THE FLEXIBLE GABOR-WAVELET TRANSFORM FOR CAR CRASH SIGNAL ANALYSIS

被引:17
|
作者
Onchis, Darian M. [1 ]
Suarez Sanchez, Esperanza M. [2 ]
机构
[1] Univ Vienna, Inst Math, Numer Harmon Anal Grp, A-1090 Vienna, Austria
[2] Univ Seville, Dept Appl Math 1, E-41012 Seville, Spain
关键词
Adaptive time-frequency transform; alpha-modulation spaces; signal processing; numerical algorithms; short-time Fourier transform; TIME-FREQUENCY REPRESENTATION; SPACES;
D O I
10.1142/S0219691309003045
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper is concerned with the spectral decomposition and the adaptive analysis of data coming from car crash simulations. The mathematical ingredient of the proposed signal processing technique is the flexible Gabor-wavelet transform or the alpha-transform that reliably detects both high and low frequency components of such complicated short-time signals. We go from the functional treatment of this wavelet-type transform to its numerical implementation and we show how it can be used as an improved tool for spectral investigations compared to the short-time Fourier transform or the classical wavelet transform.
引用
收藏
页码:481 / 490
页数:10
相关论文
共 50 条
  • [1] A parallel implementation of the optical Gabor-wavelet transform
    Navarro, R
    Vargas, A
    Campos, J
    JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 1999, 1 (02): : 116 - 120
  • [2] Identification of protein coding regions using the modified Gabor-wavelet transform
    Mena-Chalco, Jesus P.
    Carrer, Helaine
    Zana, Yossi
    Cesar, Roberto M., Jr.
    IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2008, 5 (02) : 198 - 207
  • [3] Breast cancer detection based on Gabor-wavelet transform and machine learning methods
    Ardalan Ghasemzadeh
    Saeed Sarbazi Azad
    Elham Esmaeili
    International Journal of Machine Learning and Cybernetics, 2019, 10 : 1603 - 1612
  • [4] Flexible Gabor-wavelet atomic decompositions for L2-Sobolev spaces
    Hans G. Feichtinger
    Massimo Fornasier
    Annali di Matematica Pura ed Applicata, 2006, 185 : 105 - 131
  • [5] Breast cancer detection based on Gabor-wavelet transform and machine learning methods
    Ghasemzadeh, Ardalan
    Azad, Saeed Sarbazi
    Esmaeili, Elham
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2019, 10 (07) : 1603 - 1612
  • [6] Optical implementation of the complex Gabor-wavelet filter based on the Gaussian chirplet transform approach
    Hwang, Hone-Ene
    OPTICS LETTERS, 2009, 34 (19) : 3032 - 3034
  • [7] Flexible Gabor-wavelet atomic decompositions for L2-Sobolev spaces
    Feichtinger, Hans G.
    Fornasier, Massimo
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (01) : 105 - 131
  • [8] Identification of Eukaryotic Exons using Empirical Mode Decomposition and Modified Gabor-Wavelet Transform
    Zhang Xiaolei
    Zhao Jiaxiang
    Xu Wei
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 7151 - 7155
  • [9] From Gabor Transform to Wavelet Analysis
    Zheng Zhizhen
    Earthquake Research Advances, 1996, (04) : 30 - 36
  • [10] Content-Based Leukocyte Image Retrieval Ensembling Quaternion Fourier Transform and Gabor-wavelet Features
    Sarkar, Prabir
    Chakraborty, Chandan
    Ghosh, Madhumala
    2012 12TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND APPLICATIONS (ISDA), 2012, : 345 - 350