ASYMPTOTIC WAVELET AND GABOR ANALYSIS - EXTRACTION OF INSTANTANEOUS FREQUENCIES

被引:449
作者
DELPRAT, N
ESCUDIE, B
GUILLEMAIN, P
KRONLANDMARTINET, R
TCHAMITCHIAN, P
TORRESANI, B
机构
[1] INST CHIM & PHYS IND,LTS,F-69288 LYONS,FRANCE
[2] STANFORD UNIV,CCRMA,STANFORD,CA 94305
[3] FAC SCI & TECH ST JEROME,MARSEILLE,FRANCE
[4] CTR PHYS THEOR,CNRS LUMINY,F-13288 MARSEILLE 09,FRANCE
关键词
WAVELET TRANSFORM; GABOR TRANSFORM; INSTANTANEOUS FREQUENCY; SPECTRAL LINES; RIDGE; SKELETON;
D O I
10.1109/18.119728
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit, using stationary phase approximations are investigated. In particular, it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, like for example frequency and amplitude modulation laws. Applications to spectral line estimations and matched filtering are briefly discussed.
引用
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页码:644 / 664
页数:21
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