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Non-Terrestrial Network (NTN): a Novel Alternate Fractional Programming for the Downlink Channels Power Allocation

Mahfuzur Rahman, Zoheb Hassan, Jeffrey H. Reed, Lingjia Liu

TL;DR

The paper tackles efficient downlink power allocation in GEO-based Non-Terrestrial Networks by introducing a novel alternate Fractional Programming (FP) algorithm. It formulates a non-convex, NP-hard sum-rate optimization and applies a Lagrangian dual transform with quadratic stabilization to derive tractable updates for power, association, and auxiliary variables, extending FP/WMMSE techniques to NTN. Through link-level simulations on S-band and Ka-band for single- and multi-spot beam configurations, the approach consistently outperforms a conventional FP baseline in spectral efficiency, average RBG rate, and total sum rate, demonstrating clear gains in crowded NTN scenarios. The results support the method’s potential to enhance NTN resource utilization and performance, with implications for operational efficiency in future 5G/6G NTN deployments.

Abstract

Non-terrestrial network (NTN) communication has garnered considerable attention from government entities, industries, and academia in recent times. NTN networks encompass a variety of systems, including Low Earth Orbit (LEO) satellites, Medium Earth Orbit (MEO) satellites, Geostationary Earth Orbit (GEO) satellites, High Altitude Platforms (HAPS), and Low Altitude Platforms (LAPS). Furthermore, the deployment of high-throughput satellites (HTS/VHTS) in the GEO space has gained momentum. While LEO and MEO satellites offer advantages such as low latency and reduced launching costs compared to GEO satellites, this study focuses on GEO satellites due to their stationary nature and broader coverage. In traditional cellular networks, each user equipment (UE) is allocated at least one resource block (RB), which is not shared with other UEs. However, in NTN communications, where the coverage area is extensive, dedicating an RB to only one UE is an inefficient utilization of radio resources. To address this challenge, fractional programming (FP), cognitive radio, and rate splitting multiple access (RSMA) are existing technologies. This paper aims to maximize spectral efficiency, average RBG rate, and sum rate for GEO satellite systems. However, achieving this objective involves dealing with a non-convex, NP-hard problem, as it requires the logarithmic sum of different fractions. Finding a global solution to such an NP-hard problem presents significant challenges. This paper introduces a novel alternate fractional programming algorithm specifically designed to tackle these complex NP-hard problems in the context of GEO NTN cellular networks. By employing this innovative approach, the study seeks to contribute to the optimization of NTN communication systems, enabling efficient resource allocation and improved network performance.

Non-Terrestrial Network (NTN): a Novel Alternate Fractional Programming for the Downlink Channels Power Allocation

TL;DR

The paper tackles efficient downlink power allocation in GEO-based Non-Terrestrial Networks by introducing a novel alternate Fractional Programming (FP) algorithm. It formulates a non-convex, NP-hard sum-rate optimization and applies a Lagrangian dual transform with quadratic stabilization to derive tractable updates for power, association, and auxiliary variables, extending FP/WMMSE techniques to NTN. Through link-level simulations on S-band and Ka-band for single- and multi-spot beam configurations, the approach consistently outperforms a conventional FP baseline in spectral efficiency, average RBG rate, and total sum rate, demonstrating clear gains in crowded NTN scenarios. The results support the method’s potential to enhance NTN resource utilization and performance, with implications for operational efficiency in future 5G/6G NTN deployments.

Abstract

Non-terrestrial network (NTN) communication has garnered considerable attention from government entities, industries, and academia in recent times. NTN networks encompass a variety of systems, including Low Earth Orbit (LEO) satellites, Medium Earth Orbit (MEO) satellites, Geostationary Earth Orbit (GEO) satellites, High Altitude Platforms (HAPS), and Low Altitude Platforms (LAPS). Furthermore, the deployment of high-throughput satellites (HTS/VHTS) in the GEO space has gained momentum. While LEO and MEO satellites offer advantages such as low latency and reduced launching costs compared to GEO satellites, this study focuses on GEO satellites due to their stationary nature and broader coverage. In traditional cellular networks, each user equipment (UE) is allocated at least one resource block (RB), which is not shared with other UEs. However, in NTN communications, where the coverage area is extensive, dedicating an RB to only one UE is an inefficient utilization of radio resources. To address this challenge, fractional programming (FP), cognitive radio, and rate splitting multiple access (RSMA) are existing technologies. This paper aims to maximize spectral efficiency, average RBG rate, and sum rate for GEO satellite systems. However, achieving this objective involves dealing with a non-convex, NP-hard problem, as it requires the logarithmic sum of different fractions. Finding a global solution to such an NP-hard problem presents significant challenges. This paper introduces a novel alternate fractional programming algorithm specifically designed to tackle these complex NP-hard problems in the context of GEO NTN cellular networks. By employing this innovative approach, the study seeks to contribute to the optimization of NTN communication systems, enabling efficient resource allocation and improved network performance.
Paper Structure (21 sections, 16 equations, 5 figures, 1 algorithm)

This paper contains 21 sections, 16 equations, 5 figures, 1 algorithm.

Figures (5)

  • Figure 1: Non-Terrestrial Network Architecture
  • Figure 2: Spectral efficiency of S-band single spot beam (SSB) and multi-spot beams (MSB)
  • Figure 3: Spectral efficiency of single spot beam (SSB) for S-band and K-band
  • Figure 4: Avg. RBG rate for S-band and K-band single spot beam (SSB)
  • Figure 5: Total sum rate for S-Band for single and multi spot beams (SSB, MSB)