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.
© 2007 Optical Society of America
Original Manuscript: March 5, 2007
Manuscript Accepted: April 26, 2007
Published: August 9, 2007
Samuel T. Thurman and James R. Fienup, "Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy," J. Opt. Soc. Am. A 24, 2817-2821 (2007)