Noise in Fourier self-deconvolution

Journal Article · Fri May 15 00:00:00 EDT 1981 · Appl. Opt.; (United States)

DOI:https://doi.org/10.1364/AO.20.001866· OSTI ID:6188143

Kauppinen, J K; Moffatt, D J; Cameron, D G; Mantsch, H H

A general formula for computing changes in the signal-to-noise ratio of a spectrum resulting from the Fourier self-deconvolution procedure is derived. Self-deconvolution reduces the intrinsic halfwidths of lines by a factor K, which is in practice limited by the noise in the spectrum. With the help of the derived formula, the rate of decrease in the SNR as a function of K for eight different smoothing (apodization) functions is studied. With high K values there are significant differences in the SNR as a result of the use of different smoothing functions. With K = 4 a difference of more than 1 order of magnitude between two extreme cases is demonstrated, and with K = 5 a difference of almost 2 orders of magnitude in the SNR is predicted.

• Research Organization: National Research Council of Canada, Division of Chemistry, Ottawa, Ontario K1A 0R6
• OSTI ID: 6188143
• Journal Information: Appl. Opt.; (United States), Vol. 20:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FOURIER ANALYSIS
SIGNAL-TO-NOISE RATIO
FOURIER TRANSFORMATION
MATHEMATICS
NOISE
INTEGRAL TRANSFORMATIONS
TRANSFORMATIONS
657005* - Theoretical Physics- Optics