Compressive Fourier Transform Spectroscopy
Optics
2010-06-15 v1
Abstract
We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N time-domain measurements using a compressive-sensing reconstruction algorithm. We demonstrate the technique by resolving sparse vibrational spectra using <25% of the Nyquist rate samples in single-pulse CARS experiments. The method requires no modifications to the experimental setup and can be directly applied to any Fourier-transform spectroscopy measurement, in particular multidimensional spectroscopy.
Keywords
Cite
@article{arxiv.1006.2553,
title = {Compressive Fourier Transform Spectroscopy},
author = {Ori Katz and Jonathan M. Levitt and Yaron Silberberg},
journal= {arXiv preprint arXiv:1006.2553},
year = {2010}
}