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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
The basic theories of wavelet transform and multiresolution analysis are introduced and three methods of wavelet transform to compress data are introduced: (1) Only the fuzzy signal is retained; (2) The larger of the fuzzy signal and the sharpened signal is reserved; (3) Keep blurring signals and sharpening the larger of the signals. The infrared spectral data of 4-phenylethynyl-phthalic anhydride compressed by compactly supported wavelet and orthogonal cubic B-spline wavelet are compared. The results show that the orthogonal cubic B-spline wavelet transform method works well, However, the mean square error between the large compression ratio and the reconstructed spectral data and the original spectral data is small when all the ambiguous signals are retained and only the numerically large coefficients in the sharpened signal are retained