Shape Analysis with Anisotropic Windowed Fourier Transform

2016 ◽  
Author(s):  
Simone Melzi ◽  
Emanuele Rodola ◽  
Umberto Castellani ◽  
Michael M. Bronstein
Keyword(s):  
Fourier Transform ◽  
Shape Analysis ◽  
Windowed Fourier Transform

Band Shape Analysis of Fourier Transform Infrared Spectra

1982 ◽  
Vol 36 (4) ◽  
pp. 401-404 ◽  
Author(s):  
P. C. Gillette ◽  
J. B. Lando ◽  
J. L. Koenig
Keyword(s):  
Fourier Transform ◽  
Shape Analysis ◽  
Infrared Spectra ◽  
Goodness Of Fit ◽  
Nonlinear Least Squares ◽  
Fourier Transform Infrared ◽  
Quantitative Information ◽  
Band Shape ◽  
Fourier Transform Infrared Spectra ◽  
Overlapping Peaks

The application of a finite difference Levenberg-Marquardt nonlinear least-squares procedure for the resoluton of overlapping peaks in Fourier transform-infrared spectra is described. Starting estimates of peak parameters utilized in the refinement are obtained from a numerically approximated second derivative spectrum which has been smoothed. Quantitative information reflecting the constituent peaks and the “goodness of fit” is displayed graphically in a procedure requiring much less than 1 min to both initiate and obtain results in a form that is readily interpreted.

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