Automated spectral analysis II: Application of wavelet shrinkage for characterization of non‐parameterized signals

An iterative method for differentiating between known resonances and uncharacterized baseline contributions in MR spectra is described. The method alternates parametric modeling, using a priori knowledge of spectral parameters, with non‐parametric characterization of remaining signal components, using wavelet shrinkage and denoising. Rapid convergence of the iterative method is demonstrated, and examples are shown for analysis of simulated data and an in vivo 1H spectrum from the brain. Results show good separation between metabolite signals and strong baseline contributions.

[1]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .

[2]  Philip E. Gill,et al.  Practical optimization , 1981 .

[3]  J. Rissanen A UNIVERSAL PRIOR FOR INTEGERS AND ESTIMATION BY MINIMUM DESCRIPTION LENGTH , 1983 .

[4]  C. Raphael Analysis of phosphorus magnetic resonance spectra using hidden markov models , 1994 .

[5]  K. Behar,et al.  Short echo time proton magnetic resonance spectroscopic imaging of macromolecule and metabolite signal intensities in the human brain , 1996, Magnetic resonance in medicine.

[6]  B J Soher,et al.  Automated spectral analysis I: Formation of a priori information by spectral simulation , 1998, Magnetic resonance in medicine.

[7]  Truman R. Brown,et al.  A method for automatic quantification of one-dimensional spectra with low signal-to-noise ratio , 1987 .

[8]  W. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[9]  V. Govindaraju,et al.  Automated spectral analysis III: Application to in Vivo proton MR Spectroscopy and spectroscopic imaging , 1998, Magnetic resonance in medicine.

[10]  Richard E. Blahut,et al.  Principles and practice of information theory , 1987 .

[11]  S. Provencher Estimation of metabolite concentrations from localized in vivo proton NMR spectra , 1993, Magnetic resonance in medicine.

[12]  S K Hilal,et al.  Field inhomogeneity correction and data processing for spectroscopic imaging , 1985, Magnetic resonance in medicine.

[13]  Grivet Accurate Numerical Approximation to the Gauss-Lorentz Lineshape , 1997, Journal of magnetic resonance.

[14]  H. Akaike A new look at the statistical model identification , 1974 .

[15]  K. Behar,et al.  Analysis of macromolecule resonances in 1H NMR spectra of human brain , 1994, Magnetic resonance in medicine.