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连续小波变换（CWT）快速算法的研究对于小波变换在信号处理领域更加广泛，深入的应用有重要意义．本文提出一种基于Mellin变换的CWT快速算法，其特点是一次算出某一固定时刻各个灰度的变换结果．算法的计算量与待分析信号的数据长度成正比，在任一时刻下为两个2N点FFT和一次2N点复数乘法（N为分析尺度个数）．该算法适用于尺度跨度较小，对尺度分析要求较细的应用场合。
The continuous wavelet transform (CWT) fast algorithm for the wavelet transform in signal processing more extensive, in-depth application of great significance. In this paper, we propose a fast CWT algorithm based on Mellin transform, which is characterized by calculating the transformation results of each gray level at a certain fixed time. The calculated amount of the algorithm is proportional to the data length of the signal to be analyzed, and at each moment there are two 2N-point FFTs and one 2N-point complex multiplication (N is the number of analysis scales). The algorithm is suitable for small scale span and small scale requirement.