Mathematical modelling of unmanned aerial vehicle based wideband spectrum sensing

Authors

DOI:

https://doi.org/10.30837/rt.2024.4.219.09

Keywords:

mathematical model, unmanned aerial vehicle, spectrum sensing, signal source, signal strength

Abstract

The number of low-power radio electronic devices is constantly increasing in modern information society. The detection of such radio frequency sources (RFS), their localization and parameters estimation using stationary radio monitoring equipment, especially in cities, is ineffective. By placing a sensor on an unmanned aerial vehicle (UAV), it is possible to collect data about spatial, frequency and time parameters of RFS in a certain volume by flying around it and analyzing received signals. The absence or incompleteness of a priori information about the RFS and the radio wave propagation medium requires the creation of an appropriate mathematical model that will take into account the unknown parameters of RFS and the radio wave propagation medium, as well as the movement of radio sensor. The aim of the article is to optimize the process of analyzing the electromagnetic environment using a panoramic spectrum sensor placed on UAVs by developing a mathematical model of the received signal that takes into account the effects of radio wave propagation caused by UAVs’ movement. It was found that the change of received signal strength depends on distance between the transmitter and the receiver is determined by propagation losses, shadowing, fading due to multipath propagation and the non-isotropy of the directional patterns of the RFS. Processing received signal strength, taking into account the terrain and the location of other objects on the UAV flight trajectory, will allow us to approximately estimate the location of RFS provided that its position remains unchanged. An increase in the number of flights along different routes will increase the accuracy of estimating the coordinates of RFS. In result of the research, a mathematical model was obtained that describes the received signal strength under the influence of multi-scale fading and takes into account the scanning mode of the radio sensor, its movement, and unknown shape of the RFS antenna pattern. in modern information society, Proposals were made to separate fading components using low-pass filtering. This will make it possible to estimate the location of the RFS in the case of joint processing of the measured values of the received signal strength and the UAV flight trajectory.

References

Gul N., Kim S. M, Ali J, Kim J. UAV aided virtual cooperative spectrum sensing for cognitive radio networks // PLoS One. 2023. Vol. 5. 36 p. doi: 10.1371/journal.pone.0291077.

Liu X., Guan M., Zhang X., Ding H. Spectrum Sensing Optimization in an UAV-Based Cognitive Radio // IEEE Access. 2018. Vol. 6. Р. 44002–44009. doi: 10.1109/ACCESS.2018.2862424.

Yan L., Cai Y., Wei H. Unmanned aerial vehicle-assisted wideband cognitive radio network based on DDQN-SAC. EURASIP // Adv. Signal Process. 2024. Vol. 43. doi: 10.1186/s13634-024-01141-3

Abohashish S. M. M., Rizk R. Y., Elsedimy E. I. Trajectory optimization for UAV-assisted relay over 5G networks based on reinforcement learning framework // Wireless Com Network. 2023. 55. doi: 10.1186/s13638-023-02268-x

Min A. W., Shin K. G. Impact of Mobility on Spectrum Sensing in Cognitive Radio Networks // CoRoNet '09: Proceedings of the 2009 ACM workshop on Cognitive radio networks. Р. 13–18. doi: 10.1145/1614235.1614239

Shang B. et al. 3D Spectrum Sharing for Hybrid D2D and UAV Networks // IEEE Transactions on Communications. 2020. Vol. 68. No. 9. Р. 5375–5389. doi: 10.1109/TCOMM.2020.2997957

Shen F., Ding G., Wang Z., Wu Q. UAV-Based 3D Spectrum Sensing in Spectrum-Heterogeneous Networks // IEEE Transactions on Vehicular Technology. 2019. Vol. 68, No. 6. Р. 5711–5722. doi: 10.1109/TVT.2019.2909167

Chen H.-C. et al. Collaborative compressive spectrum sensing in a UAV environment // MILCOM 2011 Military Communications Conference, Baltimore, MD, USA, 2011. Р. 142–148. doi: 10.1109/MILCOM.2011.6127507.

Galkyn S., Ananiev V., Zadonskiy O., Kovshar V. Simulation Mathematical Modeling of the Electronic Environment for Evaluating of Radio Monitoring Systems Effectiveness // IEEE Ukrainian Microwave Week (UkrMW), Kharkiv, Ukraine, 2020. Р. 1099-1102. doi: 10.1109/UkrMW49653.2020.9252728.

