The Continuous Wavelet Transform, an Analysis Tool for NMR Spectroscopy

✍ Scribed by D. Barache; J-P. Antoine; J-M. Dereppe

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 325 KB
• Volume: 128
• Category: Article
• ISSN: 1090-7807
• DOI: 10.1006/jmre.1997.1214

✦ Synopsis

The discrete wavelet transform has been used in NMR spectrosin oil prospection), but by now it has pervaded many sectors copy by several authors. We show here that the continuous wavelet of physics, mathematics, and engineering. It has been applied transform (CWT) is also an efficient tool in that context. After in particular to the analysis of spectral lines in general (3) reviewing briefly the analysis of spectral lines with the CWT, we and its application to NMR spectroscopy was also suggested discuss two applications specific to NMR, namely the removal of and tested in (3, 4). For a general survey of the wavelet a large unwanted line and the rephasing of a signal perturbed by method, we refer to (5,6) or the elementary review (7). eddy currents. More details on the CWT are given in two appen-In a recent paper, Neue (8) has emphasized the interest dixes. ᭧ 1997 Academic Press of the wavelet transform in dynamic NMR spectroscopy. More precisely, he proposes to use the discrete wavelet transform (DWT) to extract the dynamical behavior of a NMR where the parameters of translation, b √ ‫,ޒ‬ and dilation, a