| Zugriffsnummer | 55995 |
| Dokumenttyp | Zeitschriftenartikel |
| Peer Review | mit Peer Review |
| Sprache | Englisch |
| Titel | Extended Kalman smoothing of free spin precession signals for accurate magnetic field determination |
| Autor(in); Institution |
Mertenskötter, L.; Weierstrass-Institut für Angewandte Analysis und Stochastik (WIAS), Berlin, GERMANY
Riebesehl, J.; Department of Electrical and Photonics Engineering, Technical University of Denmark (DTU), DENMARK
Stannat, W.; Institut für Mathematik, Technische Universität Berlin, Berlin, GERMANY
|
| Quelle/Jahr | New Journal of Physics: 28 (2026), 3, 033701-1 - 033701-10 |
| Availability | [online only] |
| ISSN | 1367-2630 (online) |
| DOI | |
| URL | |
| Verlag | Bristol: IOP Publishing |
| Freie Schlagworte | Kalman filter ; rauch-tung-striebel smoother ; magnetometry ; 3-helium free spin precession ; metastability exchange optical pumping (MEOP) ; optically pumped magnetometer (OPM) |
| Zusammenfassung | We present a novel application of the extended Kalman smoother (EKS) for highly accurate frequency estimation from free spin precession signals of polarized ³He. Traditional approaches often rely on nonlinear least-squares fitting, which can suffer from limited robustness to signal decay and time-dependent frequency shifts. By contrast, our EKS-based method captures both amplitude and frequency variations with minimal tuning, adapting automatically to fluctuations via an expectation-maximization algorithm. We benchmark the technique in extensive simulations that emulate realistic spin precession signals with exponentially decaying amplitudes and noisy frequency drifts. Compared to least-squares fits with fixed block lengths, EKS systematically reduces estimation errors, particularly when frequencies evolve or signal-to-noise ratios are moderate to high. We further validate these findings with experimental data from a free-precession decay ³He magnetometer. Our results indicate that EKS-based analysis can substantially improve accuracy in nuclear magnetic resonance-based magnetometry, where accurate frequency estimation underpins absolute field determinations. This versatile approach promises to enhance the stability and accuracy of future high-precision measurements. |
| Kostenfreier Zugang | Open Access Gold |
| Rechteinformation | CC BY 4.0 ; Creative Commons Attribution 4.0 License |
| Themenbereich der Metrologie | Metrologie in der Medizin |
| Förderinformationen (1) |
Förderername: SPOC Center
Titel der Förderung: Grant No. DNRF 123 |
| Förderinformationen (2) |
Förderername: Deutsche Forschungsgemeinschaft
Förderer ID: 0000 0001 2096 9829 Förderer ID Typ: ISNI Förderprogramm: Germany’s Excellence Strategy—EXC2046: MATH+ (project AA2-13) |
| Förderinformationen (3) |
Förderername: Villum Fonden
Förderer ID: 0000 0004 5905 9648 Förderer ID Typ: ISNI Förderprogramm: VI-POPCOM 54486 |
Zitierung
Mertenskötter, L., Riebesehl, J., Pohlandt, W., Stannat, W., & Kilian, W. (2026). Extended Kalman smoothing of free spin precession signals for accurate magnetic field determination. New Journal of Physics, 28(3), 033701-1–033701-10. https://doi.org/10.1088/1367-2630/ae4fe9