The flexible Gabor-wavelet transform for car crash signal analysis. (English) Zbl 1181.94070
Summary: 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.
MSC:
| 94A13 | Detection theory in information and communication theory |
| 94A11 | Application of orthogonal and other special functions |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 65T60 | Numerical methods for wavelets |
Keywords:
adaptive time-frequency transform; signal processing; numerical algorithms; short-time Fourier transformReferences:
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