Noise reduction for NMR FID signals via Gabor expansion

IEEE Transactions on Biomedical Engineering

Volumn 44, Issue 6, 1997, Pages 512-528

  Lu, Youhong ^a,b   Joshi, Sanjay ^c   Morris, Joel M ^a,c  

^a IEEE   (United States)

^b Coherent Communications Systems Corporation ^*  (United States)

^c University of Marylandw Baltimore County   (United States)

Author keywords

Analysis and synthesis filters; free induction decay; Gabor expansion; Gabor transform; noise reduction; nuclear magnetic resonance

Indexed keywords

FREE INDUCTION DELAY; GABOR EXPANSION; GABOR TRANSFORM; JOINT TIME FREQUENCY DOMAIN;

FREQUENCY DOMAIN ANALYSIS; FREQUENCY MODULATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NUCLEAR MAGNETIC RESONANCE; SPURIOUS SIGNAL NOISE; TIME DOMAIN ANALYSIS;

SIGNAL PROCESSING;

ARTICLE; CALCULATION; NOISE REDUCTION; NUCLEAR MAGNETIC RESONANCE; SIGNAL PROCESSING;

LINEAR MODELS; MAGNETIC RESONANCE SPECTROSCOPY; NONLINEAR DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 0031172427     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.581949     Document Type: Article

References (15)

1. A. Abragam, The Principles of Nuclear Magnetism. Oxford, U.K.: Clarendon, 1961.
2. J. D. De Certaines, W. M. M. J. Bovee, and F. Podo, Eds, Magnetic Resonance Spectroscopy in Biology and Medicine. Oxford, U.K.: Pergamon, 1993.
3. H. Barkhuijsen, R. De Beer, and D. Van OrMondt, "Improve algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals," J. Magn. Reson., vol. 73, pp. 553-557, 1987.
4. M. Joliot, B. M. Mazoyer, and R. H. Huesman, "In vivo NMR spectral parameter estimation: A comparison between time and frequency domain methods," Magn. Reson. Med., vol. 18, pp. 358-370, 1991.
5. S. W. Flax, N. J. Pelc, G. H. Glover, F. D. Gutmann, and M. Mclachlan, "Spectral characterization and attenuation measurements in ultrasound," Ultrason. Imag., vol. 5, pp. 95-116, 1983.
6. T. Lei and W. Sewchand, "Image segmentation by using finite normal mixture model and EM algorithm," in Proc. 1989 IEEE Int. Conf. Image Processing, Sept. 1989.
7. B. Friedlander and B. Porat, "Detection of transient signals by Gabor representation," IEEE Trans. Acout., Speech, Signal Processing, vol. 37, no. 2, pp. 169-180, Feb 1989.
8. J. H. J. Leclerc, "Time-frequency representation of damped sinusoids," J. Magn. Reson., vol. 95, pp. 10-31, 1991.
9. P. A. Angelidis and G. D. Sergiadis, "Time-frequency representation of damped sinusoids using the Zak transform," J. Magn. Reson. Series A, vol. 103, pp. 191-195, 1993.
10. J. B. Allen and L. R. Rabiner, Multirate Signal Processing. Englewood Cliffs, NJ: Prentice Hall, Inc., 1993.
11. 2(Z) via frame theory," Signal Processing, vol. 40, no. 3, pp. 155-191, Nov. 1994.
12. Y. Lu, "Biorthogonal-like functions and their application to generalized Gabor expansions and signal processing," Ph.D. Dissertation, Univ. Maryland Baltimore County, Baltimore, MD, Aug. 1995.
13. J. M. Morris and Y. Lu, "Generalized Gabor expansion of discrete-time signals in 12(Z) via biorthogonal-like sequences," IEEE Trans. Signal Processing, vol. 44, no. 8, pp. 1378-1391, June 1996.
14. I. Daubechies, "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inform. Theory, vol. 36, no. 5, pp. 961-1005, Sept. 1990.
15. M. Zibulaski and Y. Y. Zeevi, "Oversampling in Gabor scheme," IEEE Trans. Signal Processing, vol. 41, no. 8, pp. 2679-2683, Aug. 1993.