Spectrum estimation and the Fourier transform in imaging and spectroscopy

Concepts in Magnetic Resonance

Volumn 8, Issue 5, 1996, Pages 339-381

  Angelidis, Pantelis A ^a  

^a Platon   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030305397     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0534(1996)8:5<339::aid-cmr3>3.0.co;2-#     Document Type: Article

References (36)

1. R. N. Bracewell, The Fourier Transform and its Applications, McGraw Hill, New York, 1986.
2. A. Papoulis, Signal Analysis, McGraw Hill, New York, 1977.
3. O. Brigham, The Fast Fourier Transform, Prentice-Hall, London, 1974.
4. F. J. Harris, "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform," Proc. IEEE, 1978, 66, 52-83.
5. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing, Prentice-Hall, London, 1975.
6. H. Barkhuijsen, R. DeBeer, A. C. Drogendijk, D. Van Ormondt, and J. W. C. Van DerVeen, "Quantitative Analysis of NMR Signals in the Time Domain," in Proceedings of the International School of Physics "Enrico Fermi," Course C, B. Maraviglia, Ed., Como, Italy July 8-18, 1986, pp. 313-344.
7. A. S. Householder, "On Prony's Method of Fitting Exponential Decay Curves and Multiple-Hit Survival Curves," in Oak Ridge National Laboratory Report ORNL-455, Oak Ridge, Tenn., February 1950.
8. R. De Beer, W. Bovée, A. deGraaf, D. Van Ormondt, W. Pijnapple, and R. Chamuleau, "Retrieval of Significant Parameters via SVD," in SVD and Signal Processing, E. F. Deprettere, Ed., Elseiver, North-Holland, Amsterdam, 1988, pp. 473-477.
9. J. P. Burg, "Maximum Entropy Spectral Analysis," Ph.D. Dissertation, Standford University, Stanford, CA, May 1975.
10. D. W. Tufts and R. Kumaresan, "Estimation of Frequencies of Multiple Sinusoids: Making Linear Prediction Perform Like Maximum Likelihood," Proc. IEEE, 1982, 70, 975-989.
11. R. Kumaresan and D. W. Tufts, "Estimating the Parameters of Exponentially Damped Sinusoids and Pole-Zero Modeling in Noise," IEEE Trans. Imag. Proc., 1982, 30, 833-840.
12. A. D. Derome, Modern NMR Techniques for Chemistry Research, Pergamon, Oxford, 1987.
13. S. L. Marple, JR., Digital Spectral Analysis with Applications, Prentice-Hall, Englewood Cliffs, NJ, 1987.
14. S. M. Kay, Modern Spectral Estimation, Prentice-Hall, Englewood Cliffs, NJ, 1988.
15. A. K. Jain, Fundamentals of Digital Image Processing, Prentice-Hall, Englewood Cliffs, NJ, 1989.
16. D. E. Dungeon and R. M. Mersereau, Multidimensional Signal Processing, Prentice-Hall, Englewood Cliffs, NJ, 1984.
17. R. T. Constable and R. M. Henkelman, "Why MEM Does Not Work in MR Image Reconstruction," Magn. Reson. Med., 1990, 14, 12-25.
18. P. Flandrin, "Some Features of Time-Frequency Representations of Multi-Component Signals," in IEEE Conf. Acoust. Speech Signal. Proc., 41.B.4.1-4, San Diego, CA, 1984.
19. E. P. Wigner, "On the Quantum Correction for Thermo-Dynamic Equilibrium," Phys. Rev., 1932, 40, 749-759.
20. T.A.C.M. Claasen and W.F.G. MeCklenbrauker, "The Wigner Distribution - A Tool for Time-Frequency Representation of Signals and Systems," Phil. J. Res., 1980, 55, 217-250; 276-300.
21. J. H. J. LeClerc, "Time-Frequency Representation of Damped Sinusoids," J. Magn. Reson., 1991, 95, 10-31.
22. P. Flandrin and B. Escudie, "An Interpretation of the Pseudo-Wigner-Ville Transform," Signal Proc., 1984, 6, 27-36.
23. P. A. Angelidis and G. D. Sergiadis, "Wigner Distribution of the NMR Signal," in Proceedings of the 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Paris, 1992, p. 2223.
24. I. Daubechies, "The Wavelet Transform, Time-Frequency Localisation and Signal Analysis," IEEE Trans. Info. Th., 1990, 36, 961-1005.
25. D. M. Healy and J. B. Weaver, "Two Applications of the Wavelet Transforms in MRI," IEEE Trans. Info. Th., 1992, 38, 840-860.
26. P. A. Angelidis "MR Image Compression Using a Wavelet Transform Coding Algorithm," Magn. Reson, Imag. 1994, 12, 1111-1120.
27. P. A. Angelidis and G. D. Sergiadis, "Time-Frequency Representation of Damped Sinusoids Using the Zak Transform," J. Magn. Reson., A, 1993, 103, 191-195.
28. P. A. Angelidis, "A Set of Optimal Algorithms for MRI Reconstruction" (in Greek). Aristotle University of Thessaloniki, Greece. Ph.D. dissertation, 1994.
29. P. A. Rinck, et al., "Modified Spin-Echo Sequence in Tumor Diagnosis." Magn. Reson. Med., 1984, 1, 237-252.
30. D. A. Ortendahl, et al., "Signal to Noise in Derived NMR Images," Magn. Reson. Med., 1984, 1, 316-338.
31. P. A. Rinck, "Relaxation-Times Blues," Hospimedica, 1991, IX, 3.
32. M. A. Foster and J. M. S. Hutchinson, Eds., Practical NMR Imaging, IRL Press, Oxford, 1987.
33. P. Mansfield and P. G. Morris, NMR Imaging in Biomedicine, Academic, New York, 1982.
34. R. V. Mulkern, S. T. S. Wong, P. Jakab, A. R. Bleier, T. Sandor, and F. A. Jolesz, "CPMG Imaging Sequences for High Field in Vivo Transverse Relaxation Studies," Magn. Reson. Med., 1990, 16, 67-79.
35. C. M. Lai and P. C. Lauterbur, "Automatic Correction of Nuclear Magnetic Resonance Zeugmatographic Projections," J. Phys. E Sci. Instrum., 1981, 14, 874-879.
36. P. A. Angelidis K. P. Vassiliadis, N. G. Miridis, and G. D. Sergiadis, "Autocorrelation Image Reconstruction: Improving the SNR of MR Images by Processing Raw Data," in Proceedings of the 11th SMRM Annual Meeting, Berlin, August 1992, pp. 4255.