An Integrated Ray Tracing and Variable-Step Fourier Transform-Based Split-Step Parabolic Equation Modeling Approach for UAV-Assisted Channel Characterization in Mountainous Environments.

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Title: An Integrated Ray Tracing and Variable-Step Fourier Transform-Based Split-Step Parabolic Equation Modeling Approach for UAV-Assisted Channel Characterization in Mountainous Environments.
Authors: Shi, Jihui1, Song, Jian1 songjian@kust.edu.cn
Source: Progress in Electromagnetics Research C. 2026, Vol. 168, p1-10. 10p.
Subjects: Ray tracing, Fourier transforms, Emergency communication systems, Parabolic differential equations, Wireless communications, Uplands, Millimeter wave communication systems
Abstract: To enhance communication performance in mountainous environments, unmanned aerial vehicle (UAV)-assisted communication systems have emerged as a mainstream solution. Channel modeling for UAV-assisted communication is a critical research focus, confronting prominent challenges, including balancing computational efficiency and modeling accuracy. This paper proposes a hybrid modeling approach that combines ray tracing (RT) and the variable-step Fourier transform-based Split-Step Parabolic Equation (V-FSSPE) to address the issue. The proposed method fully leverages the strengths of RT in accurately calculating direct, reflected, and diffracted propagation paths, as well as the advantages of V-FSSPE in efficiently modeling long-distance and large-scale areas. A hierarchical model suitable for low-altitude UAV communication is thereby established. Simulation results demonstrate that, compared with traditional modeling methods, the proposed method in this study effectively balances accuracy and efficiency in terrain-dominated air-to-ground channels, making it suitable for millimeter wave (mmWave) communication and emergency communication network planning in terrain-dominated propagation environments. Since factors such as vegetation and atmospheric effects have not yet been incorporated, practical deployment requires case-specific corrections based on the actual environment. Nonetheless, this framework is expected to provide important theoretical references and foundational support for the design and optimization of communication systems in related fields. [ABSTRACT FROM AUTHOR]
Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: An Integrated Ray Tracing and Variable-Step Fourier Transform-Based Split-Step Parabolic Equation Modeling Approach for UAV-Assisted Channel Characterization in Mountainous Environments.
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  Data: <searchLink fieldCode="AR" term="%22Shi%2C+Jihui%22">Shi, Jihui</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Song%2C+Jian%22">Song, Jian</searchLink><relatesTo>1</relatesTo><i> songjian@kust.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Progress+in+Electromagnetics+Research+C%22">Progress in Electromagnetics Research C</searchLink>. 2026, Vol. 168, p1-10. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Ray+tracing%22">Ray tracing</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Emergency+communication+systems%22">Emergency communication systems</searchLink><br /><searchLink fieldCode="DE" term="%22Parabolic+differential+equations%22">Parabolic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Wireless+communications%22">Wireless communications</searchLink><br /><searchLink fieldCode="DE" term="%22Uplands%22">Uplands</searchLink><br /><searchLink fieldCode="DE" term="%22Millimeter+wave+communication+systems%22">Millimeter wave communication systems</searchLink>
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  Label: Abstract
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  Data: To enhance communication performance in mountainous environments, unmanned aerial vehicle (UAV)-assisted communication systems have emerged as a mainstream solution. Channel modeling for UAV-assisted communication is a critical research focus, confronting prominent challenges, including balancing computational efficiency and modeling accuracy. This paper proposes a hybrid modeling approach that combines ray tracing (RT) and the variable-step Fourier transform-based Split-Step Parabolic Equation (V-FSSPE) to address the issue. The proposed method fully leverages the strengths of RT in accurately calculating direct, reflected, and diffracted propagation paths, as well as the advantages of V-FSSPE in efficiently modeling long-distance and large-scale areas. A hierarchical model suitable for low-altitude UAV communication is thereby established. Simulation results demonstrate that, compared with traditional modeling methods, the proposed method in this study effectively balances accuracy and efficiency in terrain-dominated air-to-ground channels, making it suitable for millimeter wave (mmWave) communication and emergency communication network planning in terrain-dominated propagation environments. Since factors such as vegetation and atmospheric effects have not yet been incorporated, practical deployment requires case-specific corrections based on the actual environment. Nonetheless, this framework is expected to provide important theoretical references and foundational support for the design and optimization of communication systems in related fields. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.2528/PIERC26012006
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 10
        StartPage: 1
    Subjects:
      – SubjectFull: Ray tracing
        Type: general
      – SubjectFull: Fourier transforms
        Type: general
      – SubjectFull: Emergency communication systems
        Type: general
      – SubjectFull: Parabolic differential equations
        Type: general
      – SubjectFull: Wireless communications
        Type: general
      – SubjectFull: Uplands
        Type: general
      – SubjectFull: Millimeter wave communication systems
        Type: general
    Titles:
      – TitleFull: An Integrated Ray Tracing and Variable-Step Fourier Transform-Based Split-Step Parabolic Equation Modeling Approach for UAV-Assisted Channel Characterization in Mountainous Environments.
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          Name:
            NameFull: Shi, Jihui
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            NameFull: Song, Jian
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          Dates:
            – D: 01
              M: 06
              Text: 2026
              Type: published
              Y: 2026
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              Value: 168
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            – TitleFull: Progress in Electromagnetics Research C
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