Skip to main content
SpringerLink
Log in

Analysis of NMR Data Using Time Domain Fitting Procedures

  • Chapter
In-Vivo Magnetic Resonance Spectroscopy I: Probeheads and Radiofrequency Pulses Spectrum Analysis

Part of the book series: NMR ((NMR,volume 26))

Abstract

The beginning of this chapter sets out our main objective and how we intend to achieve it. As the title indicates, the content is concerned with parameter estimation in the time domain. Literally this is correct, but the term Time Domain is to be interpreted as Measurement Domain. Since in-vivo NMR measurements take place in the time domain, these two terms imply the same thing in practice. However, the intended interpretation should be kept in mind.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Abbreviations

BCF:

Baseline Cosine Fitting

CLEAN:

Deconvolution method

CR:

Cramér-Rao (lower bounds)

ESPRIT:

Estimation of Signal Parameters via Rotational Invariance Techniques (related to HSVD)

HSVD:

Hankel Singular Value Decomposition (State Space)

LP:

Linear Prediction

LPSVD:

Linear Prediction and Singular Value Decomposition

LP/VARPRO:

Linear-Prediction and VARiable PROjection (Evans-Fischl)

LS:

Least Squares

MEM:

Maximum Entropy Method

MLE:

Maximum Likelihood Estimation

SVD:

Singular Value Decomposition

TLS:

Total Least Squares

VARPRO:

VARiable PROjection

References

  1. Lindon JC, Fertige AG (1980) Prog NMR Spectrosc 14: 27.

    Article  CAS  Google Scholar 

  2. Haselgrove JC, Subramanian H, Christen R, Leigh JS (1987) Rev Magn Reson Med 2: 167.

    Google Scholar 

  3. Barna JCJ, Laue ED, Mayger M, Skilling J, Worrall SJP (1987) J Magn Reson 73: 69.

    CAS  Google Scholar 

  4. Manassen Y, Navon G (1988) J Magn Reson 79: 291.

    Google Scholar 

  5. Stephenson DS (1988) Prog NMR Spectrosc 20: 515.

    Article  CAS  Google Scholar 

  6. Beer R de, Ormondt D van, Pijnappel WWF, Veen JWC van der (1988) Israel J Chem 28: 249.

    Google Scholar 

  7. Bos A van den (1989) IEEE IM-38: 1005.

    Google Scholar 

  8. Henrichs MP, Hewitt JM, Young RH (1986) J Magn Reson 69: 460.

    CAS  Google Scholar 

  9. Heuer A, Haeberlen U (1989) J Magn Reson 85: 79.

    CAS  Google Scholar 

  10. Starčuk Z, Starčuk Z, Halámek J (1990) J Magn Reson 86: 30.

    Google Scholar 

  11. Beer R de, Ormondt D van, Pijnappel WWF (1988) in: Lacoume JL, Chehikian A, Martin N, Malbos J (eds) SIGNAL PROCESSING IV: Theories and applications. Elsevier, Amsterdam, p 1283.

    Google Scholar 

  12. Abildgaard F, Gesmar H, Led JJ (1988) J Magn Reson 79: 78.

    CAS  Google Scholar 

  13. Premoli A, Rastello ML (1989) Appl Spectrosc 43: 558.

    Article  CAS  Google Scholar 

  14. Slichter CP (1989) Principles of magnetic resonance, 3rd edn. Springer, Berlin Heidelberg New York.

    Google Scholar 

  15. Beer R de, Ormondt D van, Pijnappel WWF (1989) Proc ICASSP, p 1504.

    Google Scholar 

  16. Cope D, Khoury R, Lovett RJ (1988) J Quant Spectrosc Radiat Transfer 39: 163.

    Article  Google Scholar 

  17. Ouyang X, Varghese PL (1989) Appl Opt 28: 1538.

    Article  CAS  Google Scholar 

  18. Edzes HT (1990) J Magn Reson 86: 293.

    CAS  Google Scholar 

  19. Twieg DB, Meyerhoff DJ, Hubesch B, Roth K, Sappey-Marinier D, Boska MD, Gober JR, Schaefer S, Weiner MW (1989) Magn Reson Med 12: 291.

