Skip to main content
. Author manuscript; available in PMC: 2011 Nov 1.
Published in final edited form as: Prog Nucl Magn Reson Spectrosc. 2010 Jul 30;57(4):381–419. doi: 10.1016/j.pnmrs.2010.07.001

Figure 31. NMR Spectra Computed from Radial Samples with the Polar Fourier Transform.

Figure 31

(a) C/N plane at HN=6.28 ppm from the HNCO spectrum of ubiquitin recorded on a 500 MHz spectrometer, as calculated from radial spokes at 4.5°, 45° and 85.5° by a hypercomplex Fourier transform. Note that the hypercomplex transform supplied with data for the +tx +ty quadrant automatically produces the symmetric ridges one would expect using a complex transform with data for both the +tx +ty and +tx −ty quadrants. (b) C/N plane at HN=8.54 ppm from the HNCO spectrum of ubiquitin recorded at 600 MHz, calculated in subpanel (1) from 18 radial spokes with artificially added noise, in (2) from 18 radial spokes with the natural experimental noise, and in (3) from a subset of 6 out of the 18 radial spokes, in all cases by a hypercomplex transform. Panel (a) is reprinted from [14]. Panel (b) is reprinted, with permission, from [75] (© 2006 Springer).