A Noise Filtering Method for Full-Wave NMR Signals Based on Double Singular Value Decomposition
A singular value decomposition and nuclear magnetic resonance technology, which is applied in electron magnetic resonance/nuclear magnetic resonance detection, electric/magnetic exploration, acoustic re-radiation, etc., can solve problems such as effective extraction of MRS signals, and save manpower and material resources. The effect of improving timeliness
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Embodiment 1
[0086] This embodiment is a simulation experiment of the method of the present invention carried out under the MATLAB7.0 programming environment.
[0087] The simulation algorithm of the full-wave NMR signal noise filtering method based on double singular value decomposition, refer to the attached figure 1 , including the following steps:
[0088] Step (1): Use formula (1) to construct the initial amplitude e 0 =150nV, relaxation time T 2 * = 200ms, Larmor frequency f = 2325Hz and phase For the ideal MRS signal, add -2dB Gaussian random noise and 6 power frequency harmonics with adjustable amplitude between 2200Hz and 2450Hz to the signal. At this time, the MRS signal is completely submerged in the noise and constitutes the observation data. The signal-to-noise ratio is -10.5271dB, such as figure 2 As shown in (a), Fig. 2(b) is its corresponding frequency spectrum.
[0089] Step (2): Carry out band-rejection filtering centered on the Larmor frequency on the observed dat...
Embodiment 2
[0095] This example is carried out in the Geological Palace of Jilin University in Changchun City. The MRS signal acquisition instrument used in this test is the "Nuclear Magnetic Resonance Array Receiver (JLMRS-ARRAY)" independently developed by Jilin University. The signal source is set to a frequency equal to 2326Hz. A full-wave MRS signal with an amplitude of 0.5V and a relaxation time of 180ms is transmitted through the transmitting coil. Keep a certain distance between the transmitting coil and the receiving coil to ensure that the receiving coil can couple MRS signals and environmental noise. as attached figure 1 As shown, the full-wave NMR signal noise filtering method based on double singular value decomposition includes the following steps:
[0096] Step (1): Use the ground nuclear magnetic resonance groundwater detection instrument to collect a set of observation MRS noise-containing data, SNR=-11.5324dB, such as Figure 6 (a) is the time-domain diagram of the obs...
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