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小波文献中，离散小波变换多由于带分解或拉普拉斯塔形分解等引出。本文从连续小波变换及小波级数变换出发，通过对采样过程的分析导出了离散小波变换的定义。离散小波变换是唯一便于Ｘ数值计算的小波变换，本文提出了一种以离散小波变换计算小波级数变换的算法，该算法较之Ｏ’Ｒｌｏｕｌ的类似算法相比，可取得更好的计算精度。
Wavelet literature, discrete wavelet transform and more due to decomposition or Laplace tower decomposition and other leads. In this paper, starting from the continuous wavelet transform and wavelet series transform, the definition of discrete wavelet transform is derived through the analysis of the sampling process. Discrete wavelet transform is the only wavelet transform to facilitate the calculation of X. In this paper, an algorithm to calculate wavelet series transform by discrete wavelet transform is proposed. Compared with the similar algorithm of O’Rull, the algorithm can achieve better calculation accuracy .