Frequency-domain method based on the singular value decomposition for frequency-selective NMR spectroscopy.
In several applications of NMR spectroscopy the user is interested only in the components lying in a small frequency band of the spectrum. A frequency selective analysis deals precisely with this kind of NMR spectroscopy: parameter estimation of only those spectroscopic components that lie in a preselected frequency band of the NMR data spectrum, with as little interference as possible from the out-of-band components and in a computationally efficient way. In this paper we introduce a frequency-domain singular value decomposition (SVD)-based method for frequency selective spectroscopy that is computationally simple, statistically accurate, and which has a firm theoretical basis. To illustrate the good performance of the proposed method we present a number of numerical examples for both simulated and in vitro NMR data.
Stoica
Petre
P
Systems and Control Division, Department of Information Technology, Uppsala University, P.O. Box 337, SE-751 05, Uppsala, Sweden.
Sandgren
Niclas
N
Selén
Yngve
Y
Vanhamme
Leentje
L
Van Huffel
Sabine
S
D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008958:Models, Molecular; D012815:Signal Processing, Computer-Assisted; D013269:Stochastic Processes; D005680:gamma-Aminobutyric Acid / Q000737:chemistry
D005680:gamma-Aminobutyric Acid