Effects of zero-filling and apodization on spectral integrals in discrete Fourier-transform spectroscopy of noisy data

Bartholdi, 1973, Fourier spectroscopy and the causality principle, J. Magn. Reson., 11, 9 Lindon, 1980, Digitisation and data processing in Fourier transform NMR, Prog. NMR Spectrosc., 14, 27, 10.1016/0079-6565(80)80002-1 Zwingmann, 2004, Brain energy metabolism in a sub-acute rat model of manganese neurotoxicity: an ex vivo nuclear magnetic resonance study using [1-13C] glucose, Neurotoxicology, 25, 573, 10.1016/j.neuro.2003.08.002 Henry, 2003, Toward dynamic isotopomer analysis in the rat brain in vivo: automatic quantitation of 13C NMR spectra using LCModel, NMR Biomed., 16, 400, 10.1002/nbm.840 Golay, 2002, Scan time reduction in proton magnetic resonance spectroscopic imaging of the human brain, Magn. Reson. Med., 47, 384, 10.1002/mrm.10038 A. Gambini, S.A. Fatemi, T.O. Crawford, E.H. Kossoff, A. Horska, P.B. Barker, Acute disseminated encephalomyelitis: evaluation with proton MR spectroscopic imaging, In: Proc. 13th Annual Meeting of ISMRM, Miami Beach, FL, 2005, p. 140. Thomas, 2003, Evaluation of two-dimensional L-COSY and JPRESS using a 3 T MRI scanner: from phantoms to human brain in vivo, NMR Biomed., 16, 245, 10.1002/nbm.825 Weiss, 1983, Accuracy and precision in the estimation of peak areas and NOE factors, J. Magn. Reson., 55, 397 Herring, 1985, Integration errors in digitized magnetic resonance spectra, J. Magn. Reson., 62, 19 Weiss, 1987, Accuracy and precision in the estimation of peak areas and NOE factors. II. the effects of apodization, J. Magn. Reson., 71, 97 McLeod, 1989, Systematic errors in the discrete integration of FT NMR spectra, J. Magn. Reson., 84, 490 Rischel, 1995, Fundamentals of peak integration, J. Magn. Reson. A, 116, 139, 10.1006/jmra.1995.0016 Nadjari, 1991, Precision of integrals in quantitative NMR, J. Magn. Reson., 91, 353 Nadjari, 1992, Precision of volume integrals in two-dimensional NMR, J. Magn. Reson., 98, 259 Bourg, 1998, Influence of noise on peak integrals obtained by direct summation, J. Magn. Reson., 134, 184, 10.1006/jmre.1998.1500 A. Ebel, Schnelle 1H NMR-spektroskopische Bildgebung mittels angepaßter Phasenkodierung der chemischen Verschiebung (Ph.D. thesis), University of Bremen, Bremen, and Shaker Verlag GmbH, Aachen, 1999. Otting, 1986, Origin of t1 and t2 ridges in 2D NMR spectra and procedures for suppression, J. Magn. Reson., 66, 187 Durett, 1991 Ernst, 1965, Sensitivity enhancement in magnetic resonance. I. Analysis of the method of time averaging, Rev. Sci. Instr., 36, 1689, 10.1063/1.1719443 Haacke, 1999 Maudsley, 1994, Reduced phase encoding in spectroscopic imaging, Magn. Reson. Med., 31, 645, 10.1002/mrm.1910310610 Hugg, 1996, Comparison of k-space sampling schemes for multidimensional MR spectroscopic imaging, Magn. Reson. Med., 36, 469, 10.1002/mrm.1910360321 Adalsteinsson, 1998, Volumetric spectroscopic imaging with spiral based k-space trajectories, Magn. Reson. Med., 39, 889, 10.1002/mrm.1910390606 Liang, 1990, Time-domain (interferogram) and frequency-domain (absorption-mode and magnitude-mode) noise and precision in Fourier transform spectrometry, Appl. Spectrosc., 44, 766, 10.1366/0003702904087145