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Abstract : |
A reliable method to reduce the noise from the 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 very few number of coefficients while the noise is fairly!: distributed among the coefficients. Therefore, performing a thresholding technique in the transform domain significantly enhance the signal. Comparison with other noise reduction techniques used for the same purpose showed that this technique has superior performance thus confirming with the theoretical expectations., 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., A reliable method to reduce the noise from nuclear magnetic resonance (NMR) signals using a previously 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 very few number of coefficients while the noise is fairly distributed among the coefficients. Therefore, performing a thresholding technique in the transform domain significantly enhances the signal. Comparison with other noise reduction techniques used for the same purpose showed that this technique has superior performance thus confirming the theoretical expectations, |
