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

Journal of Computational Methods in Sciences and Engineering

Volumn 1, Issue 2-3, 2001, Pages 327-352

  Antoine, Jean Pierre ^a   Coron, Alain ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

denoising; Gabor transform; Magnetic Resonance Spectroscopy (MRS); metabolite quantitation; phase correction; solvent peak suppression; time frequency representive; time scale represention; wavelet transform

Indexed keywords

APPLICATION PROGRAMS; MAGNETIC RESONANCE SPECTROSCOPY; MAGNETISM; MATHEMATICAL TRANSFORMATIONS; METABOLITES; RESONANCE; TIME MEASUREMENT; WAVELET TRANSFORMS;

DE-NOISING; GABOR TRANSFORM; MAGNETIC RESONANCE SPECTROSCOPIES (MRS); PHASE CORRECTIONS; TIME FREQUENCY; TIME-SCALES;

MAGNETIC RESONANCE;

EID: 20744460594     PISSN: 14727978     EISSN: None     Source Type: Journal    
DOI: 10.3233/JCM-2001-12-311     Document Type: Article

References (51)

1. A. Aidroubi and M. Unser (eds.), Wavelets in Medicine and Biology, CRC Press, Boca Raton, FL, 1996.
2. M. Unser and A. Aidroubi, A review of wavelets in biomedical applications, Proc. IEEE, 84, pp. 626-638 (1996).
3. A.F. Lame, Wavelets in temporal and spatial processing of biomedical images, Anna. Rev. Biomed. Eng., 2, pp. 511-550 (2000).
4. A.M. Bianchi, L.T. Mainardi, and S. Cerutti, Time-frequency analysis of biomedical signals, Trans. Inst. Meas. Control, 22, pp. 215-230 (2000).
5. A.K. Leung, F. Chau, and J. Gao, A review on applications of wavelet transform techniques in chemical analysis: 1989-1997, Chemum. latch. Lab. Syst., 43, pp. 165-184 (1998).
6. X.G. Shao and W.S. Cai, Wavelet analysis in analytical chemistry, Rev. Anal. Chem., 17, pp. 235-285 (1998).
7. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, PA, 1992.
8. B. Torrésani, Analyse continue par ondelettes, InterEditions/CNRS Editions, Paris, 1995; Engl. Transl., SIAM, Philadelphia, PA (in press).
9. P. Flandrin, Time-Frequency/Time-Scale Analysis, Academic Press, San Diego, CA, 1999.
10. S. Mallat, A Wavelet Tour of Signal Processing, 2nd ed., Academic Press, San Diego, CA, 1999.
11. H.G. Feichtinger and T. Strohmer (eds.), Gabor Analysis and Algorithms Theory and Applications, Birkhaüser, Boston-Basel-Berlin, 1998
12. P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, Englewood Cliffs, NJ, 1993.
13. H.S. Malvar, Signal Processing with Lapped Transforms, Artech House, Norwood, 1992.
14. R.A. Gopinath and CS. Burrus, Some results in the theory modulated filter banks and modulated wavelet tight frames, Appi. Comp. Harm. An., 2. pp. 303-326 (1995).
15. W. Mecklenbraüker and F. Hlawatsch (eds.), The Wigner Distribution, Elsevier, Amsterdam, 1997.
16. P. Guillemain. R. Kronland-Martinet, and B. Martens, Estimation of spectral lines with the help of the wavelet transform Application in N.M.R. spectroscopy, Y. Meyer (ed.), Wavelets and Applications Proceedings of the International Conference Marseihle, France, May 1989, pp. 38-60, Masson, Paris, and Springer-Verlag, Berlin, 1991.
17. N. Delprat, B. Escudié, P. Guillemain, R. Kronland-Martinet, P. Tchamitchian, and B. Torrésani, Asymptotic wavelet and Gabor analysis: Extraction of instantaneous frequencies, IEEE Trans. Inform. Theory, 38, pp. 644-664 (1992).
