Time-Frequency and Time-Scale Approach to Magnetic Resonance Spectroscopy

Article type: Research Article

Authors: Antoine, Jean-Pierre^{a; *} | Coron, Alain^{b; **}

Affiliations: [a] Institut do Physique Théorique, Université Catholique do Louvain, B-1348 Louvain-la-Nouve, Belgium | [b] Applied Physics Department, Delft University of Technology, 2600 GA Delft, The Netherlands

Correspondence: [*] Corresponding author. E-mail: [email protected]. Phone: +32 10 473283. Fax: +32 10 472414.

Note: [**] Currently supported by EC Training and Mobility of Researchers contract ERB-FMRX-CT970160. Present E-mail: [email protected].

Abstract: We review various applications of time-frequency and time-scale representations of signals in Magnetic Resonance Spectroscopy (MRS). First we give a brief survey of the mathematical tools, essentially the wavelet transform and the Gabor transform, both continuous and discrete. Then we turn to the applications and review the literature on signal correction and rephasing, solvent peak suppression, denoising, metabolite quantitation, etc. We conclude with some indications on available software.

Keywords: Magnetic Resonance Spectroscopy (MRS), time-frequency representation, time-scale representation, wavelet transform, Gabor transform, solvent peak suppression, phase correction, denoising, metabolite quantitation

Keywords: 42A38, 42C40, 92C55, 94A12

DOI: 10.3233/JCM-2001-12-311

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 1, no. 2-3, pp. 327-352, 2001