New denoising scheme for magnetic resonance spectroscopy signals

IEEE Transactions on Medical Imaging

Volumn 24, Issue 6, 2005, Pages 809-816

  Ahmed, Osama A ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Magnetic resonance spectroscopy; Signal enhancement; Time frequency analysis; Wavelet packet; Wavelet transforms

Indexed keywords

DIAGNOSIS; DISEASES; INTEGRATED CIRCUITS; MEDICAL IMAGING; SIGNAL PROCESSING; SIGNAL TO NOISE RATIO; WAVELET TRANSFORMS;

SIGNAL ENHANCEMENT; TIME-DEPENDENT SPECTRA; TIME-FREQUENCY ANALYSIS; WAVELET PACKETS;

MAGNETIC RESONANCE SPECTROSCOPY;

ALGORITHM; ARTICLE; CHEMICAL MODEL; COMPUTER SIMULATION; EVALUATION; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; MAGNETIC RESONANCE SPECTROSCOPY; MODELS, CHEMICAL; MODELS, STATISTICAL; STOCHASTIC PROCESSES;

EID: 20744437138     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2004.828350     Document Type: Article

References (34)

1. J. C. Lindon and A. G. Ferrige, "Digitization and data processing in Fourier transform NMR," Progress NMR Spectroscopy, vol. 14, no. 1, pp. 27-66, 1980.
2. Y. Lin and L. Hwang, "NMR signal enhancement based on matrix property mappings," J. Magn. Reson. Ser. A, vol. 103, pp. 109-114, 1993.
3. H. Itagaki, "Improvements of nuclear magnetic resonance image quality using iterations of adaptive nonlinear filtering," IEEE Trans. Image Process., vol. 12, no. 2, pp. 322-328, Jun. 1993.
4. M. E. Alexander, R. Baumgarter, A. Summers, C. Windishberger, M. Klarhoefer, E. Moser, and R. Somorjai, "A wavelet-based method for improving signal-to-noise ratio and contrast in MR images," Magn. Reson. Imag., vol. 18, no. 2, pp. 169-180, 2000.
5. R. Nowak, "Wavelet-based rician noise removal for magnetic resonance imaging," IEEE Trans. Image Process., vol. 8, no. 3, pp. 1408-1419, Mar. 1999.
6. S. Zaroubi and G. Goelman, "Complex denoising of MR data via wavelet analysis: application for functional MRI," Magn. Reson. Imag., vol. 18, no. 1, pp. 59-68, 2000.
7. X. Shao, H. Gu, J. Wu, and Y. Shi, "Resolution of the NMR spectrum using wavelet transform," Appl. Spectroscopy, vol. 543, pp. 731-738, 2000.
8. Y. Lu, S. Joshi, and J. M. Morris, "Noise reduction for NMR FID signals via Gabor expansion," IEEE Trans. Biomed. Eng., vol. 44, no. 6, pp. 512-528, Jun. 1997.
9. O. Ahmed and M. Fahmy, "NMR signal enhancement via a new time-frequency transform," IEEE Trans. Med. Imag., vol. 20, no. 10, pp. 1018-1025, Oct. 2001.
10. J. Antoine and A. Coron, "Time-frequency and time-scale approach to magnetic resonance," J. Computat. Methods Sci. Eng., vol. 1, pp. 327-352, 2001.
11. H. Chen, S. Van Huffel, C. Decanniere, and P. Vanhecke, "A signal-enhancement algorithm for the quantification of NMR data in the time-domain," J. Magn. Reson. Ser. A, vol. 109, no. 1, pp. 46-55, 1994.
12. J. Leclerc, "Time-frequency representation of damped sinusoids," J. Magn. Reson., no. 95, pp. 10-31, 1991.
13. P. Angelidis and G. Sergiads, "Time-frequency representation of damped sinusoids using the Zak transform," J. Magn. Reson. Ser. A, no. 103, pp. 191-195, 1993.
14. J. Weaver, Y. Xu, D. Healy, and J. Driscoll, "Filtering MR images in the wavelet transform domain," Magn. Reson. Med., vol. 21, pp. 288-295, 1991.
15. D. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inf. Theory, vol. 41, no. 4, pp. 613-627, Apr. 1995.
16. B. Delyon and A. Juditsky, "On minimax wavelet estimators," J. Appl. Computat. Harmonic Anal., vol. 3, pp. 215-228, 1996.
17. K. Tribouley, "Practical estimation of multivariate densities using wavelet methods," Statistica Neerlandica, vol. 49, pp. 41-62, 1995.
18. D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Picard, "Density estimation by wavelet thresholding," Ann. Statist., vol. 24, pp. 508-539, 1996.
19. G. Kerkyacharian, D. Picard, and K. Tribouley, "Lp adaptive density estimation," Bernoulli, vol. 2, pp. 229-247, 1996.
20. R. Coifman and M. Wickerhauser, "Entropy based algorithms for best basis selection," IEEE Trans. Inf. Theory, vol. 38, no. 3, pp. 713-718, Mar. 1992.
21. N. Hess-Nielsen and M. V. Wickerhauser, "Wavelets and time-frequency analysis," Proc. IEEE, vol. 84, no. 4, pp. 523-541, Apr. 1996.
22. S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3397-3415, Dec. 1993.
23. R. Coifman and M. Wickerhauser, "Experiments with adapted wavelet de-noising for medical signals and images," in Time-Frequency and Wavelets in Biomedical Engineering, M. Akay, Ed. Piscataway, NJ: IEEE Press, 1998, pp. 323-346.
24. J. Wood and K. Johnson, ''Wavelet packet denoising of magnetic resonance images: importance of rician noise at low snr," Magn. Reson. Med., vol. 41, pp. 631-635, 1999.
25. M. Joliot, B. M. Mazoyer, and R. H. Heusman, "In vivo NMR spectral parameter estimation: a comparison between time and frequency domain methods,"Magn. Reson. Med., vol. 18, pp. 358-370, 1991.
26. A. Abragam, The Principles of Nuclear Magnetism, Oxford, U.K., 1961.
27. O. Ahmed and M. Fahmy, "Stable critically sampled Gabor transform with localized biorthogonal function," in Proc. IEEE Int. Symp. Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, Oct. 1998, pp. 37-40.
28. B. Delyon and A. Juditsky, "On minimax wavelet estimators," J. Appl. Computat. Harmonic Anal., vol. 3, pp. 215-228, 1996.
29. Q. Pan, L. Zhang, G. Dai, and H. Zhang, "Two denoising methods by wavelet transform," IEEE Trans. Signal Process., vol. 47, no. 12, pp. 3401-3406, Dec. 1999.
30. L. Zhang, P. Bao, and Q. Pan, "Threshold analysis in wavelet-based denoising," Electron. Lett., vol. 37, no. 24, pp. 1485-1486, Nov. 2001.
31. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
32. 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., no. 129, pp. 35-43, 1997.
33. S. Qian and D. Chen, Joint Time-Frequency Analysis: Methods and Applications. Upper Saddle River, NJ: Prentice-Hall PTR, 1996.
34. O. Ahmed, "Fast computation of discrete SLTF transform," in Proc. 11th IEEE Workshop Statistical Signal Processing, Singapore, Aug. 2001, pp. 317-320.