Model structures with wavelet basis functions

S. Mukhopadhyay, D. Mukherjee, A. Tiwari
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引用次数: 2

Abstract

The paper addresses formalization of discrete model structures in a simulation/ predictive framework with generalized basis functions and in particular with wavelet basis functions. In deviation from traditional methods that develop models in terms of sampled data, the model directly relates wavelet projections of data thereby effectively utilizing the benefits offered by wavelet basis functions. Nonlinear estimate of output from sparse representation in wavelet domain is synthesized by alternate projection that converges to minimum norm solution. Two industry applications are discussed - one pertaining to the problem of modeling Liquid Zone Control System (LZCS) in a large Pressurized Heavy Water Reactor (PHWR) and the other for identifying an inverse map for defect profile estimation from magnetic flux leakage signal. In both these studies, sub-band linear time invariant or time varying models are identified using the method of consistent output estimation. The resulting models exhibit remarkable estimation capabilities and highlight the advantages of using consistent estimation for identification.
用小波基函数建立模型结构
本文讨论了用广义基函数,特别是小波基函数在模拟/预测框架中离散模型结构的形式化。与传统的根据采样数据建立模型的方法不同,该模型直接关联数据的小波投影,从而有效地利用了小波基函数提供的优势。用交替投影法对小波域稀疏表示的输出进行非线性估计,并收敛到最小范数解。本文讨论了两种工业应用,一种是关于大型加压重水堆(PHWR)液区控制系统(LZCS)的建模问题,另一种是关于从漏磁信号中识别缺陷轮廓估计的逆映射问题。在这两项研究中,子带线性时不变或时变模型都是使用一致输出估计的方法来识别的。所得到的模型显示出显著的估计能力,并突出了使用一致估计进行识别的优点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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