Denoising NMR time-domain signal by singular-value decomposition accelerated by graphics processing units

作者：Man Pascal^*; Bonhomme Christian; Babonneau Florence

来源：Solid State Nuclear Magnetic Resonance, 2014, 61-62: 28-34.

DOI：10.1016/j.ssnmr.2014.05.001

• Denoising
• SVD
• Hankel matrix
• Si-29 MAS NMR
• QCPMG
• Hybrid materials
• Powder pattern

We present a post-processing method that decreases the NMR spectrum noise without line shape distortion. As a result the signal-to-noise (SIN) ratio of a spectrum increases. This method is called Cadzow enhancement procedure that is based on the singular-value decomposition of time-domain signal. We also provide software whose execution duration is a few seconds for typical data when it is executed in modern graphic-processing unit. We tested this procedure not only on low sensitive nucleus Si-29 in hybrid materials but also on low gyromagnetic ratio, quadrupole nucleus Sr-87 in reference sample Sr(NO3)(2). Improving the spectrum S/N ratio facilitates the determination of T/Q ratio of hybrid materials. It is also applicable to simulated spectrum, resulting shorter simulation duration for powder averaging. An estimation of the number of singular values needed for denoising is also provided.

• 出版日期2014-9