A fast algorithm of continuous wavelet transform based on Mellin transform with biomedical application

机译：基于Mellin变换的连续小波变换快速算法及其在生物医学中的应用

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A fast implementation of the Continuous Wavelet Transform. (CWT) which is based on the Mellin transform, is presented. The algorithm has two major characteristics, one is that it calculates the wavelet coefficients of different scales simultaneously at a given time instant; the other is that it can analyze the signal at scales very finely sampled with a common ratio. For each time point, computer implementation can be realized with three FFTs (one forward FFT and two inverse FFTs) all of length 2N (N is the number of scales). It is a fast CWT algorithm suitable for use when the signal is to be analyzed at scales finely distributed over a relatively narrow span.

机译：快速实现连续小波变换。介绍了基于MELLIN变换的CWT。该算法具有两个主要特性，是它在给定的时间瞬间同时计算不同尺度的小波系数;另一种是，它可以通过常规比率非常精细地采样的尺度分析信号。对于每个时间点，计算机实现可以用三个FFT（一个前进FFT和两个逆FFT）实现，所有长度2n（n是尺度的数量）。它是一种快速CWT算法，适用于在将信号分析在尺寸的尺度上以相对窄的跨度分布。

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《Engineering in Medicine and Biology Society, 1998. Proceedings of the 20th Annual International Conference of the IEEE》|1998年|P.1142-1144|共3页
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Zhang Tong; Yang Fusheng;
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中图分类无线电电子学、电信技术;
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机译：快速连续小波变换的应用

A fast algorithm of continuous wavelet transform based on Mellin transform with biomedical application

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