NMR signal enhancement via a new time-frequency transform.
In this paper, a reliable method to reduce the noise from nuclear magnetic resonance (NMR) signals using a recently developed linear critically sampled time-frequency transform is proposed. In addition to its low computational requirements, this transform has many theoretical advantages that make it a good candidate for NMR signal enhancement. NMR signals in the transform domain are concentrated in a few coefficients while the noise is well distributed. Performing a thresholding technique in the transform domain, therefore, significantly enhances the signal. A comparison with other signal enhancement techniques shows that this technique has a superior performance, thus confirming the theoretical expectations.
Ahmed
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OA
Research Institute, King Fahd University of Petroleum and Minerals, Dhahrna, Saudi Arabia. osamaa@kfupm.edu.sa
Fahmy
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MM
D000465:Algorithms; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D012815:Signal Processing, Computer-Assisted; D013996:Time and Motion Studies