    Article  CAS  Google Scholar 

  20. See however Maudsley AA, Twieg DB, Sappey-Marinier D, Hubesch B, Hugg JW, Matson GB, Weiner MW (1990) Magn Reson Med 14: 415.

    Article  CAS  Google Scholar 

  21. Segebarth CM, Balériaux DF, Beer R de, Ormondt D van, Mariën AJH, Luyten PR, Hollander JA den (1989) Magn Reson Med 11: 349.

    Article  CAS  Google Scholar 

  22. Ormondt D van, Beer R de, Mariën AJH, Luyten PR, Hollander JA den, Vermeulen JWAH (1990) J Magn Reson 88: 652.

    Google Scholar 

  23. Beer R de, Ormondt D van, Pijnappel WWF, Veen JWC van der (1989) in: Skilling J (ed) Maximum entropy and Bayesian methods. Kluwer, Dordrecht, p 291.

    Google Scholar 

  24. Kumaresan R, Tufts DW (1982) IEEE Trans. ASSP-30: 833.

    Google Scholar 

  25. Barkhuysen H, Beer R de, Bovée WMMJ, Ormondt D van(1985) J Magn Reson 61: 465.

    Google Scholar 

  26. Barkhuysen H, Beer R de, Ormondt D van (1985) J Magn Reson 64: 343.

    Google Scholar 

  27. Barkhuysen H, Beer R de, Ormondt D van (1986) J Magn Reson 67: 371.

    Google Scholar 

  28. Tang J, Lin CP, Bowman MK, Noms JR (1985) J Magn Reson 62: 167.

    CAS  Google Scholar 

  29. Tang J, Norris JR (1988) J Magn Reson 78: 23.

    Google Scholar 

  30. Vaals JJ van, Gerven PHJ van (1990) J Magn Reson 86: 127.

    Google Scholar 

  31. Derby K, Hawryszko C, Tropp J (1989) Magn Reson Med 12: 235.

    Article  CAS  Google Scholar 

  32. Olejniczak ET, Eaton HL (1990) J Magn Reson 87: 628.

    CAS  Google Scholar 

  33. Marple SL (1987) Digital spectral analysis with applications. Prentice-Hall, Englewood Cliffs.

    Google Scholar 

  34. Kay SM (1988) Modern spectral estimation. Prentice-Hall, Englewood Cliffs.

    Google Scholar 

  35. Barone P, Guidoni L, Massaro E, Viti V (1987) J Magn Reson 73: 23.

    CAS  Google Scholar 

  36. Ormondt D van, Nederveen K (1981) Chem Phys Lett 82: 443.

    Article  Google Scholar 

  37. Beer R de, Ormondt D van (1989) in: Hoff AJ (ed) Advanced EPR. Applications in biology and biochemistry. Elsevier, Amsterdam, Chap. 4.

    Google Scholar 

  38. Golub GH, Van Loan CF (1988) Matrix computations, 2nd edn. Johns Hopkins University Press, Baltimore.

    Google Scholar 

  39. Huffel S van, Vandewalle J (1988) in: Deprettere EF (ed) SVD and signal processing (Proc. First International Workshop). Elsevier (North Holland), Amsterdam, p 189.

