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

Author

Tong, Zhang ; Fusheng, Yang ; Qingyu, Tang

Author_Institution

Dept. of Electr. Eng., Tsinghua Univ., Beijing, China

Volume

3

fYear

1998

fDate

29 Oct-1 Nov 1998

Firstpage

1142

Abstract

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

Keywords

electroencephalography; medical signal processing; signal sampling; wavelet transforms; EEG application; Mellin transform; biomedical application; common ratio; computer implementation; continuous wavelet transform; different scales; fast algorithm; forward FFT; inverse FFT; very finely sampled scales; wavelet coefficients; Algorithm design and analysis; Continuous wavelet transforms; Discrete wavelet transforms; Electroencephalography; Flexible printed circuits; Fourier transforms; Sampling methods; Signal analysis; Wavelet coefficients; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 1998. Proceedings of the 20th Annual International Conference of the IEEE

Conference_Location

Hong Kong

ISSN

1094-687X

Print_ISBN

0-7803-5164-9

Type

conf

DOI

10.1109/IEMBS.1998.747072

Filename

747072