Rapid Multidimensional NMR: Decomposition Methods and their Applications

• A signal in an N-dimensional NMR spectrum can be characterized as a direct product of N Lorentzian functions, where each function characterizes the chemical shift and linewidth of the signal along one of the dimensions. Consequently, a complete spectrum (excluding noise) may be described in a compact form by a sum of direct products, one for each signal. This representation of a spectrum can in many cases be further compressed by characterizing several (related) signals with only one direct product. The description also applies to more general data sets, such as stacks of 2-dimensional spectra recorded for relaxation or drug discovery purposes, where the function type need no longer be Lorentzian. This view of NMR spectra serves as a basis for decomposition methods that provide a number of benefits for the interpretation of NMR data such as optimal processing with low signal-to-noise. A major interest in these decomposition tools has arisen in the context of ‘rapid’ NMR, for example with random sparse sampling of the time domain or with projection spectroscopy.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)

NATURVETENSKAP  -- Biologi -- Biofysik (hsv//swe)

NATURAL SCIENCES  -- Biological Sciences -- Biophysics (hsv//eng)

NATURVETENSKAP  -- Kemi -- Analytisk kemi (hsv//swe)

NATURAL SCIENCES  -- Chemical Sciences -- Analytical Chemistry (hsv//eng)

Keyword

NMR

decomposition

projection

sampling

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