    Google Scholar 

  40. Rahman MDA, Yu KB (1987) IEEE Trans ASSP-35: 1440.

    Article  Google Scholar 

  41. Tirendi CF, Martin JF (1989) J Magn Reson 85: 162.

    Google Scholar 

  42. Laue ED, Skilling J, Staunton J, Sibisi S, Brereton RG (1985) J Magn Reson 62: 437.

    CAS  Google Scholar 

  43. Wright KM, Belton PS (1986) Mol Phys 58: 485.

    Article  CAS  Google Scholar 

  44. Daniell GJ, Hore PJ (1989) J Magn Reson 84: 515.

    CAS  Google Scholar 

  45. Hoch JC, Stern AS, Donoho DL, Johnstone IM (1990) J Magn Reson 86: 236.

    CAS  Google Scholar 

  46. Högbom J (1974) Astron J Suppl 15: 517.

    Google Scholar 

  47. Gladden LF, Carpenter TA, Klinowski J, Elliott RJ (1986) J Magn Reson 66: 93.

    CAS  Google Scholar 

  48. Barna JCJ, Tan SM, Laue ED (1988) J Magn Reson 78: 327.

    CAS  Google Scholar 

  49. Davies SJ, Bauer C, Hore JP, Freeman R (1988) J Magn Reson 76: 327, pertains to uniform sampling.

    Google Scholar 

  50. McKinnon GC, Burger C, Boesiger P (1990) Magn Reson Med 13: 145.

    Article  CAS  Google Scholar 

  51. Priestley MB (1981) Spectral analysis and time series, vols 1 and 2. Academic Press, London.

    Google Scholar 

  52. Bos A. van den (1982) Parameter Estimation, Ch. 8 in: Sydenham PH (ed) Handbook of measurement science, vol 1. Wiley, London.

    Google Scholar 

  53. Norton JP (1986) An introduction to identification. Academic Press, London.

    Google Scholar 

  54. Tarantola A (1987) Inverse problem theory. Methods for data fitting and model parameter estimation. Elsevier, Amsterdam.

    Google Scholar 

  55. Macovski A, Spielman D (1986) Magn Reson Med 3: 97.

    Article  CAS  Google Scholar 

  56. Börnert P, Dreher W (1990) J Magn Reson 87: 220.

    Google Scholar 

  57. Veen JWC van der, Beer R de, Luyten PR, Ormondt D van (1988) Magn Reson Med 6: 92.

    Article  Google Scholar 

  58. Spielman D, Webb P, Macovski A (1988) J Magn Reson 79: 66.

    Google Scholar 

  59. Spielman D, Webb P, Macovski A (1989) Magn Reson Med 12: 38.

    Article  CAS  Google Scholar 

  60. Horsfield MA, Hall C, Hall LD (1990) J Magn Reson 87: 319.

    CAS  Google Scholar 

  61. Graaf AA de, JE van Dijk, Bovée WMMJ (1990) Magn Reson Med 13: 343.

    Article  Google Scholar 

  62. Evans AJ, Fischl R (1973) IEEE Trans AU-21: 61.

    Google Scholar 

  63. Kumaresan R, Shaw AK (1985) Proc ICASSP, p 576.

    Google Scholar 

  64. Kumaresan R, Scharf LL, Shaw AK (1986) IEEE ASSP-34: 637.

    Article  Google Scholar 

  65. Bresler Y, Macovski A (1986) IEEE ASSP-34: 1081.

    Article  Google Scholar 

  66. Park SW, Cordaro JT (1987) Proc ICASSP, p 1501.

    Google Scholar 

  67. Golub GH, Pereyra V (1973) SIAM J Numer Anal 10: 413.

    Article  Google Scholar 

  68. Kung SY, Arun KS, Rao DVB (1983) J Amer Opt Soc 73: 1799.

    Article  Google Scholar 

  69. Barkhuysen H, Beer R de, Ormondt D van (1987) J Magn Reson 73: 553.

    Google Scholar 

  70. Lawson CL, Hanson RJ (1974) Solving least squares problems. Prentice Hall, Englewood Cliffs.

    Google Scholar 

  71. Klema VC, Laub AJ (1980) IEEE Trans AC-25: 164.

    Article  Google Scholar 

  72. Strang G (1988) Linear algebra and its applications, 3rd edn. Hartcourt Brace Jovanovitch, San Diego.

    Google Scholar 

  73. Comon P, Kopp L (1989) Proc IEEE 77: 492 (See ‘Author’s Reply’, p 493).

    Google Scholar 

  74. Cullum J, Willoughby RA (1985) Lanczos algorithms, vols. 1 and 2. Birkhäuser, Boston.

    Google Scholar 

  75. Millhauser GL, Carter AA, Schneider DJ, Freed JH, Oswald RE (1989) J Magn Reson 82: 150.

    Google Scholar 

  76. Hansen PC (1988) SVD of a Hankel Matrix. Internal Report, University of Copenhagen. See also Pijnappel WWF (1991) PhD Thesis, Univ. of Delft.

