Applied Spectroscopy · 1998 · 43 citations · 14 references
PharmacyChemistryAnalytical ChemistrySpectroscopic AnalysisSpectroscopyDigital Signal ProcessingSpectral AnalysisSpectral Data ProcessingSpectral DeconvolutionA Priori Error EstimationDeconvolutionDeconvolution TechniquesFourier TransformLow-pass FilteringLow-pass FiltersRandom ErrorsSpectral Estimation
A method is proposed for estimating the parameters used in the deconvolution technique. The proposed method is based on the use of the Fourier transform modulus of the spectrum being treated with the purpose of obtaining information about the characteristics of the spectral bands and random measurement errors. Formulas are given that permit estimation of the values of noise variance in the experimental spectrum, the low-pass filter passband, and the contour half-width of the high-pass filter. Results are considered for the application of the proposed formulas for determining the parameters used with the deconvolution of synthetic and experimental spectra. It has been concluded that practical use of the proposed method of a priori estimation of the parameters permits, to a certain extent, the optimization of the process of deconvolution of spectral curves.
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Fourier Self-Deconvolution: A Method for Resolving Intrinsically Overlapped Bands
Jyrki Kauppinen, Douglas J. Moffatt, Henry H. Mantsch et al. · Applied Spectroscopy · 1981 · 1.3K citations
Natural Sciences, Chemistry, Physics +17
The Fourier transform and its applications
Louis A. Pipes · Journal of the Franklin Institute · 1965 · 895 citations
Noise in Fourier self-deconvolution
Jyrki Kauppinen, Douglas J. Moffatt, David G. Cameron et al. · Applied Optics · 1981 · 249 citations
Natural Sciences, Electrical Engineering, Digital Imaging +15