18. D. Barache, J.-P. Antoine, and J.-M. Dereppe, The continuous wavelet transform, an analysis tool for NMR spectroscopy, J. Magn. Reson., 128, pp. 1-11 (1997).
19. J.-P. Antoine, A. Coron, and J.-M. Dereppe, Water peak suppression : Time-frequency vs time-scale approach, J. Magn. Reson., 144, pp. 189-194 (2000).
20. W.S. Price, Water signal suppression in NMR spectroscopy, Annu. Rep. NMR Spectrosc., 38, pp. 289-354 (1999).
21. H. Serrai, L. Senhadji, D. Clayton, and J.D. de Certaines, Evaluation of the continuous wavelet transform as a potential method for postacquisition water suppression in biomedical proton magnetic resonance spectroscopy, Spectrosc. Lett., 33, pp. 47-67 (2000).
22. A. Coron, L. Vanhamme, J.-P. Antoine, P. Van Hecke, and S. Van Huffel, The filtering approach to solvent peak suppression in MRS: A critical review, J. Magn. Reson., 152, pp. 26-40 (2001).
23. T. Boskamp and P. Singer, Signal correction in magnetic resonance spectroscopy, in IEEE SF International Symposium on Time-Frequency and Time-Scale Analysis TFTS-98, Pittsburgh, pp. 261-264, 1998.
24. S. Ding and C.A. McDowell, High resolution, high sensitivity proton NMR spectra of solids obtained using continuous wavelet transform analysis, Chem. Phys. Lett., 322, pp. 341-350 (2000).
25. DL. Donoho and TM. Johnstone, Ideal spatial adaptation by wavelet shrinkage Biometrika, 81, pp. 425-455 (1994).
26. DL. Donoho and TM. Johnstone, Adapting to unknown smoothness via wavelet shrinkage, J. Am. Stat. Assoc., 90 (432), pp. 1200-1224 (1995).
27. J. Li and I. R. Greenshields, De-noising enmr spectra by wavelet shrinkage, In 11th IEEE Symposium on Computer-Based Medical Systems, 12-14 June 1998, Lubbock, pp. 252-255, 1998.
28. Y. Lu, S. Joshi, and J.M. Morris, Noise reduction for NMR FID signals via Gabor expansion, IEEE Trans. Biomed. Eng., 44, pp. 512-528 (1997).
29. O.A. Ahmed and MM. Fahmy, NMR signal enhancement via a new time-frequency transform, in IEEE International Conference on Acoustics Speech and Signal Processing, 5-9 June 2000, Istanbul, volume 6, pp. 3602-3605, 2000.
30. O.A. Ahmed and MM. Fahmy, Stable critically-sampled Gabor transform with localized biorthogonal function, In IEEE SF International Symposium on Time-Frequency and Time-Scale Analysis TFTS-98, Pittsburgh, pp. 37-40, 1998.
31. H. Barkhuijsen, R. de Beer and D. van Ormondt, Improved algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals, J. Magn. Reson., 73, pp. 553-557 (1987).
32. S. Van Huffel. H. Chen. C. Decaniere and P. Van Hecke. Algorithm for time-domain NMB data fitting based on total least squares, J. Magn. Reson. Ser. A, 110, pp. 228-237 (1994).
33. H. Barkhuijsen, R. de Beer, W.M.M.J. Boveé and D. van Ormondt, Retrieval of frequencies, amplitudes, damping factors, and phases from time-domain signal using a linear least-squares procedure, J. Magn. Reson., 61, pp. 465-481 (1985).
34. J.W.C. van der Veen, R. de Beer, P. Luyten and D. van Ormondt, Accurate quantification of in vivo 31P NMR signals using the variable projection method and prior knowledge, Magn. Reson. Med., 6, pp. 92-98 (1988).
35. L. Vanhamme, A. van den Boogaart, and S. Van Huffel, Improved method for accurate and efficient quantification of MRS data with use of prior knowledge, J. Magn. Reson., 129, pp. 35-43 (1997).
