title: Compressed Sensing for Multidimensional Spectroscopy Experiments.
abstract: Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional variant of compressed sensing for multidimensional spectroscopy and apply it to experimental data. For the model system of atomic rubidium vapor, we find that compressed sensing provides an order-of-magnitude (about 10-fold) improvement in spectral resolution along each dimension, as compared to a conventional discrete Fourier transform, using the same data set. More attractive is that compressed sensing allows for random undersampling of the experimental data, down to less than 5% of the experimental data set, with essentially no loss in spectral resolution. We believe that by combining powerful resolution with ease of use, compressed sensing can be a powerful tool for the analysis and interpretation of ultrafast spectroscopy data.
authors: †Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States.
authors: Jacob N
authors: JN
authors: Sanders
authors: †Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States.
authors: Semion K
authors: SK
authors: Saikin
authors: †Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States.
authors: Sarah
authors: S
authors: Mostame
authors: †Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States.
authors: Xavier
authors: X
authors: Andrade
authors: ‡Department of Chemistry, Oregon Center for Optics, Institute of Molecular Biology, University of Oregon, Eugene, Oregon 97403, United States.
authors: Julia R
authors: JR
authors: Widom
authors: ‡Department of Chemistry, Oregon Center for Optics, Institute of Molecular Biology, University of Oregon, Eugene, Oregon 97403, United States.
authors: Andrew H
authors: AH
authors: Marcus
authors: †Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States.
authors: Alán
authors: A
authors: Aspuru-Guzik
keywords: optical spectroscopy; random sampling; sparse signal reconstruction; spectral analysis