Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy.
We derive the spectral signal-to-noise ratio (SNR) trade-offs associated with coarsely sampled Fourier transform spectroscopy using a step-and-integrate measurement scheme. We show that there is no SNR penalty in the shot noise limit and a slight SNR benefit in the detector noise limit for the case of coarse sampling to achieve the same spectral resolution as a baseline Nyquist sampling scenario, where the total detector integration time is the same for both sampling cases.
Thurman
Samuel T
ST
The Institute of Optics, University of Rochester, Rochester, NY 14627, USA. thurman@optics.rochester.edu
Fienup
James R
JR