A continuous Nonlinear Technique for Instantaneous Data

Li Jing; Wang Wenbing

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A continuous Nonlinear Technique for Instantaneous Data

更新时间：2025-12-08

- A continuous Nonlinear Technique for Instantaneous Data
- Acta Electronica Sinica Issue 3, Pages: 59-64(1992)
- 作者机构：
  
  1.   西安交通大学
  2.   西南交通大学西安 710049
  3.   成都 610031
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1992
- 稿件说明：
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[1]李敬,汪文秉,任朗.处理瞬态数据的连续化方法[J].电子学报,1992(03):59-64.

Li Jing, Wang Wenbing. A continuous Nonlinear Technique for Instantaneous Data[J]. Acta Electronica Sinica, 1992, (3): 59-64.
[1]李敬,汪文秉,任朗.处理瞬态数据的连续化方法[J].电子学报,1992(03):59-64. DOI：

Li Jing, Wang Wenbing. A continuous Nonlinear Technique for Instantaneous Data[J]. Acta Electronica Sinica, 1992, (3): 59-64. DOI：

摘要

本文提出了处理瞬态数据的连续化方法

将原来在l

空间的离散型优化问题转换成了L

空间中的连续型优化问题

这样就消除了混杂在信号中的部份噪声

且大大减小了计算过程中的运算误差

从而获得了相对稳定的解。数值计算结果表明

连续化方法相对于传统的离散非线性最小二乘法（离散型方法）

有更强的抗噪声能力。本文还建立了直接用连续化方法确定波形中极点数目的程序。

Abstract

A continuous nonlinear technique （CNT） for instantaneous data is proposed in this paper. The technique is based on L2 space optimization instead of 12

so that both random noise and computational errors are reduced during the calculation process

and relatively stable resolutions are obtained. The superiority of CNT to the conventional nonlinear least square technique in the presence of random noise is demonstrated by simulation computations. Finally the program which uses CNT to determine the number of natural frequencies contained in the measured response is established.

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