Gridding and fast Fourier transformation on non-uniformly sparse sampled multidimensional NMR data.
For multidimensional NMR method, indirect dimensional non-uniform sparse sampling can dramatically shorten acquisition time of the experiments. However, the non-uniformly sampled NMR data cannot be processed directly using fast Fourier transform (FFT). We show that the non-uniformly sampled NMR data can be reconstructed to Cartesian grid with the gridding method that has been wide applied in MRI, and sequentially be processed using FFT. The proposed gridding-FFT (GFFT) method increases the processing speed sharply compared with the previously proposed non-uniform Fourier Transform, and may speed up application of the non-uniform sparse sampling approaches.
Jiang
Bin
B
State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China.
Jiang
Xianwang
X
Xiao
Nan
N
Zhang
Xu
X
Jiang
Ling
L
Mao
Xi-an
XA
Liu
Maili
M
D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008956:Models, Chemical; D018401:Sample Size; D012815:Signal Processing, Computer-Assisted