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deconvolution

deconvolution

"Deconvolution" is a method to eliminate spectral blur due to an instrument function. An observed spectrum is given by the convolution of a true spectrum and an instrument function. Fourier transform of the observed spectrum is expressed by the product of the Fourier transform of the true spectrum and the Fourier transform of the instrument function. Thus, the resultant Fourier transform of the true spectrum is obtained by dividing the Fourier transform of the observed spectrum by the Fourier transform of the instrument function. Then, the true spectrum is obtained by the inverse Fourier transform of the obtained Fourier transform of the true spectrum. The deconvolution method is used by combining the Fourier-log method, the maximum entropy method (MEM) or the Richardson-Lucy method.

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