Frequency noise suppression of nuclear magnetic resonance inertial sensor based on transfer function

The frequency noise in NMRG will lead to measurement errors and reducing the accuracy and sensitivity of the system. This paper, through noise transfer analysis, derived a noise transfer model for the detuned NMRG xenon frequency detection system that takes into account both modulation intensity and modulation frequency. The theoretical calculation results were highly consistent with the simulation data based on the Bloch equation,, verifying the correctness of the proposed theoretical formula. Additionally, we analyzed the Allan variance characteristics of frequency noise under different modulation intensities. The above theoretical formula derivation and analysis results have significant guiding significance for the practical application and future development of NMRG. These research achievements have laid a solid theoretical foundation for further optimizing the performance of NMRG and improving its reliability in practical applications.