THE FLEXIBLE GABOR-WAVELET TRANSFORM FOR CAR CRASH SIGNAL ANALYSIS-Reference-Cited by-同舟云学术

THE FLEXIBLE GABOR-WAVELET TRANSFORM FOR CAR CRASH SIGNAL ANALYSIS

Published:2009-07 Issue:04 Volume:07 Page:481-490
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

ONCHIŞ DARIAN M.¹,SÚAREZ SÁNCHEZ ESPERANZA M.²

Affiliation:

1. Numerical Harmonic Analysis Group, Institute of Mathematics, University of Vienna, Nordbergstrasse 15, Vienna, A-1090, Austria

2. Department of Applied Mathematics I, University of Sevilla, Avda. Reina Mercedes s/n, Seville, 41012, Spain

Abstract

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 α-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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691309003045

Reference11 articles.

1. An Adaptive Time–Frequency Representation and its Fast Implementation

2. A high resolution data-adaptive time-frequency representation

3. Ten Lectures on Wavelets

4. Localization of the complex spectrum: the S transform

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