The C program harminv-1.3.1 and the two Java applications harmonic_inversion.jar and nmrsvd2.jar are already described in harmonic inversion for improving spectrum resolution

We extend their applications to NMR probe head dead time correction.

(A) ⁷⁹Br MAS spectrum baseline correction with harmonic inversion

⁷⁹Br MAS FID signal and its spectrum are observed for setting the magic angle of the NMR probe.

1. D. L. Bryce, G. M. Bernard, M. Gee, M. D. Lumsden, K. Eichele, and R. Wasylishen
   Practical aspects of modern routine solid-state multinuclear magnetic resonance spectroscopy: one-dimensional experiments,
   Can. J. Anal. Sci. Spectrosc. 46, 46-82 (2001).
2. J. S. Frye and G. E. Maciel
   Setting the magic angle using a quadrupolar nuclide,
   J. Magn. Reson. 48, 125-131 (1982).
   Abstract

The acquisition parameters for one-pulse MAS experiment on KBr powder: 10-kHz rotor spinning speed; SWH = 500 kHz; dead time DE = 0.01 msec; DW (TopSpin definition) = 0.001 msec; TD (TopSpin definition) = 16384; TDeff = 16248; qsim AQ_mode. (Its TopSpin file 20.zip)

Figure 1: ⁷⁹Br MAS spectrum baseline is distorted due to the DE = 0.01 msec dead time of NMR probe head, duration between the end of the RF excitation pulse and the beginning of the FID signal sampling.

We decrease the noise of the FID signal with SVD (singular value decomposition) method implemented in the Java application nmrsvd2.jar, using 1500 complex points and 26 singular values. As a result the FID is denoised but truncated.

Figure 2: Fourier transform of denoised ⁷⁹Br MAS FID. Due to truncation of the FID by SVD treatment, outer spinning sidebands are missing.

We submit the truncated, denoised FID to the C program harminv-1.3.1.

Figure 3: Result provided by harminv-1.3.1 on truncated, denoised ⁷⁹Br MAS FID.

We simulate the FID with data provided by harminv-1.3.1.

Figure 4: Fourier transform of simulated ⁷⁹Br MAS FID from truncated, denoised one. Outer missing spinning sidebands are not recovered

We simulate a new FID with previous data provided by harminv-1.3.1, including 0.01 msec (or five complex points) dead time correction.

Figure 5: Harmonic_inversion.jar panel in dead time correction mode.

After dead time correction, the spectrum has a flat baseline.

Figure 6: Fourier transform of simulated ⁷⁹Br MAS FID after dead time correction.

(B) ⁷⁹Br MAS spectrum baseline correction with backward linear prediction

We apply backward linear prediction on the one-pulse MAS FID simulated with harminv-1.3.1, whose spectrum is shown in Figure 4.

Figure 7: Backward linear prediction parameters applied to simulated ⁷⁹Br MAS FID for dead time correction.

Figure 8: Fourier transform of simulated ⁷⁹Br MAS FID after dead time correction with backward linear prediction.