Skip to main content
Log in

Detection of slowly varying spoofing using weighted Kalman gain in GNSS/INS tightly coupled systems

  • Original Article
  • Published:
GPS Solutions Aims and scope Submit manuscript

Abstract

Global Navigation Satellite System (GNSS) is vulnerable to intentional spoofing attacks, particularly those that vary slowly over time. These attacks aim to deceive receivers by introducing subtle changes to the received signals, making them hard to detect using traditional methods. To tackle this challenge, we propose an improved slowly varying spoofing detector that uses a weighted Kalman gain to enhance the sensitivity of the extended Kalman filter (EKF) to slowly varying spoofing. Our detector addresses the limitations of the conventional EKF, which does not account for the impact of spoofing on the innovation offsets, leading to rapid induction of the filtering results. By weighting the EKF gain based on the normalized distance between the test statistic of each satellite and the detection threshold, our proposed detector mitigates harmful satellite innovations and accumulates the innovation offsets caused by spoofing. Simulation and experimental results demonstrate that the proposed detector achieves a higher detection probability and sensitivity compared to existing methods. Our proposed detector offers a novel approach to detect slowly varying spoofing and represents a significant contribution to the field of GNSS security.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Data availability

All data generated or analyzed during this study are included in the supplementary information files.

Abbreviations

AVP:

Attitude, velocity, and position

DOF:

Degree of freedom

ECEF:

Earth-centered, earth-fixed

EKF:

Extended Kalman filter

FAR:

False alarm rate

GNSS:

Global Navigation Satellite System

GPS:

Global Positioning System

INR:

Interference-to-noise ratio

INS:

Inertial navigation sensor

PDF:

Probability density function

PPS:

Pulse per second

ROC:

Receiver operating characteristic

TCS:

Tightly couple system

References

Download references

Acknowledgements

This study was supported by the Fundamental Research of Science and Technology on Complex Electronic System Simulation Laboratory (Grant No. 614201004012103 and 614201005022103).

Author information

Authors and Affiliations

Authors

Contributions

Conceptualization was done by XJ; methodology was done by XJ and SL; simulations and experiments were carried out by XJ; writing—original draft preparation was done by XJ; writing—review and editing was done by XZ; funding acquisition was done by SZ; supervision was done by XZ.

Corresponding author

Correspondence to Xiaoyu Zhang.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (ZIP 1232 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jin, X., Zhang, X., Li, S. et al. Detection of slowly varying spoofing using weighted Kalman gain in GNSS/INS tightly coupled systems. GPS Solut 28, 54 (2024). https://doi.org/10.1007/s10291-023-01594-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10291-023-01594-3

Keywords

Navigation