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Optimum line shape analysis by least-square approximation and linear transformation processes

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2 Author(s)
Ernst, Richard R. ; Laboratorium für Physikalische, Zürich, Switerland ; Benz, H.

The problem of optimum analysis of overlapping signals by means of least-square approximation techniques and by linear transformation processes, like resolution enhancement by inverse convolution, is considered. It is shown that optimum accuracy is obtained by employing, before doing a least-square fit, a transformation process which transforms the random noise into white noise. This particularly implies that in any process of artificial resolution enhancement, a loss of accuracy occurs. Examples from the field of spectroscopy are given to demonstrate the achievable accuracy and the requirements with respect to signal-to-noise ratio.

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Audio and Electroacoustics, IEEE Transactions on  (Volume:18 ,  Issue: 4 )