| 小波变换方法的比较──红外光谱数据压缩 |
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| 引用本文： | 章文军,许禄,刘胜雄.小波变换方法的比较──红外光谱数据压缩[J].高等学校化学学报,1999,20(4):534-538. |
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| 作者姓名： | 章文军 许禄 刘胜雄 |
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| 作者单位： | 1. 中国科学院长春应用化学研究所, 长春 130022;
2. 吉林大学数学系, 长春 130023 |
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| 基金项目： | 中国科学院资助项目;29677016; |
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| 摘 要： | 介绍了小波变换和多分辨分析的基本理论以及常用小波变换压缩数据的3种方法:(1)只保留模糊信号;(2)全部保留模糊信号及锐化信号中的较大值;(3)保留模糊信号及锐化信号中的较大值.将紧支集小波和正交三次B-样条小波压缩4-苯乙炔基-邻苯二甲酸酐的红外光谱数据进行了对比,计算表明正交三次B-样条小波变换方法效果较好,而在全部保留模糊信号及只保留锐化信号中数值较大的系数时,压缩比大而重建光谱数据与原始光谱数据间的均方差较小.
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| 关 键 词： | 小波变换 多分辨分析 数据压缩 红外光谱 |
| 收稿时间： | 1998-06-25 |
Comparison of Wavelet Transform Methods--The Compression of IR Spectral Data |
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| ZHANG Wen-Jun,XU Lu,LIU Sheng-Xiong.Comparison of Wavelet Transform Methods--The Compression of IR Spectral Data[J].Chemical Research In Chinese Universities,1999,20(4):534-538. |
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| Authors: | ZHANG Wen-Jun XU Lu LIU Sheng-Xiong |
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| Affiliation: | 1. Changchun Institute of Applied Chemistry, Academia Sinica, Changchun, 130022;
2. Department of Mathematics, Jilin University, Changchun, 130023 |
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| Abstract: | In this paper, an introduction of wavelet transform and multi\|resolution analysis is presented. We describe three data compression methods based on wavelet transform for spectral information, and by using the multiresolution analysis, we compressed spectral data by Daubechiess compactly supported orthogonal wavelet and orthogonal cubic Bsplines wavelet.Using orthogonal cubic Bsplines wavelet and coefficients of sharpening signal are set to zero, only very few large coefficients are stored, and a favourable data compression can be achieved. |
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| Keywords: | Wavelet transform Multi-resolution analysis Data compression IR spectra |
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