| 基于小波方法的非线性回归模型研究 |
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| 引用本文： | 蒋廷臣,张勤,周立,焦明连,王秀萍.基于小波方法的非线性回归模型研究[J].测绘学报,2006,35(4):337-341. |
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| 作者姓名： | 蒋廷臣 张勤 周立 焦明连 王秀萍 |
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| 作者单位： | 淮海工学院,空间信息科学系,江苏,连云港,222001;长安大学,地测学院,陕西,西安,710054 |
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| 摘 要： | 介绍小波方法和非线性回归估计的基本理论,研究利用小波变换得到非线性回归估计函数的方法,且将该方法的结果与仅用回归估计的结果进行对比研究,发现对监测数据列进行小波分解并对小波系数作用于阈值,然后通过对小波系数估计能得到回归参数。研究结果表明基于小波方法的非线性回归模型更接近变形体变形规律,是一种能够更好地进行预测的方法,该模型切实可行。
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| 关 键 词： | 噪声 阈值 预测 小波 回归 |
| 文章编号： | 1001-1595（2006）04-0337-05 |
| 收稿时间： | 01 16 2006 12:00AM |
| 修稿时间： | 2006-01-162006-06-26 |
Research on Nonlinear Regression Model Based on Wavelet Method |
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| JIANG Ting-chen,ZHANG Qin,ZHOU Li,JIAO Ming-lian,WANG Xiu-ping.Research on Nonlinear Regression Model Based on Wavelet Method[J].Acta Geodaetica et Cartographica Sinica,2006,35(4):337-341. |
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| Authors: | JIANG Ting-chen ZHANG Qin ZHOU Li JIAO Ming-lian WANG Xiu-ping |
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| Abstract: | The elementary theory of wavelet method and nonlinear regression is introduced and nonlinear regression function obtained by making fully use of wavelet transform is given.The result is compared with result using only regression model.In addition,it is discovered that regression parameters are gained by estimating wavelet coefficient after wavelet coefficients are influenced by threshold during wavelet decomposition.The studied results show the nonlinear model based on wavelet method is more closed to the order of deformation and the method can predict efficaiently,and the model is effective and feasible. |
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| Keywords: | noise threshold prediction wavelet regression |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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