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Comparison of low rank compressed sensing with non-uniform undersampled non-linear FID fitting for time efficient 23Na TQTPPI measurements
Simon Reichert1, Dennis Kleimaier1, and Lothar Schad1
1Computer Assisted Clinical Medicine, Medical Faculty Mannheim, Heidelberg University, Mannheim, Germany
Low rank reconstruction and a fit of the undersampled data (NUSF) were implemented and quantitatively compared for simulated and measured 23Na TQTPPI data. In both cases, the measurement time can be reduced by a factor of 5 without significantly decreasing the accuracy.
a) The TQTPPI pulse sequence consisted of three 90° pulses and an additional 180° refocusing pulse. In every phase step both the evolution time and a phase are incremented. b) A fully sampled TQTPPI FID and the corresponding NUS TQTPPI FID are shown. The undersampling pattern was sinusoidal Poisson gap sampling c) A Fourier transformation leads to a sparse spectrum consisting of SQ and TQ signals. The Fourier transform of the NUS FID shows an increased noise level and reduced SQ and TQ signals. The spectrum and FID can be recovered using CS.
Variation of undersampling factor in the range of 2 to 16 using simulated data. The parameters were: ATQ/ASQ=10%, SNR=70, T2S=39ms and T2F=10ms. a), b) and c) show ATQ/ASQ, T2S and T2F, respectively. The deviation to ground truth was less than 5% for undersampling factors up to 5. For T2S there is a small offset for NUSF.