ASYMPTOTIC WAVELET AND GABOR ANALYSIS - EXTRACTION OF INSTANTANEOUS FREQUENCIES

被引：451
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
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1992年 / 38卷 / 02期
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
收藏
页码：644 / 664
页数：21
相关论文
共 43 条
[1]   PRODUCT THEOREM FOR HILBERT TRANSFORMS [J].
BEDROSIAN, E .
PROCEEDINGS OF THE IEEE, 1963, 51 (05) :868-&
[2]  
BERTRAND J, 1990, 17TH P INT C GROUP T, P380
[3]  
Blahut R.E., 1987, PRINCIPLES PRACTICE
[4]  
BOASHASH B, 1990, ADV SPECTRUM ANAL AR, P418
[5]  
Coifman R.R., 1990, SIGNAL PROCESSING CO
[6]  
COMBES JM, 1987, 1ST P C MARS
[7]  
Copson E. T., 1965, ASYMPTOTIC EXPANSION
[8]   TIME FREQUENCY LOCALIZATION OPERATORS - A GEOMETRIC PHASE-SPACE APPROACH .2. THE USE OF DILATIONS [J].
DAUBECHIES, I ;
PAUL, T .
INVERSE PROBLEMS, 1988, 4 (03) :661-680
[9]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[10]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
DAUBECHIES, I .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
12345