Noise in Fourier self-deconvolution
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...
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Published in | Applied optics (2004) Vol. 20; no. 10; p. 1866 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
United States
15.05.1981
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Online Access | Get more information |
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Summary: | 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. |
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ISSN: | 1559-128X |
DOI: | 10.1364/AO.20.001866 |