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. Author manuscript; available in PMC: 2013 Mar 15.
Published in final edited form as: J Phys Chem C Nanomater Interfaces. 2012 Feb 21;116(10):6320–6331. doi: 10.1021/jp2125312

Figure 2. Comparison of conventional denoising and singular value decomposition denoising methods.

Figure 2

Noise suppression is demonstrated on a pair of 13C{31P} REDOR NMR spectra of 77 year old human bone recorded with 10.2 ms dephasing, and processed by (A) simple Fourier Transform, (B) conventional exponential multiplication (40 Hz line broadening) followed by Fourier Transform, and (C) singular value decomposition (SVD) denoising followed by Fourier Transform (with no line broadening). The small grey spectrum below each pair represents a subtraction of the two spectra to help visualize the difference in intensity due to 13C{31P} dephasing. The inset (D) demonstrates the fidelity of the SVD denoised spectrum (blue) to the original 13C{31P} REDOR spectrum (black) recorded without 31P recoupling pulses.