| The Continuous Wavelet Transform in MRS |
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Aimamorn Suvichakorn , Christina Lemke , Adalberto Schuck Jr. and Jean-Pierre Antoine
Abstract:
This tutorial text reviews some applications of the Continuous Wavelet Transform (CWT) in Magnetic Resonance Spectroscopy (MRS), focusing on the problems of spectral line estimation,namely, apodization, random noise, baseline, solvent peak, nonstandard lineshapes. First, we usea standard wavelet, namely the Morlet wavelet. Next, we introduce a new type of wavelet, derived from the autocorrelation function of a model signal. Finally, we apply this new technique for constructingadapted wavelets, generated from the metabolite data themselves. A short compendium on the basics of the CWT and some explicit numerical programs are given in two Appendices. Read more
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