Fast Removal of Residual Water in Proton Spectra |
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| Authors: | Leentje Vanhamme Ricardo D Fierro Sabine Van Huffel Ron de Beer |
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| Institution: | aDepartment of Electrical Engineering (ESAT), Katholieke Universiteit Leuven, Kard. Mercierlaan 94, 3001, Leuven, Belgium;bDepartment of Mathematics, California State University San Marcos, San Marcos, California;cDepartment of Applied Physics, University of Technology of Delft, The Netherlands |
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| Abstract: | Quantification of metabolites in1H spectra is difficult because of the presence of an unwanted water signal. Preprocessing, or removing the water contribution of a1H spectrum, in the time domain is usually done using the state-space approach HSVD. HSVD removes the residual water and its side lobes, thereby reducing the baseline for the metabolites of interest and allowing subsequent data analysis using more sophisticated nonlinear least squares algorithms. However, the HSVD algorithm is computationally expensive because it estimates the signal subspace using the singular value decomposition (SVD). We show here that replacing the SVD by a low-rank revealing decomposition speeds up the computations without affecting the accuracy of the wanted parameter estimates. |
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| Keywords: | rank-revealing orthogonal decomposition singular value decomposition water removal exponential data modeling MRS data quantification |
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