    Google Scholar 

  77. Kats JM van, Vorst HA van der (1977) Automatic Monitoring of Lanczos schemes for symmetric or skew-symmetric eigenvalue problems. Acad. Comput. Centre, Report TR-7, Univ of Utrecht.

    Google Scholar 

  78. Kailath T (1980) Linear systems. Prentice-Hall, Englewood Cliffs.

    Google Scholar 

  79. Heinig G, Rost K (1984) Algebraic methods for Toeplitz-like matrices and operators. Birkhäuser, Boston.

    Google Scholar 

  80. Schussheim AE, Cowburn D (1987) J Magn Reson 71: 371.

    Google Scholar 

  81. Johnson BA, Malikayil JA, Armitage IM (1988) J Magn Reson 76: 352.

    CAS  Google Scholar 

  82. Manassen Y, Navon G, Moonen CTW (1987) J Magn Reson 72: 551.

    CAS  Google Scholar 

  83. Gorcester J, Freed JH (1988) J Magn Reson 78: 292.

    CAS  Google Scholar 

  84. Luthon F, Blanpain R, Decorps M, Albrand P (1989) J Magn Reson 81: 538.

    CAS  Google Scholar 

  85. Tirendi CF, Martin JF (1989) J Magn Reson 81: 577.

    Google Scholar 

  86. Gesmar H, Led JJ (1989) J Magn Reson 83: 53.

    CAS  Google Scholar 

  87. Zeng Y, Tang J, Bush CA, Norris JR (1989) J Magn Reson 83: 473.

    CAS  Google Scholar 

  88. Madi ZL, Ernst RR (1988) J Magn Reson 79: 513.

    CAS  Google Scholar 

  89. Rao BD, Hari KVS (1989) IEEE Trans ASSP-37: 1990.

    Article  Google Scholar 

  90. Rao BD (1990) IEEE Trans ASSP-38: 177.

    Article  Google Scholar 

  91. Li F, Vaccaro RJ, Tufts DW (1990) Proc ICASSP, p 2575.

    Google Scholar 

  92. Tufts DW, Kot AC, Vaccaro RJ (1988) Proc ICASSP, p 2416.

    Google Scholar 

  93. Kot AC, Parthasarathy S, Tufts DW, Vaccaro RJ (1987) Proc ICASSP, p 1549.

    Google Scholar 

  94. Okhovat A, Cruz JR (1989) Proc ICASSP, p 2286.

    Google Scholar 

  95. Pijnappel WWF, Beer de R, Ormondt D van (1991) in: Vaccaro RJ (ed) SVD and Signal Processing, II Rhode Island. Elsevier, Amsterdam, p 293.

    Google Scholar 

  96. Barkhuysen H, Beer R de, Drogendijk AC, Ormondt D van, Veen JWC van der (1988) in: Maraviglia B (ed) Proc Int School of Physics “Enrico Fermi” on the Physics of NMR Spectroscopy in Biology and Medicine. Italian Physical Society, p 313.

    Google Scholar 

  97. Beer R de, Ormondt D van, Mariën AJH, Luyten PR, Hollander JA den (1990) Proc SMRM, p 210.

    Google Scholar 

  98. Beer R de, Bovée WMMJ, Graaf AA de, Ormondt D van, Chamuleau RAFM (1988) in: Deprettere EF (ed) SVD and signal processing, Elsevier (North Holland), Amsterdam, p 473.

    Google Scholar 

  99. Lohman HFM (1989) MSc Thesis (in Dutch), Delft University of Technology.

    Google Scholar 

  100. Barkhuysen H, Beer R de, Pronk BJ, Ormondt D van (1985) J Magn Reson 61: 284.

    Google Scholar 

  101. Yan H, Gore JC (1988) J Magn Reson 80: 324.

    Google Scholar 

  102. Henderson TL (1981) IEEE Trans ASSP-29: 982.

    Article  Google Scholar 

  103. Delsuc MA, Ni F, Levy GC (1987) J Magn Reson 73: 548.

    CAS  Google Scholar 

  104. Yan H, Gore JC (1989) J Magn Reson 81: 400.

    Google Scholar 

  105. Barkhuysen H, Beer R de, Bovée WMMJ, Brink AM van den, Drogendijk AC, Ormondt D van, Veen JWC van der (1986) in: Young IT et al. (eds) Signal processing III: Theory and applications. Elsevier, Amsterdam, p 1359.

