The wavelet transform for pre-processing IR spectra in the identification of mono- and di-substituted benzenes

This paper describes the wavelet transformation of IR spectra with the Daubechies analysing wavelet functions as a feature extracting method that successfully reduces the spectral data more than 20-fold with a significant improvement in the classification process.

[1]  Fritz Keinert,et al.  Biorthogonal Wavelets for Fast Matrix Computations , 1994 .

[2]  A. Grossmann,et al.  Cycle-octave and related transforms in seismic signal analysis , 1984 .

[3]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Richard Kronland-Martinet,et al.  Analysis of Sound Patterns through Wavelet transforms , 1987, Int. J. Pattern Recognit. Artif. Intell..

[5]  J. Liandrat,et al.  The wavelet transform : some applications to fluid dynamics and turbulence , 1990 .

[6]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[7]  G. Weiss,et al.  Extensions of Hardy spaces and their use in analysis , 1977 .

[8]  A. Bos,et al.  Processing of signals from an ion-elective electrode array by a neural network , 1990 .

[9]  Mac A. Cody.  The fast wavelet transform , 1992 .

[10]  Ph. Tchamitchian,et al.  Wavelets: Time-Frequency Methods and Phase Space , 1992 .

[11]  Ingrid Daubechies,et al.  Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete Filters , 1989 .

[12]  M. Bos,et al.  Wavelet transform for the evaluation of peak intensities in flow-injection analysis , 1992 .

[13]  R. Coifman.  A real variable characterization of $H^{p}$ , 1974 .

[14]  M. Bos,et al.  The learning machine in quantitative chemical analysis: Part I. Anodic Stripping Voltammetry of Cadmium, Lead and Thallium , 1978 .