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When a spectrum is composed of a superposition of lines with known shape and uniform width, the signal output of a spectrometer may be transformed into a spectrum whose effective resolution is significantly improved. If the line shapes are not precisely known or the linewidths not exactly uniform, it is still possible to achieve a worthwhile resolution enhancement. Decomposition and analysis of complex spectra is often aided by this transformation. The theory of filters which produce the desired transformation is developed. Digital and analog implementation for these filters is given as well as several examples.
Allen et al. (Mon,) studied this question.
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