The effect of multiplexing in Fourier transform spectroscopy (FTS) (and other coding techniques such as Hadamard transform spectroscopy) on the signal/noise ratio arises from two factors. The first of these is a <i>N</i><sup>½</sup> improvement for a spectrum containing <i>N</i> resolution elements since each individual resolution element is now viewed for an <i>N</i>-fold longer time. The second factor is due to the simultaneous observation of all resolution elements, raising the signal level by a factor <i>N</i> for an uniform spectrum.
T. Hirschfeld, "Fellgett's Advantage in uv-VIS Multiplex Spectroscopy," Appl. Spectrosc. 30, 68-69 (1976)
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