Sova O. et al. Development of a method for assessment and forecasting of the radio electronic environment // EUREKA: Physics and Engineering. 2021. Vol. 4. Р. 30–40. doi: 10.21303/2461-4262.2021.001940

Xu W., Wang S., Yan S., He J. An Efficient Wideband Spectrum Sensing Algorithm for Unmanned Aerial Vehicle Communication Networks // IEEE Internet of Things Journal. 2019. Vol. 6, No. 2. Р. 1768–1780. doi: 10.1109/JIOT.2018.2882532.

Jasim M. A. et al. A Survey on Spectrum Management for Unmanned Aerial Vehicles (UAVs) // IEEE Access. 2022. Vol. 10. Р. 11443–11499. doi: 10.1109/ACCESS.2021.3138048.

Clark L. et al. PropEM-L: Radio Propagation Environment Modeling and Learning for Communication-Aware Multi-Robot Exploration // Robotics: Science and Systems. 2022. 8 p. doi: 10.48550/arXiv.2205.01267

Jiang K. et al. Distributed UAV Swarm Augmented Wideband Spectrum Sensing Using Nyquist Folding Receiver // Electrical Engineering and Systems Science 2023. doi: 10.48550/arXiv.2308.07077

Phillips C., Ton M., Sicker D.,Grunwald D. Practical radio environment mapping with geostatistics // IEEE International Symposium on Dynamic Spectrum Access Networks, Bellevue, WA, USA, 2012. Р. 422–433. doi: 10.1109/DYSPAN.2012.6478166.

He D., Liang G., Portilla J., Riesgo T. A novel method for radio propagation simulation based on automatic 3D environment reconstruction // 6th European Conference on Antennas and Propagation (EUCAP), Prague. Czech Republic, 2012. Р. 1445–1449. doi: 10.1109/EuCAP.2012.6206457.

Shen F. et al. 3D Compressed Spectrum Mapping With Sampling Locations Optimization in Spectrum-Heterogeneous Environment // IEEE Transactions on Wireless Communications. 2022. Vol. 21, No. 1. Р. 326–338. doi: 10.1109/TWC.2021.3095342

Shrestha R., Romero D., Chepuri S. P. Spectrum Surveying: Active Radio Map Estimation with Autonomous UAVs // Electrical Engineering and Systems Science. 2022. 14 р. doi: 10.48550/arXiv.2201.04125

Du X. et al. UAV-Assisted Three-Dimensional Spectrum Mapping Driven by Spectrum Data and Channel Model. Symmetry, 2021, Vol. 13(12). doi: 10.3390/sym13122308.

Lathi B. P., Ding Z. Modern digital and analog communication systems. 5th ed. Oxford University Press, 2019. 1025 p.

Ільченко М. Ю., Кравчук С. О. Телекомунікаційні системи : моногр. Київ : Наук. думка, 2017. 734 с.

Sklar B. Digital Communications // Fundamentals and Applications. 2nd ed. Prentice Hall, 2003. 953 p.

Recommendation ITU-R P.1406-2 (07/2015) Propagation effects relating to terrestrial land mobile and broadcasting services in the VHF and UHF bands P Series Radiowave propagation. 13 р.

Proakis J. G., Salehi M. Digital Communications. 5th ed. McGraw-Hill, 2008. 1170 p.

Rappaport T. S. Wireless Communications: Principles And Practice, 2/E. Pearson Education, 2010. 709 p.

Goldsmith А. Wireless communications. 2nd ed. Stanford University. 2020. 597 p.

Lu S., May J., Haines R. Efficient modeling of correlated shadow fading in dense wireless multi-hop networks. In Wireless Communications and Networking Conference (WCNC), 2014. Р. 311–316. doi: 10.1109/WCNC.2014.6951986

Karagiannis G. A., Panagopoulos A. D. Dynamic Lognormal Shadowing Framework for the Performance Evaluation of Next Generation Cellular Systems // Future Internet, MDPI. 2019. Vol. 11(5). Р. 1–18. doi:10.3390/fi11050106

Patzold M., Laue F. Statistical properties of Jakes' fading channel simulator // VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151). Ottawa, ON, Canada, 1998. Vol.2. Р. 712–718. doi: 10.1109/VETEC.1998.683675.

Published

2025-03-16

How to Cite

Buhaiov, M. (2025). Mathematical modelling of unmanned aerial vehicle based wideband spectrum sensing. Radiotekhnika, (219), 82–91. https://doi.org/10.30837/rt.2024.4.219.09

Issue

Section

Articles