NMR Spectrum Acquisition Method Based on Fourier Transform NMR Spectrum Superposition Peak Shape
A Fourier transform and nuclear magnetic resonance spectrum technology, which is applied in the field of nuclear magnetic resonance spectrum acquisition based on Fourier transform nuclear magnetic resonance spectrum superposition peak shape, can solve the problem that the resolution of nuclear magnetic resonance cannot be substantially improved, the equipment is bulky and cumbersome, etc. problem, to achieve the effect of shortening sampling time, low cost and high efficiency
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Embodiment 1
[0146] like Figure 8 Shown is the 300 MHz NMR free induction decay real channel signal of ethylbenzene, Figure 9 is the virtual channel signal. Figure 8 and Figure 9 The free induction decay real signal of the NMR spectrum of ethylbenzene obtained by the existing Fourier transform method is shown in Figure 10 , it has three sets of proton spin coupling characteristic peaks: 1.1 to 1.2ppm is the methyl peak, 2.5 to 2.6ppm is the methylene peak, 7.1 to 7.2ppm is the phenyl peak, and 1.466ppm is the solvent impurity peak.
[0147] Further, in this embodiment, according to the absorption peak shape equation 10 of the Fourier transform superimposition Figure 8 and Figure 9 The original signal is superimposed and transformed. In order to ensure the NMR frequency peaks in the entire measurement range, all sampling frequency components ω 0 Doing the superposition operation is equivalent to taking N times the time to complete the superposition of N components.
[0148] Th...
Embodiment 2
[0151] According to the existing Fourier transform theory, the signal f(t) composed of harmonics needs to be discretely sampled, and the number of samples is set to N, and a group of discrete signal points f(0), f(1), f(2) are intercepted ),···,f(k),···,f(N-1). Discretized Fourier transform results in N data F(0), F(1), F(2),··F(k),···,F(N-1), expressed in matrix form:
[0152]
[0153] In the formula, W=exp(-i2π / N) of the N×N Fourier transform matrix.
[0154] Add a diagonal superposition matrix to the original Fourier transform matrix to get:
[0155]
[0156] Further, it is possible to determine whether the diagonal matrix elements are 2 or 0, or a decimal close to 0, column by column, or within the preset resolution condition ΔN area. The NMR spectrum sets the number of samples based on the computer binary, so the diagonal of the matrix can be sorted according to 2...2, 0...0, 2...2, 0...0, ... to perform left superposition. The diagonal of the matrix can also be ...
Embodiment 3
[0160] For the two symmetrical superposition functions, see Equation 5.1 and Equation 5.2, the front and rear left (right) superposition and right (left) superposition can be performed synchronously on adjacent harmonic signals, such as Figure 15 As shown by the dotted line, two adjacent overlapping peaks can achieve the resolution equivalent to four times the Fourier transform, and the solid line shows the effect of superposition transform.
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