A High-Precision Frequency Measurement Algorithm for FID Signal of Proton Magnetometer

Dong, Haobin; Huan, Liu; Ge, Jianhua; Yuan, Zhiwen; Zhao, Zhizhuo

doi:10.1109/tim.2016.2516299

Cited by 56 publications

(21 citation statements)

References 16 publications

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“…Compared with (21), the error of the proposed method is about 2 3 / 2 N − times smaller than the MCFM method for the frequency measurement of the FID signal, and is about 2 30 / 2 N − times smaller than the MPM method described in [24].…”

Section: B Error Analysismentioning

confidence: 79%

“…Where R f ∆ is the error caused by additional random noise, and SNRP stands for the peak signal-noise-ratio, which has been discussed in [24] in detail. Usually, the value of SNRP decays from 50 dB to 30 dB if the quality of the FID signal is good enough, correspondingly, R f ∆ is about 10 mHz.…”

Section: A Least Squares Fittingmentioning

confidence: 99%

“…A high-order Prony Method is presented in [23] to estimate the FID signal of NMR, but the time consumption is even higher than for the common Prony method. Dong [24] describes a delay multi-channel parallel measurement (MPM) algorithm for increasing the Overhauser magnetometer precision, and the precision is improved because of average calculation adopted. However, only rising edge of square wave is captured, the rest of rising edge and all falling edge of the square wave are missed.…”

Section: Introductionmentioning

confidence: 99%

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A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision

Tan

et al. 2020

Measurement Science Review

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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.

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Section: B Error Analysismentioning

confidence: 79%

Section: A Least Squares Fittingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Linearized Model of FID Signal for Increasing Proton Magnetometer Precision

Tan

et al. 2020

Measurement Science Review

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“…Comparison to previous works. [15] [ 16] This work Precision (Hz) > 0.07/n * < 0.050 < 0.0042 Standard deviation (Hz) -< 0.023 < 0.00056 * Theoretical resolution when measured signal is 70 kHz and standard signal is 10 MHz. Table II gives a brief comparison of several reported works.…”

Section: Table IImentioning

confidence: 98%

“…The equal precision frequency measurement method can achieve the equal precision in the entire frequency range, independent of signal frequency. Based on it, several ( ) identical equal precision frequency measurement units are implemented on FPGA to improve the accuracy of frequency measurement to 1/ of the original method [15]. A method using FPGA and TDC for high precision frequency measurement was first proposed in [16] which further improve the accuracy of frequency measurement by several orders of magnitude.…”

Section: Introductionmentioning

confidence: 99%

An improved frequency meter for atomic magnetometer based on accurate time measurement

Jin

Tang

Deng

et al. 2019

IEICE Electron. Express

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An improved frequency measurement method using FPGA and TDC (time-to-digital converter) is proposed, and its error analysis is carried out. Instead of measuring more precise counting values of equal-precision frequency measurement, this method obtains the converted frequency indirectly by accurately measuring the time of multiple measured signal cycles. It significantly improves the accuracy of the frequency meter in atomic magnetometer. The method is capable of eliminating the ±1 error of reference signal counting of equal precision frequency measurement method, as well as avoiding the limitation that the measurement range of TDC cannot reach 0. With this method, a prototype of the frequency meter is implemented with very small size. Tests show that the prototype achieved 0.0042 Hz precision and 0.00056 Hz standard deviation in the frequency range of 70 kHz to 350 kHz at the output rate of 10 Hz.

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