Spectral estimation of irregularly sampled exponentially decaying signals with applications to RF spectroscopy

Journal of Magnetic Resonance

Volumn 203, Issue 1, 2010, Pages 167-176

  Gudmundson, Erik ^a   Stoica, Petre ^a   Li, Jian ^b   Jakobsson, Andreas ^c   Rowe, Michael D ^d   Smith, John A S ^d   Ling, Jun ^b  

^a UPPSALA UNIVERSITY   (Sweden)

^b University of Florida   (United States)

^c LUND UNIVERSITY   (Sweden)

^d KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Irregularly sampled data; Missing data; Nonparametric spectral estimation; Spectral estimation; Spectroscopic techniques

Indexed keywords

ADAPTIVE APPROACH; DAMPING COEFFICIENTS; ESTIMATION PERFORMANCE; ESTIMATION PROBLEM; NON-PARAMETRIC; NONPARAMETRIC METHODS; NUMERICAL EXAMPLE; SAMPLED DATA; SIMULATED DATA; SPECTRAL CONTENT; SPECTRAL ESTIMATION; SPECTROSCOPIC TECHNIQUE;

NUMERICAL METHODS; RADIOFREQUENCY SPECTROSCOPY; SPECTRUM ANALYSIS;

ESTIMATION;

AMMONIUM NITRATE; EXPLOSIVE; FERTILIZER; NITRATE;

ALGORITHM; ARTICLE; CHEMISTRY; COMPUTER SIMULATION; MONTE CARLO METHOD; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; RADIOFREQUENCY RADIATION; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; EXPLOSIVE AGENTS; FERTILIZERS; MAGNETIC RESONANCE SPECTROSCOPY; MONTE CARLO METHOD; NITRATES; RADIO WAVES; STOCHASTIC PROCESSES;

EID: 75749098400     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2009.12.015     Document Type: Article

References (32)

