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Applied Spectroscopy

Applied Spectroscopy

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  • Vol. 63, Iss. 7 — Jul. 1, 2009
  • pp: 791–799

The Role and Selection of the Filter Function in Fourier Self-Deconvolution Revisited

Víctor A. Lórenz-Fonfría and Esteve Padrós

Applied Spectroscopy, Vol. 63, Issue 7, pp. 791-799 (2009)


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Abstract

Overlapped bands often appear in applications of infrared spectroscopy, for instance in the analysis of the amide I band of proteins. Fourier self-deconvolution (FSD) is a popular band-narrowing mathematical method, allowing for the resolution of overlapped bands. The filter function used in FSD plays a significant role in the factor by which the deconvolved bands are actually narrowed (the effective narrowing), as well as in the final signal-to-noise degradation induced by FSD. Moreover, the filter function determines, to a good extent, the band-shape of the deconvolved bands. For instance, the intensity of the harmful side-lobule oscillations that appear in over-deconvolution depends importantly on the filter function used. In the present paper we characterized the resulting band shape, effective narrowing, and signal-to-noise degradation in infra-, self-, and over-deconvolution conditions for several filter functions: Triangle, Bessel, Hanning, Gaussian, Sinc2, and Triangle2. We also introduced and characterized new filters based on the modification of the Blackmann filter. Our conclusion is that the Bessel filter (in infra-, self-, and mild over-deconvolution), the newly introduced BL3 filter (in self- and mild/moderate over-deconvolution), and the Gaussian filter (in moderate/strong over-deconvolution) are the most suitable filter functions to be used in FSD.

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Citation
Víctor A. Lórenz-Fonfría and Esteve Padrós, "The Role and Selection of the Filter Function in Fourier Self-Deconvolution Revisited," Appl. Spectrosc. 63, 791-799 (2009)
http://www.opticsinfobase.org/as/abstract.cfm?URI=as-63-7-791

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