regular tree-structured model, and the Markov characteristics in most phenomena or processes, the multiscale representation with one kind of stochastic processes are presented, and the corresponding multiscale models are also proposed by the introducing irregular tree structure, and some good functions from these new models are illustrated by numerical examples together with computer simulations.
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  • [1] Willsky A S. Multiresolution Markov models for signal and image processing[J].Proc. IEEE.2002, 90(7):1396-1458 [2] Luettgen M R. Image Processing with Multiscale Stochastic Models. PhD MIT, 1993. [3] Benveniste A, Nikoukhah R, and Willsky A S. Multiscale system theory[J].IEEE Trans. on Fundamental Theory and Applications.1994, 41(1):2-15 [4] 文成林, 张延峰. 一类随机动态过程基于q阶树的多尺度建模. 电子与信息学报, 2005, 25(5): 908-913.Wen Cheng-lin and Zhang Yan-feng. A qth-order tree-based method for multiscale modeling of stochastic dynamic processes. Journal of Electronics Information Technology, 2005, 25(5): 908-913. [5] 史军杰. 随机过程的多尺度建模方法及应用研究. [硕士论文], 河南大学, 2006.6. [6] Zhang L, Wu X, Pan Q, and Zhang H C. Multiresolution modeling and estimation of multisensor data[J].IEEE Trans. on Signal Processing.2004, 52(11):3170-3182 [7] 文成林, 周东华, 潘泉, 张洪才. 多尺度动态模型单传感器动态系统分布式信息融合. 自动化学报, 2001, 27(2): 158-165.Wen Cheng-lin, Zhou Dong-hua, Pan Quan, and Zhang Hong-cai. Distributed information fusion algorithm for single sensor dynamic system on the basis of multiscale dynamic models. Acta Automatic Sinica, 2001, 27(2): 158-165.
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