1. Stoica P., and Moses R. Spectral Analysis of Signals (2005), Prentice Hall, Upper Saddle River, NJ
2. Wang Y., Li J., and Stoica P. Spectral Analysis of Signals - The Missing Data Case (2005), Morgan & Claypool
3. In: Marvasti F.A. (Ed). Nonuniform Sampling: Theory and Practice (2001), Kluwer Academic/Plenum Publishers
4. Hua Y., and Sarkar T.K. Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise. IEEE Trans. Acoust. Speech Signal Process. 38 5 (1990) 814-824 10.1109/29.56027
5. Stoica P., and Sundin T. Nonparametric NMR spectroscopy. J. Magn. Reson. 152 (2001) 57-69 10.1006/jmre.2001.2377
6. Marshall I., Higinbotham J., Bruce S., and Freise A. Use of Voigt lineshape for quantification of in vivo 1H spectra. Magn. Reson. Med. 37 5 (1997) 651-657 10.1002/mrm.1910370504
7. Vanhamme L., Sundin T., van Hecke P., and van Huffel S. MR spectroscopy quantitation: a review of time-domain methods. NMR Biomed. 14 4 (2001) 233-246 10.1002/nbm.695
8. Mierisová S., and Ala-Korpela M. MR spectroscopy quantitation: a review of frequency domain methods. NMR Biomed. 14 4 (2001) 247-259 10.1002/nbm.697
9. Yang D.-K., Atkins J.E., Lester C.C., and Zax D.B. New developments in nuclear magnetic resonance using noise spectroscopy. Mol. Phys. 95 (1998) 747-757
10. Yang D.-K., and Zax D.B. Bandwidth extension in noise spectroscopy. J. Magn. Reson. 135 (1998) 267-270
11. Pursley R.H., Kakareka J., Salem G., Devasahayam N., Subramanian S., Tschudin R.G., Krishna M.C., and Pohida T.J. Stochastic excitation and Hadamard correlation spectroscopy with bandwidth extension in RF FT-EPR. J. Magn. Reson. 162 (2003) 35-45
12. Liao M.-Y., and Zax D.B. Analysis of signal-to-noise ratios for noise excitation of quadrupolar nuclear spins in zero field. J. Phys. Chem. 100 (1996) 1483-1487
13. Somasundaram S.D., Jakobsson A., Rowe M.D., Smith J.A.S., Butt N.R., and Althoefer K. Robust detection of stochastic nuclear quadrupole resonance signals. IEEE Trans. Signal Process. 56 9 (2008) 4221-4229
14. Stoica P., Larsson E.G., and Li J. Adaptive filterbank approach to restoration and spectral analysis of gapped data. Astron. J. 120 (2000) 2163-2173
15. Wang Y., Stoica P., Li J., and Marzetta T.L. Nonparametric spectral analysis with missing data via the EM algorithm. Dig. Signal Process. 15 2 (2005) 191-206 10.1016/j.dsp.2004.10.004
16. Gesmar H., and Led J.J. Two-dimensional linear-prediction NMR spectroscopy. J. Magn. Reson. 83 1 (1989) 53-64 10.1016/0022-2364(89)90291-6
17. Mandelshtam V.A., Taylor H.S., and Shaka A.J. Application of the filter diagonalization method to one- and two-dimensional NMR spectra. J. Magn. Reson. 133 2 (1998) 304-312 10.1006/jmre.1998.1476
18. Bro R. PARAFAC. Tutorial and applications. Chemomet. Intel. Lab. Syst. 38 2 (1997) 149-171 10.1016/S0169-7439(97)00032-4
19. Hoch J.C., and Stern A.S. NMR Data Processing (1996), Wiley, New York
20. Stern A.S., Li K.-B., and Hoch J.C. Modern spectrum analysis in multidimensional NMR spectroscopy: comparison of linear-prediction extrapolation and maximum-entropy reconstruction. J. Am. Chem. Soc. 124 9 (2002) 1982-1993 10.1021/ja011669o
21. Hyberts S.G., Heffron G.J., Tarragona N.G., Solanky K., Edmonds K.A., Luithardt H., Fejzo J., Chorev M., Aktas H., Colson K., Falchuk K.H., Halperin J.A., and Wagner G. Ultrahigh-resolution 1H-13C HSQC spectra of metabolite mixtures using nonlinear sampling and forward maximum entropy reconstruction. J. Am. Chem. Soc. 129 16 (2007) 5108-5116 10.1021/ja068541x
22. Stern A.S., Donoho D.L., and Hoch J.C. NMR data processing using iterative thresholding and minimum l1-norm reconstruction. J. Magn. Reson. 188 2 (2007) 295-300 10.1016/j.jmr.2007.07.008
23. E. Gudmundson, A. Jakobsson, S.D. Somasundaram, On the reconstruction of gapped sinusoidal data, in: 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, Las Vegas, Nevada, 2008.
24. T. Yardibi, J. Li, P. Stoica, M. Xue, A.B. Baggeroer, Source localization and sensing: a nonparametric iterative approach based on weighted least squares, IEEE Trans. Aerospace Electron. Syst., in press.
25. W. Roberts, P. Stoica, J. Li, T. Yardibi, F.A. Sadjadi, Iterative adaptive approaches to MIMO radar imaging, IEEE J. Select. Topics Signal Process., in press.
26. Stoica P., Li J., and He H. Spectral analysis of nonuniformly sampled data: a new approach versus the periodogram. IEEE Trans. Signal Process. 57 3 (2009) 843-858 10.1109/TSP.2008.2008973
27. N.R. Butt, A. Jakobsson, Coherence spectrum estimation from non-uniformly sampled sequences, IEEE Signal Process. Lett., in press.
28. Stoica P., Li J., and Ling J. Missing data recovery via a nonparametric iterative adaptive approach. IEEE Signal Process. Lett. 16 4 (2009) 241-244 10.1109/LSP.2009.2014114
29. E. Gudmundson, A. Jakobsson, Efficient algorithms for computing the Capon and APES filters, in: 41st Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, 2007.
30. J.A.S. Smith, M.D. Rowe, R.M. Deas, M.J. Gaskell, Nuclear quadrupole resonance detection of landmines, in: International Conference on Requirements and Technologies for the Detection, Removal and Neutralization of Landmines and UXO, vol. 2, Vrije Universiteit Brussel, Brussel, Belgium, 2003, pp. 715-721. ISBN 9080826111.
31. Stoica P., and Sandgren N. Spectral analysis of irregularly-sampled data: paralleling the regularly-sampled data approaches. Dig. Signal Process. 16 6 (2006) 712-734 10.1016/j.dsp.2006.08.012
32. Yao Y., and Pandit S.P. Cramér-Rao lower bound for a damped sinusoidal process. IEEE Trans. Signal Process. 43 4 (1995) 878-885