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Current estimation of the derivative of a nonstationary process based on a recurrent smoothing spline

机译：基于递归平滑样条的非平稳过程导数的当前估计

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摘要

A method of real-time reconstruction of the useful signal and its lower derivatives on the basis of a recurrent smoothing spline is presented. A calculation technique for a spline with the number of measurements at each segment greater than the number of nodes is given, and the spline coefficients are found by the variational approach.

机译：提出了一种基于递归平滑样条实时重建有用信号及其低阶导数的方法。给出了一种样条的计算技术，该样条的每个段上的测量数量大于节点数量，并通过变分方法找到了样条系数。

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Kochegurova, Elena Alekseevna; Gorokhova, Ekaterina Sergeevna;
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年度 2016
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正文语种 en
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1. 机器学习下的基于退化特征提取和时间平滑分析的非平稳工业过程在线故障预测 [J] . 胡赟昀, 赵春晖, 柯志武中南大学学报（英文版） . 2021,第012期
2. Current Estimation of the Derivative of a Nonstationary Process Based on a Recurrent Smoothing Spline [J] . E. A. Kochegurova, E. S. Gorokhova Optoelectronics, Instrumentation and Data Processing . 2016,第3期

机译：基于递归平滑样条的非平稳过程导数的当前估计
3. Smoothing techniques and estimation methods for nonstationary Boolean models with applications to coverage processes [J] . Molchanov IS., Chiu SN. Biometrika . 2000,第2期

机译：非平稳布尔模型的平滑技术和估计方法及其在覆盖过程中的应用
4. Digital signal processing for CdZnTe semiconductor detectors based on cubic spline smoothing function [J] . Noha Shaaban International Journal of Signal and Imaging Systems Engineering . 2009,第1a2期

机译：基于三次样条平滑功能的CdZnTe半导体探测器数字信号处理
5. A comparative analysis of processing periods for strain images generated using 1D spline based approach and 2D thin plate smoothing spline method [C] . Hakim Safayat Bin, Islam Kazi Khairul International Conference on Informatics, Electronics Vision . 2013

机译：一维基于样条的方法和二维薄板平滑样条方法生成的应变图像的处理周期的比较分析
6. Smoothing spline based vector partially linear model estimation and its applications in GPS [D] . Chen, Lili. 2005

机译：基于平滑样条的矢量部分线性模型估计及其在GPS中的应用
7. Numerical Discretization-Based Estimation Methods for Ordinary Differential Equation Models via Penalized Spline Smoothing with Applications in Biomedical Research [O] . Hulin Wu, Hongqi Xue, Arun Kumar -1

机译：普通微分方程模型的数值离散化估计方法通过生物医学研究中的应用与惩罚样条平滑平滑
8. A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines [O] . George S. Kimeldorf, Grace Wahba 1970

机译：贝叶斯估计对随机过程的估计与样条平滑的对应关系
9. A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines [R] . Kimeldorf, G. S., Wahba, G. 1968

机译：随机过程贝叶斯估计与样条平滑的对应关系

Current estimation of the derivative of a nonstationary process based on a recurrent smoothing spline

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