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小波压缩技术在FIR模型辩识中的应用

Application of Wavelet Compression Technologyin FIR Model Identification
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摘要  结合小波变换的压缩和去噪能力,研究了在FIR模型辨识过程中求得更精简非参数模型的一种方法.在给出FIR模型辨识的具体步骤后,通过一个化工实例的具体计算,进一步比较与一般FIR建模方法以及基于不同小波基函数进行压缩去噪后辨识的效果.结果表明该技术可以压缩模型结构参数,降低了运算量,有利于实现在线辨识. Combining the compression and noise-filted capability of wavelet shift, this paper studies an approach of establishing a more concise non-parameter model in the process of FIR-model identification.This paper presents detailed wavelet compression technology that is popular in the theory of modern control, and apply it to the identification of FIR model, describes the realization process, and obtaines the expected result. The result of computer simulation indicated that this technology could compress the parameters of model structure, reduce the amounts of mathematics operation in the model identification, and make model identification online possible.
出处 《沈阳化工学院学报》 2004年第1期33-36,共4页 Journal of Shenyang Institute of Chemical Technolgy
关键词 小波压缩 FIR模型 模型辨识 小波分析 wavelet compression FIR model model identification wavelet analysis
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参考文献4

  • 1[1]Nikolaou M, Vuthandam P. FIR Model Identification: Achieving Parsimony Through Kernel Compression with Wavelets[DB/OL]. http://www.chee.edu/faculty/nikolaou/FIRpaper.pdf,2003-04-10.
  • 2[2]Watson J W, Lialopoulos A, Brzakovic D, et al. Wavelet Techniques in the Compression of Process Data[M]. Washington: Proc.ACC,Seattle,, 1995.1265-1269.
  • 3[3]Ricker N L. The Use of Biased Least-squares Estimators for Parameters in Discrete-Time Pulse-Response Models[J]. Ind.Eng.Chem.Res,1998,27:343-350.
  • 4[4]MacGregor J F, Kourti T, Kresta J V, Multivariate Identification:A Study of Several Methods[M]. France: IFACHEM Proc.,Toulouse,1991.

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