A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision
A linearized model of frequency measurement for the Free Induction Decay (FID) signal is proposed to increase the Proton Magnetometer (PM) precision. First, the nonlinear model of frequency measurement is set up according to the characteristic of the FID signal. Then, according to the error analysis...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-06-01
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| Series: | Measurement Science Review |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/msr-2020-0014 |
| _version_ | 1818733553323606016 |
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| author | Tan Chao Fu Ruijie Wu Chenguang Li Xinglin |
| author_facet | Tan Chao Fu Ruijie Wu Chenguang Li Xinglin |
| author_sort | Tan Chao |
| collection | DOAJ |
| description | A linearized model of frequency measurement for the Free Induction Decay (FID) signal is proposed to increase the Proton Magnetometer (PM) precision. First, the nonlinear model of frequency measurement is set up according to the characteristic of the FID signal. Then, according to the error analysis of the MCFM method, the model is linearized on the condition of precision requirement. Furthermore, to reduce the nonlinear error caused by approximate treatment and the trigger time error caused by the random noise, the Least Squares (LS) method is adopted to estimate the slope of the linearized model, and the frequency to be measured is the inverse of the slope. Finally, a PM Prototype is made to verify the effectiveness of the proposed method. Experimental results show that the precision of frequency measurement is obviously increased if the proposed method is adopted for the noised sine signal. Moreover, the RMSD and the NPSD of magnetic-field measurement are about 0.13 nT and 80 pT/Hz1/2, respectively if the proposed method is adopted by PM, which is better than the comparison method. |
| first_indexed | 2024-12-17T23:51:18Z |
| format | Article |
| id | doaj.art-c5c12d0a5dbe4a809c2648c3875bf754 |
| institution | Directory Open Access Journal |
| issn | 1335-8871 |
| language | English |
| last_indexed | 2024-12-17T23:51:18Z |
| publishDate | 2020-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Measurement Science Review |
| spelling | doaj.art-c5c12d0a5dbe4a809c2648c3875bf7542022-12-21T21:28:12ZengSciendoMeasurement Science Review1335-88712020-06-0120311512510.2478/msr-2020-0014msr-2020-0014A Linearized Model of FID Signal for Increasing Proton Magnetometer PrecisionTan Chao0Fu Ruijie1Wu Chenguang2Li Xinglin3College of Electrical Engineering & New Energy, China Three Gorges University, Yichang443002, ChinaCollege of Electrical Engineering & New Energy, China Three Gorges University, Yichang443002, ChinaCollege of Electrical Engineering & New Energy, China Three Gorges University, Yichang443002, ChinaCollege of Electrical Engineering & New Energy, China Three Gorges University, Yichang443002, ChinaA linearized model of frequency measurement for the Free Induction Decay (FID) signal is proposed to increase the Proton Magnetometer (PM) precision. First, the nonlinear model of frequency measurement is set up according to the characteristic of the FID signal. Then, according to the error analysis of the MCFM method, the model is linearized on the condition of precision requirement. Furthermore, to reduce the nonlinear error caused by approximate treatment and the trigger time error caused by the random noise, the Least Squares (LS) method is adopted to estimate the slope of the linearized model, and the frequency to be measured is the inverse of the slope. Finally, a PM Prototype is made to verify the effectiveness of the proposed method. Experimental results show that the precision of frequency measurement is obviously increased if the proposed method is adopted for the noised sine signal. Moreover, the RMSD and the NPSD of magnetic-field measurement are about 0.13 nT and 80 pT/Hz1/2, respectively if the proposed method is adopted by PM, which is better than the comparison method.https://doi.org/10.2478/msr-2020-0014proton magnetometerfid signalfrequency measurementtrigger time errorleast square |
| spellingShingle | Tan Chao Fu Ruijie Wu Chenguang Li Xinglin A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision Measurement Science Review proton magnetometer fid signal frequency measurement trigger time error least square |
| title | A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision |
| title_full | A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision |
| title_fullStr | A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision |
| title_full_unstemmed | A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision |
| title_short | A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision |
| title_sort | linearized model of fid signal for increasing proton magnetometer precision |
| topic | proton magnetometer fid signal frequency measurement trigger time error least square |
| url | https://doi.org/10.2478/msr-2020-0014 |
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