TY - GEN
T1 - Fractional Hamilton-Jacobi-Bellman Optimization for Robust Power Control in 6G SAGINs Non-Gaussian Wireless Channels
AU - Li, Mengqi
AU - Li, Lixin
AU - Lin, Wensheng
AU - Han, Zhu
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - The sixth-generation (6 G) space-air-ground integrated networks (SAGINs) face critical challenges in establishing accurate analytical channel models and addressing nonstationary, non-Gaussian noise and interference, driven by ultrahigh mobility (e.g., unmanned aerial vehicles (UAVs) and highspeed trains) and heterogeneous propagation environments. To address these issues, this paper proposes a novel wireless channel model using symmetric α -stable (S α S) Lévy processes to accurately characterize non-Gaussian fading behaviors. Based on this model, a fractional Hamilton-Jacobi-Bellman (HJB) equation incorporating generalized Riesz fractional operators is derived to optimize power control under non-stationary interference conditions. Numerical simulations are conducted in a same-frequency, multi-base-station, multi-user downlink scenario, demonstrating the proposed framework's effectiveness in adaptively adjusting base station transmit power.
AB - The sixth-generation (6 G) space-air-ground integrated networks (SAGINs) face critical challenges in establishing accurate analytical channel models and addressing nonstationary, non-Gaussian noise and interference, driven by ultrahigh mobility (e.g., unmanned aerial vehicles (UAVs) and highspeed trains) and heterogeneous propagation environments. To address these issues, this paper proposes a novel wireless channel model using symmetric α -stable (S α S) Lévy processes to accurately characterize non-Gaussian fading behaviors. Based on this model, a fractional Hamilton-Jacobi-Bellman (HJB) equation incorporating generalized Riesz fractional operators is derived to optimize power control under non-stationary interference conditions. Numerical simulations are conducted in a same-frequency, multi-base-station, multi-user downlink scenario, demonstrating the proposed framework's effectiveness in adaptively adjusting base station transmit power.
KW - Non-Gaussian fading
KW - Riesz fractional operator
KW - fractional Hamilton-Jacobi-Bellman
KW - power control
KW - symmetric α-stable Lévy processes
UR - https://www.scopus.com/pages/publications/105017806952
U2 - 10.1109/ICCC65529.2025.11148913
DO - 10.1109/ICCC65529.2025.11148913
M3 - 会议稿件
AN - SCOPUS:105017806952
T3 - 2025 IEEE/CIC International Conference on Communications in China:Shaping the Future of Integrated Connectivity, ICCC 2025
BT - 2025 IEEE/CIC International Conference on Communications in China:Shaping the Future of Integrated Connectivity, ICCC 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2025 IEEE/CIC International Conference on Communications in China, ICCC 2025
Y2 - 10 August 2025 through 13 August 2025
ER -