title: Fast multi-dimensional NMR acquisition and processing using the sparse FFT.
abstract: Increasing the dimensionality of NMR experiments strongly enhances the spectral resolution and provides invaluable direct information about atomic interactions. However, the price tag is high: long measurement times and heavy requirements on the computation power and data storage. We introduce sparse fast Fourier transform as a new method of NMR signal collection and processing, which is capable of reconstructing high quality spectra of large size and dimensionality with short measurement times, faster computations than the fast Fourier transform, and minimal storage for processing and handling of sparse spectra. The new algorithm is described and demonstrated for a 4D BEST-HNCOCA spectrum.
authors.affiliation: Massachusetts Institute of Technology, 32 Vassar Street, 32-G936, Cambridge, MA, 02139, USA.
authors.forename: Haitham
authors.initials: H
authors.lastname: Hassanieh
authors.affiliation: Swedish NMR Centre at University of Gothenburg, Box 465, 40530, Gothenburg, Sweden.
authors.forename: Maxim
authors.initials: M
authors.lastname: Mayzel
authors.affiliation: Massachusetts Institute of Technology, 32 Vassar Street, 32-G936, Cambridge, MA, 02139, USA.
authors.forename: Lixin
authors.initials: L
authors.lastname: Shi
authors.affiliation: Massachusetts Institute of Technology, 32 Vassar Street, 32-G936, Cambridge, MA, 02139, USA.
authors.forename: Dina
authors.initials: D
authors.lastname: Katabi
authors.affiliation: Swedish NMR Centre at University of Gothenburg, Box 465, 40530, Gothenburg, Sweden. vladislav.orekhov@nmr.gu.se.
authors.forename: Vladislav Yu
authors.initials: VY
authors.lastname: Orekhov
mesh_terms: D000465:Algorithms; D005583:Fourier Analysis; D006801:Humans; D019906:Nuclear Magnetic Resonance, Biomolecular / Q000379:methods*; D013997:Time Factors; D025801:Ubiquitin / Q000737:chemistry
chemical_list: D025801:Ubiquitin
keywords: Compressed sensing; Fast NMR; Non uniform sampling; Reduced dimensionality