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Decoding 'Maximum Entropy' Deconvolution
Long V Le1, Tae Jung Kim2, Young Dong Kim2
1Institute of Materials Science, Vietnam Academy of Science and Technology, Hanoi 100000, Vietnam.
Abstract:
For over five decades, the mathematical procedure termed "maximum entropy" (M-E) has been used to deconvolve structure in spectra, optical and otherwise, although quantitative measures of performance remain unknown. Here, we examine this procedure analytically for the lowest two orders for a Lorentzian feature, obtaining expressions for the amount of sharpening and identifying how spurious structures appear. Illustrative examples are provided. These results enhance the utility of this widely used deconvolution approach to spectral analysis.
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