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Chapitre D'ouvrage Année : 2007

High-Resolution MR Spectroscopy Via Adaptive Sub-Band Decomposition

Résumé

For several years, the possibility of using non-iterative high-resolution (HR) spectral estimators instead of Fourier transform (FT) has received considerable attention in the NMR literature. Different approaches have been proposed, including maximum entropy methods, linear prediction (LP) methods, and state space methods. When used in good conditions, all these HR estimators present several advantages over the FT. However, limitations of these methods appear when attempting to process measured signals made of numerous data samples (over 10,000) and/or containing a lot of resonances. As a reaction, last years, there was a renewed interest for parametric Frequency Selective (FS) approaches, a concept initially proposed in 1988 with the LP-ZOOM approach. Several new FS methods have been proposed which possess two features that make them efficient with high-complexity signals: high robustness against out-of-band interferences and low computational burden. The present work describes a fast, and almost automated time-data analysis method for NMR spectroscopy, based on an adaptive implementation of certain HR methods usable in spectral sub-bands. Originally designed as an improvement of the SVD-based High-Order Yule-Walker method in Sub-Bands, and intended to avoid the choice of the decimation factor and to reduce the computational complexity, the adaptive decomposition is achieved through successive decimation/estimation stages each followed by a test procedure to decide whether or not the process should continue. The test is based on a local spectral flatness measure of the estimation residuals.
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Dates et versions

hal-00156353 , version 1 (20-06-2007)
hal-00156353 , version 2 (24-07-2007)

Identifiants

  • HAL Id : hal-00156353 , version 2

Citer

Marc Tomczak, El-Hadi Djermoune, Pierre Mutzenhardt. High-Resolution MR Spectroscopy Via Adaptive Sub-Band Decomposition. Bernard C. Castleman. New Research on Magnetic Resonance, Novascience Publishers, pp.241-289, 2007. ⟨hal-00156353v2⟩
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