A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths

Abstract Due to the rapid growth of unmanned aerial vehicles (UAVs), their spectrum resources become scarce, leading to UAVs requiring spectrum prediction to share the spectrum with other users. However, contemporary prediction methods may have difficulty in predicting the spectrum states at the nex...

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Main Authors: Shan Luo, Wenjun Zhou, Lifan Wu, Qixiang Zhang, Rongping Lin, Yao Yan, Hui Li, Siyu Xie
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-10691-x
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author Shan Luo
Wenjun Zhou
Lifan Wu
Qixiang Zhang
Rongping Lin
Yao Yan
Hui Li
Siyu Xie
author_facet Shan Luo
Wenjun Zhou
Lifan Wu
Qixiang Zhang
Rongping Lin
Yao Yan
Hui Li
Siyu Xie
author_sort Shan Luo
collection DOAJ
description Abstract Due to the rapid growth of unmanned aerial vehicles (UAVs), their spectrum resources become scarce, leading to UAVs requiring spectrum prediction to share the spectrum with other users. However, contemporary prediction methods may have difficulty in predicting the spectrum states at the next location, because the UAVs cannot obtain the historical data in advance to train prediction models. This paper introduces a temporal-spatial spectrum prediction approach for arbitrary flight within a specific region. The main issue involves the estimation of historical data at the next location during flight, accomplished through the concept of homotopy theory (HT). First, the HT is extended from two objects to multiple objects. Then, the historical data is estimated by homotopy mapping, which is derived by the boundary conditions of the HT and the physical meanings of the model parameters. Finally, the spectrum is predicted by the hidden Markov model (HMM) using the HT estimated data, referring to the multiple objects HT-HMM (MOHT-HMM) based prediction method. The main innovation is to use the HT to estimate the historical data at the next location, avoiding the non-stationarity and correlation issues of the spectra. Experimental results using real measured civil aviation data show the efficacy of the MOHT-HMM in accurately predicting UAV spectrum during arbitrary flights within a preset area.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-07-01
publisher Nature Portfolio
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series Scientific Reports
spelling doaj-art-e3d034b1cc244151a64ccf05fde969442025-08-20T03:45:55ZengNature PortfolioScientific Reports2045-23222025-07-0115111810.1038/s41598-025-10691-xA homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight pathsShan Luo0Wenjun Zhou1Lifan Wu2Qixiang Zhang3Rongping Lin4Yao Yan5Hui Li6Siyu Xie7School of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaAbstract Due to the rapid growth of unmanned aerial vehicles (UAVs), their spectrum resources become scarce, leading to UAVs requiring spectrum prediction to share the spectrum with other users. However, contemporary prediction methods may have difficulty in predicting the spectrum states at the next location, because the UAVs cannot obtain the historical data in advance to train prediction models. This paper introduces a temporal-spatial spectrum prediction approach for arbitrary flight within a specific region. The main issue involves the estimation of historical data at the next location during flight, accomplished through the concept of homotopy theory (HT). First, the HT is extended from two objects to multiple objects. Then, the historical data is estimated by homotopy mapping, which is derived by the boundary conditions of the HT and the physical meanings of the model parameters. Finally, the spectrum is predicted by the hidden Markov model (HMM) using the HT estimated data, referring to the multiple objects HT-HMM (MOHT-HMM) based prediction method. The main innovation is to use the HT to estimate the historical data at the next location, avoiding the non-stationarity and correlation issues of the spectra. Experimental results using real measured civil aviation data show the efficacy of the MOHT-HMM in accurately predicting UAV spectrum during arbitrary flights within a preset area.https://doi.org/10.1038/s41598-025-10691-xSpectrum predictionUnmanned aerial vehiclesHomotopyHidden Markov model
spellingShingle Shan Luo
Wenjun Zhou
Lifan Wu
Qixiang Zhang
Rongping Lin
Yao Yan
Hui Li
Siyu Xie
A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
Scientific Reports
Spectrum prediction
Unmanned aerial vehicles
Homotopy
Hidden Markov model
title A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
title_full A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
title_fullStr A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
title_full_unstemmed A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
title_short A homotopy estimation based temporal-spatial spectrum prediction for UAV communications with arbitrary flight paths
title_sort homotopy estimation based temporal spatial spectrum prediction for uav communications with arbitrary flight paths
topic Spectrum prediction
Unmanned aerial vehicles
Homotopy
Hidden Markov model
url https://doi.org/10.1038/s41598-025-10691-x
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