36. H. Serrai, L. Senhadji, J.D. de Certaines, and J.L. Coatrieux, Time-domain quantification of amplitude, chemical shift, apparent relaxation time T and phase by wavelet-transform analysis. Application to biomedical magnetic resonance spectroscopy, J. Magn. Reson., 124, pp. 20-34 (1997).
37. H. Serrai, L. Nadal, M. Le Floch, G. Leray, L. Senhadji, N. Le Tallec, and J.D. de Certaines, Wavelet transform in magnetic resonance data processing: Application to subtraction of broad resonances, resolution of overlapping peaks and quantification, J. Magn. Reson. Anal., 3, pp. 79-86 (1997).
38. H. Serrai, A. Borthakur, L. Senhadji, R. Reddy, and N. Bansal, Time-domain quantification of multiple-quantum-filtered 23Na signal using continuous wavelet transform analysis, J. Magn. Reson., 142. pp. 341-347 (2000).
39. J.H.J. Leclerc, Time-frequency representation of damped sinusoids, J. Magn. Reson., 95, pp. 10-31(1991).
40. J.H.J. Leclerc, The pseudo-Wigner distribution of double and triple resonances, J. Magn. Reson., 100, pp. 171-182 (1992).
41. J.H.J. Leclerc, Quantification of noisy MRS signals with the pseudo-Wigner distribution, IEEE Trans. Biomed. Eng., 41, pp. 809-819 (1994).
42. K. Young, B.J. Soher, and A.A. Maudsley, Automated spectral analysis II: application of wavelet shrinkage for characterization of non-parameterized signals, Magn. Reson. Med., 40, pp. 816-821 (1998).
43. B.J. Soher, K. Young, V. Govindaraju, and A.A. Maudsley, Automated spectral analysis III: Application to in Vivo proton MR spectroscopy and spectroscopic imaging, Magn. Reson. Med., 40, pp. 822-831 (1998).
44. C. Elster, A. Link, F. Schubert, F. Seifert, M. Waizel, and H. Rinneberg, Quantitative MRS: comparison of time domain and time domain frequency domain methods using a novel test procedure, Magn. Reson. Imaging. 18, pp. 597-606 (2000).
45. L.T. Mainardi, D. Origgi, N. Castelnuovo, G. Ghezzi, A. Falini, G. Scotti, and S. Cerutti, Automatic extraction of metabolic maps from 'H-2D-CSI data through a wavelet packets decomposition method. in Proc. of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. 29 Oct 1 Nov 1998. Hong Kong. volume 20. pp. 1461-1462 (1998).
46. A. Rosemary Tate, D. Watson, S. Eglen, TN. Arvanitis, EL. Thomas, and J.D. Bell, Automated feature extraction for the classification of human in Vivo'3c NMR spectra using statistical pattern recognition and wavelets. Magn. Reson. Med., 35, pp. 834-840 (1996).
47. A. Rosemary Tate, S. Grabb, J.R. Griffiths, S.L. Howells, R.A. Mazucco, L.M. Rodrigues, and D.Watson, Lipid metabolite peaks in pattern recognition analysis of tumour in Vivo MR spectra, Anticancer Res., 16, pp. 1575-1580(1996).
48. W. El-Deredy, Pattern recognition approaches in biomedical and clinical magnetic resonance spectroscopy: A review, NMR Biomed., 10, pp. 99-124 (1997).
49. X. Shao, H. Gu, J. Wu, andY. Shi, Resolution of the NMR spectrum using wavelet-transform, Appi. Spectrosc., 54, pp. 731-738 (2000).
50. G. Neue, Simplification of dynamic NMR spectroscopy by wavelet transforms, Solid State Nuci. Magn. Reson., 5, pp. 305-314 (1996).
51. U.L. Gunther, C. Ludwig, and H. Rüterjans, NMRLAB advanced NMR data processing in Matlab, J. Magn. Reson., 145, pp. 201-208(2000).