Tönu Pullerits
Professor
Compressed Sensing for Reconstructing Coherent Multidimensional Spectra
Author
Summary, in English
We apply two sparse reconstruction techniques, the least absolute shrinkage and selection operator (LASSO) and the sparse exponential mode analysis (SEMA), to two-dimensional (2D) spectroscopy. The algorithms are first tested on model data, showing that both are able to reconstruct the spectra using only a fraction of the data required by the traditional Fourier-based estimator. Through the analysis of the sparsely sampled experimental fluorescence-detected 2D spectra of LH2 complexes, we conclude that both SEMA and LASSO can be used to significantly reduce the required data, still allowing one to reconstruct the multidimensional spectra. Of the two techniques, it is shown that SEMA offers preferable performance, providing more accurate estimation of the spectral line widths and their positions. Furthermore, SEMA allows for off-grid components, enabling the use of a much smaller dictionary than that of the LASSO, thereby improving both the performance and the lowering of the computational complexity for reconstructing coherent multidimensional spectra.
Department/s
- Chemical Physics
- NanoLund: Centre for Nanoscience
- eSSENCE: The e-Science Collaboration
- Mathematical Statistics
Publishing year
2020
Language
English
Pages
1861-1866
Publication/Series
Journal of Physical Chemistry A
Volume
124
Issue
9
Document type
Journal article
Publisher
The American Chemical Society (ACS)
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
- Condensed Matter Physics (including Material Physics, Nano Physics)
Status
Published
Project
- Statistical Signal Processing Group
ISBN/ISSN/Other
- ISSN: 1089-5639