Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis
Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis
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噪声有理函数的 Pade 近似极点渐进位置的一些性质，与模态分析相关
DOI：
10.1109/78.709533
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
R. March
中科院分区：
文献类型：
--
作者：
P. Barone;R. March
考虑了由复指数函数的线性组合构成的模态分析模型。然后考虑了噪声样本的Z变换的Pade逼近，并研究了它们的极点的渐近轨迹。结果表明，该轨迹与模型的复指数有很强的相关性。通过利用这些性质，可以设计出具有去噪和超分辨率能力的强大的模型参数估计方法。
The modal analysis model, made up by a linear combination of complex exponential functions, is considered. Pade approximants to the Z-transform of a noisy sample are then considered, and the asymptotic locus of their poles is studied. It turns out that this locus is strongly related to the complex exponentials of the model. By exploiting these properties, powerful methods for estimating the model parameters can be devised, which have both denoising and super-resolution capabilities.