    Google Scholar 

  106. Bovée WMMJ, Beer R de, Graaf AA de, Montizaan J, Ormondt D van, Deutz NEP, Chamuleau (1987) Proc SMRM, p. 383.

    Google Scholar 

  107. Galaszo JL, Bailey JE (1989) Biotechnol Tech 3: 13.

    Article  Google Scholar 

  108. Gesmar H, Led JJ (1988) J Magn Reson 76: 183.

    CAS  Google Scholar 

  109. Tang J, Norris JR (1988) J Magn Reson 79: 190.

    Google Scholar 

  110. Dumelow T, Riedi PC, Abell JS, Prakash O (1988) J Phys F 18: 307.

    Article  CAS  Google Scholar 

  111. Hoffman RE, Levy GC (1989) J Magn Reson 83: 411.

    CAS  Google Scholar 

  112. Sekihara K, Ohyama N (1990) Magn Reson Med 13: 332.

    Article  CAS  Google Scholar 

  113. Geen H, Wimperis S, Freeman R (1989) J Magn Reson 85: 620.

    Google Scholar 

  114. Sharman KC, McClurkin GD (1989) Proc ICASSP, p 2716.

    Google Scholar 

  115. Wu XL, Freeman R (1989) J Magn Reson 85: 414.

    Google Scholar 

  116. Dennis JE (1984) Proc IEEE 72: 1765.

    Article  Google Scholar 

  117. Wolfe CM, Rust BW, Dunn JH, Brown IE (1987) Interactive nonlinear least squares program. National Bureau of Standards Report No NBS/TN-1238.

    Google Scholar 

  118. Dennis Jr JE, Schnabel RB (1983) Numerical methods for unconstrained optimisation and nonlinear equations. Prentice Hall, Englewood Cliffs.

    Google Scholar 

  119. Fraley C (1989) SIAM J Sci Stat Comput 10: 515.

    Article  Google Scholar 

  120. Box GEP, Tiao G (1973) Bayesian inference in statistical analysis. Addison-Wesley, Reading.

    Google Scholar 

  121. Lee PM (1989) Bayesian statistics: an introduction. Oxford Univ Press, New York.

    Google Scholar 

  122. Bretthorst GL (1990) J Magn Reson 88: 533.

    CAS  Google Scholar 

  123. Bretthorst GL (1990) J Magn Reson 88: 552.

    CAS  Google Scholar 

  124. Bretthorst GL (1990) J Magn Reson 88: 571.

    CAS  Google Scholar 

  125. Reilly PJ, Wong KM, Reilly PM (1989) Proc ICASSP, p 2609.

    Google Scholar 

  126. Dijk JE van, Beer R de, Ormondt D van, Bovée WMMJ (1990) Proc SMRM, p 1326.

    Google Scholar 

  127. Montigny F, Brondeau J, Canet D (1990) Chem Phys Lett 170: 175.

    Article  CAS  Google Scholar 

  128. Graaf AA de, Bovée WMMJ (1990) Magn Reson Med 15: 305.

    Article  Google Scholar 

  129. Heineman FW, Berkowitz BA, Balaban RS (1990) Magn Reson Med 13: 490.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Physics Laboratory, Delft University of Technology, P.O. BOX 5046, 2600 GA, Delft, The Netherlands

    R. de Beer & D. van Ormondt

Authors
  1. R. de Beer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. van Ormondt
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Preclinical Research 386/206, Sandoz Pharma Ltd., Ch-4002, Basel, Switzerland

    M. Rudin

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag, Berlin Heidelberg

About this chapter

Cite this chapter

de Beer, R., van Ormondt, D. (1992). Analysis of NMR Data Using Time Domain Fitting Procedures. In: Rudin, M. (eds) In-Vivo Magnetic Resonance Spectroscopy I: Probeheads and Radiofrequency Pulses Spectrum Analysis. NMR, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45697-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-45697-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45699-2

  • Online ISBN: 978-3-642-45697-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation