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LEO satellite constellations configuration based on the Doppler effect in laser intersatellite links 基于激光星间链路多普勒效应的低地轨道卫星星座配置
IF 0.9 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-05-12 DOI: 10.1002/sat.1520
Kaouther Boumalek, Skander Aris, Shu Ting Goh, Seyed A. Zekavat, Malek Benslama

This paper presents low Earth orbit (LEO) satellite constellation configuration based on the performance of Doppler effect in laser intersatellite links (LISLs). It studies the impact of the LEO constellation's parameters on the performance of the Doppler effect in LISLs. The paper aims to develop LEO satellite constellation configurations that evolve LISLs with minimal Doppler shift. It evaluates the impact of the variation of the relative distance, the inclination angle of the LEO constellation orbital planes, the orbital planes number in the LEO constellation, and the altitude on the performance of Doppler wavelength shift (DWS) in LISLs, for different operating laser wavelengths (OLWs) with respect to two possible intersatellite links (ISL) connection modes within the constellation, straight ISL (n-to-n) and inclined ISL (n-to-n − 1). n is the order of the satellite in the orbital plane. Simulations are conducted to evaluate the performance of these configurations in terms of altitude, OLW, inclination angle, and the number of orbital planes. In addition, both OneWeb and Starlink constellations are studied to evaluate DWS performance. The study demonstrates that DWS decreases either with the diminution of the relative distance between linked LEO satellites, the inclination of LEO constellation, and the OLW, or with the augmentation of the orbital planes number and altitude. Moreover, the overall DWS between two LEO satellites in the proposed constellation is at least 50% lower than the constellation configuration in other literature. The paper proposes the LEO constellation's configurations that perform LISLs with less possible Doppler effect by optimizing the LEO constellation parameters that impact the Doppler effect. The result of this study helps in the early stage of LEO satellite constellation designing in terms of payload simplicity and cost.

摘要本文介绍了基于激光星间链路(LISL)多普勒效应性能的低地球轨道(LEO)卫星星座配置。它研究了低地轨道星座参数对激光星间链路中多普勒效应性能的影响。本文旨在开发低地轨道卫星星座配置,使激光星间链路的多普勒频移最小。它评估了相对距离、低地轨道卫星星座轨道平面的倾角、低地轨道卫星星座中的轨道平面数和高度的变化对低地轨道卫星多普勒波长偏移(DWS)性能的影响,针对星座内两种可能的卫星间链路(ISL)连接模式,即直线 ISL(n 对 n)和倾斜 ISL(n 对 n - 1),采用不同的工作激光波长(OLW)。n 是卫星在轨道平面上的顺序。模拟评估了这些配置在高度、OLW、倾角和轨道平面数量方面的性能。此外,还对 OneWeb 和 Starlink 星座进行了研究,以评估 DWS 性能。研究表明,DWS 会随着连接的低地轨道卫星之间的相对距离、低地轨道星座的倾角和 OLW 的减小而减小,或者随着轨道平面数量和高度的增加而增加。此外,拟议星座中两颗低地轨道卫星之间的整体 DWS 比其他文献中的星座配置至少低 50%。本文通过优化影响多普勒效应的低地轨道星座参数,提出了执行低地轨道激光雷达时可能产生较少多普勒效应的低地轨道星座配置。这项研究的结果有助于低地轨道卫星星座设计的早期阶段,从而简化有效载荷并降低成本。
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引用次数: 0
Joint altitude and beamwidth optimization for LEO satellite-based IoT constellation 低地轨道卫星物联网星座的联合高度和波束宽度优化
IF 0.9 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-05-10 DOI: 10.1002/sat.1518
Hong Tao, Wang Gang, Ding Xiaojin, Zhang Gengxin

Low Earth Orbit (LEO) satellite-based Internet of Things (IoT) has become a hot topic in IoT networks due to the ability of global coverage, especially in remote areas. How to design a commercial LEO satellite-based constellation to meet the IoT traffic requirement remains an open problem. In this paper, we propose a throughput optimization algorithm for LEO satellite-based IoT networks meanwhile reducing the number of LEO satellite. Based on stochastic geometry theory, a closed-form expression is derived for the throughput of a dynamic LEO satellite-based IoT networks when LEO satellite equips with capture effect (CE) receiver and successive interference cancelation (SIC) receiver, respectively. Furthermore, a joint altitude and beamwidth optimization problem is formulated under the constraint of Walker constellation to optimize the throughput and the number of LEO satellites. To solve this multi-objective optimization problem, we design an iterative non-dominated sorting genetic algorithm II (NSGA-II) for the rapid development of IoT traffic. Simulation results show that our proposed algorithm can effectively improve the throughput performance of random access (RA) protocol in LEO satellite-based IoT networks compared to benchmark problems.

摘要基于低地轨道(LEO)卫星的物联网(IoT)由于能够覆盖全球,尤其是偏远地区,已成为物联网网络的热门话题。如何设计一个基于低地轨道的商用卫星星座来满足物联网的流量需求,仍然是一个未决问题。本文提出了一种基于 LEO 卫星的物联网网络吞吐量优化算法,同时减少了 LEO 卫星的数量。基于随机几何理论,当低地轨道卫星分别配备捕获效应(CE)接收器和连续干扰抵消(SIC)接收器时,基于低地轨道卫星的动态物联网网络的吞吐量可得出闭式表达式。此外,在沃克星座的约束下,还提出了一个高度和波束宽度联合优化问题,以优化吞吐量和低地轨道卫星的数量。为了解决这个多目标优化问题,我们设计了一种迭代非支配排序遗传算法 II(NSGA-II),以适应物联网流量的快速发展。仿真结果表明,与基准问题相比,我们提出的算法能有效提高基于低地轨道卫星的物联网网络中随机接入(RA)协议的吞吐量性能。
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引用次数: 0
Energy-efficient physical layer security schemes for low Earth orbit satellite systems 低地球轨道卫星系统的高能效物理层安全方案
IF 0.9 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-05-09 DOI: 10.1002/sat.1519
Satya Chan, Sooyoung Kim, Hee Wook Kim, Bon-Jun Ku, Daesub Oh

This paper introduces four proposals to enhance physical layer security (PLS) in low Earth orbit (LEO) satellite systems. The first proposal leverages the Alamouti code aided by artificial noise (AN) and involves the collaborative use of two LEO satellites, ensuring secure downlink transmission. Its efficiency is further enhanced when implementing a power-balanced Alamouti code. The second PLS proposal capitalizes on an reconfigurable intelligent surface (RIS) to introduce interference to potential eavesdroppers. As the RIS manages the reflected channel, this security measure is achieved without necessitating additional transmit power or receiver operations. The third proposal integrates the first and second solutions, resulting in improved secrecy rates compared to the individual proposals, nearly reaching the maximum achievable rate. The fourth proposal is based on a relay-based method, securing all transmission links from the satellite to the relay and from the satellite and relay to the legitimate user. The secrecy performance simulation results presented in the paper demonstrate the remarkable effectiveness of the proposed solutions.

摘要 本文介绍了在低地球轨道(LEO)卫星系统中增强物理层安全性(PLS)的四项建议。第一项建议利用人工噪声(AN)辅助的阿拉木图码,涉及两颗低地轨道卫星的协同使用,以确保安全的下行链路传输。在实施功率平衡 Alamouti 代码时,其效率得到进一步提高。第二项 PLS 提议利用可重构智能表面 (RIS) 对潜在窃听者进行干扰。由于 RIS 可管理反射信道,因此无需额外的发射功率或接收器操作即可实现这一安全措施。第三种方案综合了第一和第二种方案,与单独的方案相比,保密率得到了提高,几乎达到了可实现的最大保密率。第四种方案是基于中继的方法,确保从卫星到中继以及从卫星和中继到合法用户的所有传输链路的安全。本文提供的保密性能仿真结果表明了所提方案的显著效果。
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引用次数: 0
Rethinking LEO constellations routing 重新思考低地轨道星座的路由选择
IF 1.6 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-30 DOI: 10.1002/sat.1514
Paul Grislain, Alexia Auddino, Anna Barraqué, François Lamothe, Oana Hotescu, Jérôme Lacan, José Radzik, Emmanuel Lochin

This study investigates the unsplittable multicommodity flow (UMCF) as a routing algorithm for LEO constellations. Usually, LEO routing schemes enable the Floyd–Warshall algorithm (shortest path) to minimize the end-to-end latency of the flows crossing the constellation. We propose to solve the UMCF problem associated with the system as a solution for routing over LEO. We use a heuristic algorithm based on randomized rounding known in the optimization literature to efficiently solve the UMCF problem. Furthermore, we explore the impact of choosing the first/last hop before entering/exiting the constellation. Using network simulation over Telesat constellation, we show that UMCF maximizes the end-to-end links usage, providing better routing while minimizing the delay and the congestion level, which is an issue today over new megaconstellations.

摘要 本研究探讨了作为低地轨道星座路由算法的不可拆分多商品流(UMCF)。通常,低地轨道路由方案采用 Floyd-Warshall 算法(最短路径)来最小化穿越星座的流的端到端延迟。我们建议解决与系统相关的 UMCF 问题,以此作为低地轨道路由选择的解决方案。我们使用优化文献中已知的基于随机舍入的启发式算法来高效解决 UMCF 问题。此外,我们还探讨了在进入/退出星座前选择第一/最后一跳的影响。通过在 Telesat 星座上进行网络仿真,我们发现 UMCF 能最大限度地提高端到端链路的使用率,提供更好的路由选择,同时最大限度地降低延迟和拥塞水平,而这正是当今新的超大型恒星所面临的问题。
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引用次数: 0
Efficient and quantum-secure authenticated key exchange scheme for mobile satellite communication networks 移动卫星通信网络的高效量子安全认证密钥交换方案
IF 1.7 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-26 DOI: 10.1002/sat.1516
Dheerendra Mishra, Purva Rewal, Komal Pursharthi

The mobile satellite communication (MSC) system is a vital communication method in which mobile users and network control centers connect via satellites. Since the satellite's communication is wireless, communication security is a critical factor to ensure accountable communication. Key exchange and authentication (KEA) mechanism is widely used to achieve data security for data transmitted in an insecure or open channel. Different authentication systems are suggested in the last many years to establish safe communication, whereas most existing security protocols are based on factorization or discrete logarithm. However, these systems are no longer reliable by Shor's algorithm as any discrete logarithm and factorization can be resolved in polynomial time on quantum computers. Thus, developing a quantum secure KEA protocol for MSC systems is necessary. In this direction, recently a ring learning with an error-based KEA technique is proposed to ensure a quantum-safe environment. This scheme is quantum-safe and satisfies desirable security attributes but has low efficiency in computation and communication. Moreover, establishing a secure session requires six communications among involved entities. As a result, replay attack detection at an early stage is not possible for the central authority (server), which could delay the server response, and the adversary gets the advantage of drawing a denial of service scenario for authorized entities. We propose a lattice-based KEA protocol for the MSC system to improve computation, communication efficiency, and early-stage replay attack detection. The security analysis of the proposed scheme is presented in the random oracle model. Calculation of performance is also presented to observe advantages in computation and communication overhead.

摘要移动卫星通信(MSC)系统是移动用户和网络控制中心通过卫星进行连接的重要通信方式。由于卫星通信是无线通信,因此通信安全是确保可靠通信的关键因素。密钥交换和认证(KEA)机制被广泛用于实现在不安全或开放信道中传输数据的数据安全。在过去的许多年里,人们提出了不同的认证系统来建立安全的通信,而大多数现有的安全协议都是基于因式分解或离散对数。然而,由于任何离散对数和因式分解都可以在量子计算机上以多项式时间解决,因此这些系统不再可靠。因此,有必要为 MSC 系统开发一种量子安全 KEA 协议。在这个方向上,最近提出了一种基于错误的环学习 KEA 技术,以确保量子安全环境。该方案是量子安全的,满足理想的安全属性,但计算和通信效率较低。此外,建立安全会话需要参与实体之间进行六次通信。因此,中央机构(服务器)不可能在早期阶段检测到重放攻击,这可能会延迟服务器的响应,而对手则可以利用这一优势为授权实体提供拒绝服务场景。我们为 MSC 系统提出了一种基于网格的 KEA 协议,以提高计算、通信效率和早期重放攻击检测能力。我们在随机甲骨文模型中对所提方案进行了安全性分析。我们还对性能进行了计算,以观察计算和通信开销方面的优势。
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引用次数: 0
5G new radio multiuser precoding in geostationary satellite networks 地球静止卫星网络中的 5G 新无线电多用户预编码
IF 1.6 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-22 DOI: 10.1002/sat.1515
Xavier Artiga, Miguel Ángel Vázquez

The multiuser precoding procedures standardized by the 3rd Generation Partnership Project (3GPP) for new radio (NR) represent a new opportunity to realize satellite precoding for capacity improvement, given the integration of non-terrestrial networks in the 3GPP framework. This work analyses and numerically evaluates them for the geostationary satellite scenarios consolidated by the 3GPP. It shows that the preferred precoding matrix indicated by NR codebooks is not able to handle properly the inter-beam interference and should only be used to estimate the propagation channel. To this aim, we propose the use of modified type II port selection codebooks reporting on the strongest beams, which correspond to the higher interferences. Since the obtention of high precoding gains requires the operation in rather high signal-to-noise regimes and the proper estimation of the interfering contributions from many beams, we propose to enlarge the maximum number of beams reported by each precoding matrix indicator (PMI) report, currently limited to four. As alternative, we also evaluate a sequential multi-report framework considering the effects of channel-state information aging and the user equipment (UE) processing times. It preserves the current limits on the number of reported beams but increases the system overhead signalling. The quantization of estimated coefficients is also analysed, not only from the overhead point of view but also to properly report weak interferers corresponding to distant beams, due to the increase in the number of reported beams. Moreover, we identify the minimum interference power a UE should be able to detect to achieve the theoretical large precoding gains.

第三代合作伙伴项目(3GPP)为新无线电(NR)标准化的多用户预编码程序是实现卫星预编码以提高容量的新机遇,因为非地面网络已纳入 3GPP 框架。这项研究针对 3GPP 整合的地球静止卫星方案对其进行了分析和数值评估。结果表明,NR 编码本所指示的首选预编码矩阵无法正确处理波束间干扰,只能用于估计传播信道。为此,我们建议使用修改后的第二类端口选择编码本,对最强波束进行报告,因为最强波束对应较高的干扰。由于要获得较高的预编码增益,需要在信噪比相当高的情况下工作,并对许多波束的干扰贡献进行正确估计,因此我们建议增加每个预编码矩阵指示器(PMI)报告的最大波束数,目前仅限于四个。考虑到信道状态信息老化和用户设备(UE)处理时间的影响,作为替代方案,我们还评估了顺序多报告框架。它保留了目前对报告波束数量的限制,但增加了系统开销信号。我们还对估计系数的量化进行了分析,这不仅是从开销的角度出发,而且也是为了适当报告与远波束相对应的弱干扰,因为报告的波束数量增加了。此外,我们还确定了 UE 应该能够检测到的最小干扰功率,以实现理论上的较大预编码增益。
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引用次数: 0
Collaborative interference avoidance technology in GEO-LEO co-existing satellite system GEO-LEO 共存卫星系统中的协同干扰规避技术
IF 1.7 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-18 DOI: 10.1002/sat.1511
Mengmin He, Gaofeng Cui, Mengjing Wu, Weidong Wang

Recently, the Low Earth Orbit (LEO) satellite and Geostationary Earth Orbit (GEO) satellites share the same frequency to enhance spectrum efficiency in response to the scarcity of spectral resources. However, overlapping coverage areas emerge when LEO-GEO and LEO-LEO beams cover the same ground area in the GEO-LEO co-existing satellite system. Thus, the GEO-LEO inter-system interference and the LEO intra-system interference are generated, which leads to more severe and complex interference. To solve the co-channel interference problem without sacrificing the performance of the LEO system, a collaborative interference avoidance technology is proposed for the GEO-LEO co-existing satellite system. Firstly, the LEO satellite and user regrouping strategy (SURS) is employed to effectively avoid severe co-channel interference by changing service satellites. Then, based on regrouping satellite and user pairs, a proximal policy optimization (PPO)-based deep reinforcement learning (DRL) method is adopted to realize further continuous beam pointing optimization (BPO) of the LEO user antenna and reduce the co-channel interference. Finally, simulation results verify that the proposed scheme can achieve the goal of interference mitigation and continuous service.

摘要最近,低地轨道(LEO)卫星和地球静止轨道(GEO)卫星共享同一频率,以提高频谱效率,应对频谱资源稀缺的问题。然而,在 GEO-LEO 共存卫星系统中,当 LEO-GEO 和 LEO-LEO 波束覆盖同一地面区域时,就会出现覆盖区域重叠的情况。因此,会产生 GEO-LEO 系统间干扰和 LEO 系统内干扰,从而导致更严重、更复杂的干扰。为了在不影响低地轨道系统性能的前提下解决同信道干扰问题,提出了一种针对 GEO-LEO 共存卫星系统的协同干扰规避技术。首先,采用低地轨道卫星和用户重组策略(SURS),通过更换服务卫星有效避免严重的同频干扰。然后,在重组卫星和用户对的基础上,采用基于近端策略优化(PPO)的深度强化学习(DRL)方法,进一步实现低地轨道用户天线的连续波束指向优化(BPO),降低同频干扰。最后,仿真结果验证了所提出的方案能够实现干扰缓解和连续服务的目标。
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引用次数: 0
Joint beam power and pointing management in multi-beam low earth orbit and low earth orbit co-existing satellite system 多波束低地轨道和低地轨道共存卫星系统中的联合波束功率和指向管理
IF 1.7 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-12 DOI: 10.1002/sat.1509
Mengmin He, Gaofeng Cui, Mengjing Wu, Weidong Wang

Recently, the low earth orbit (LEO) satellite has attracted much attention due to its advantages of low latency and construction costs. However, the scarcity of frequency spectrum resources has resulted in these satellites sharing the same spectrum to provide services for ground users. So, challenges such as overlapping beam coverage and inter-beam interference occur in the multi-beam LEO satellite coexistence scenario. Therefore, this paper focuses on the issue of interference coexistence in LEO and LEO (LEO–LEO) co-existing scenario, where the initially established system is the primary system, and the later established system is the secondary system. The interference coexistence problem is modeled as a multi-objective optimization problem. The joint beam power and pointing management (JBPPM) based on particle swarm optimization (PSO) is proposed. The power control is applied to the LEO satellites in the secondary system to reduce the interference to the primary system user. Meanwhile, beam pointing optimization is adopted by the LEO users in the secondary system to avoid interference from the primary system and ensure the minimum communication ability. The simulation results verify that the proposed technique can adapt to various coexistence conditions and outperform the existing method.

近来,低地球轨道(LEO)卫星因其低延迟和低建造成本的优势而备受关注。然而,频谱资源的稀缺导致这些卫星共享相同频谱为地面用户提供服务。因此,在多波束低地轨道卫星共存的情况下,会出现波束覆盖重叠和波束间干扰等挑战。因此,本文重点研究低地轨道和低地轨道(LEO-LEO)共存情况下的干扰共存问题,其中最初建立的系统为主要系统,后来建立的系统为次要系统。干扰共存问题被模拟为一个多目标优化问题。提出了基于粒子群优化(PSO)的波束功率和指向联合管理(JBPPM)。对次级系统中的低地球轨道卫星进行功率控制,以减少对主系统用户的干扰。同时,二次系统中的低地球轨道用户采用波束指向优化,以避免来自一次系统的干扰,并确保最小的通信能力。仿真结果验证了所提出的技术能够适应各种共存条件,并优于现有方法。
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引用次数: 0
An intelligent load balancing algorithm for 5G-satellite networks 面向 5G 卫星网络的智能负载平衡算法
IF 0.9 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-11 DOI: 10.1002/sat.1517
Mobolanle Bello, Prashant Pillai, Ali Safaa Sadiq

Cellular networks are projected to deal with an immense rise in data traffic, as well as an enormous and diverse device, plus advanced use cases, in the nearest future; hence, future 5G networks are being developed to consist of not only 5G but also different radio access technologies (RATs) integrated. In addition to 5G, the user's device (UD) will be able to connect to the network via LTE, WiMAX, WiFi, Satellite and other technologies. On the other hand, Satellite has been suggested as a preferred network to support 5G use cases. However, achieving load balancing is essential to guarantee an equal amount of traffic distributed between different RATs in a heterogeneous wireless network; this would enable optimal utilisation of the radio resources and lower the likelihood of call blocking/dropping. This study presented an artificial intelligent-based application in heterogeneous wireless networks and proposed an enhanced particle optimisation (EPSO) algorithm to solve the load balancing problem in 5G-Satellite networks. The algorithm uses a call admission control strategy to admit users into the network to ensure that users are evenly distributed on the network. The proposed algorithm was compared with the Artificial Bee Colony and Simulated Annealing algorithm using three performance metrics: throughput, call blocking and fairness. Finally, based on the experimental findings, results outcomes were analysed and discussed.

摘要预计在不久的将来,蜂窝网络将应对数据流量的大幅增长,以及庞大而多样化的设备和高级用例;因此,未来的 5G 网络不仅包括 5G,还将集成不同的无线接入技术 (RAT)。除了 5G 之外,用户设备(UD)还可以通过 LTE、WiMAX、WiFi、卫星和其他技术连接到网络。另一方面,卫星被认为是支持 5G 用例的首选网络。然而,实现负载平衡对于保证异构无线网络中不同 RAT 之间的流量分配均等至关重要;这将使无线电资源得到最佳利用,并降低呼叫阻塞/掉线的可能性。本研究介绍了异构无线网络中基于人工智能的应用,并提出了一种增强粒子优化(EPSO)算法来解决 5G 卫星网络中的负载平衡问题。该算法采用呼叫准入控制策略来接纳用户进入网络,以确保用户在网络上均匀分布。利用吞吐量、呼叫阻塞和公平性三个性能指标,将所提出的算法与人工蜂群算法和模拟退火算法进行了比较。最后,根据实验结果对结果进行了分析和讨论。
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引用次数: 0
CG-FlexBeamOpt: Advanced solution methodology for high throughput GEO satellite beam laydown and resource allocation CG-FlexBeamOpt:用于高吞吐量地球同步轨道卫星波束铺设和资源分配的先进解决方案方法学
IF 1.7 4区 计算机科学 Q3 ENGINEERING, AEROSPACE Pub Date : 2024-04-09 DOI: 10.1002/sat.1513
Ryan Li, Angus Gaudry, Vicky Mak-Hau

Modern satellite communication systems are designed to serve dispersed users with changing operational requirements. Allocating resources to meet these requirements becomes highly complex when the size, location, and allocated frequency of satellite beams are flexible. We developed solution techniques that generate feasible beam patterns and frequency allocations to maximize the total demand met across all users. In our approach, an integer program selects an optimal set of beams from a heuristically generated pool of feasible candidate beams. The challenge is in how to efficiently build a pool of good quality candidate beams from exponentially many possible solutions. An innovative column generation-style heuristic to generate mathematically justifiable beams is presented to address this challenge. We also derived two other heuristic candidate beam generation algorithms to compare and contrast performance and robustness characteristics of different algorithmic choices. We tested the performance of our three new approaches on 12 operational instances that vary in user distribution, user numbers, and demand distribution. While the methods performed differently under varying operational scenarios, the column generation-based methods provided the best trade-off between computation time and solution quality in most cases. We further tested our two best performing algorithms for scalability. Our column generation-based methods were able to provide good quality solutions with up to 400 beams and 5,000 users. Our work provides valuable insights for real-life implementation: an end-user of our system can select the solution approach based on their business need, computational (time) budget, and the desired solution quality.

摘要现代卫星通信系统的设计目的是为业务需求不断变化的分散用户提供服务。当卫星波束的大小、位置和分配频率具有灵活性时,为满足这些要求而分配资源就变得非常复杂。我们开发了解决方案技术,生成可行的波束模式和频率分配,最大限度地满足所有用户的总需求。在我们的方法中,整数程序从启发式生成的可行候选波束库中选择一组最佳波束。我们面临的挑战是如何从指数级的众多可能解决方案中有效地建立一个优质候选波束库。为解决这一难题,我们提出了一种创新的列生成式启发式方法,用于生成数学上合理的横梁。我们还推导出另外两种启发式候选波束生成算法,以比较和对比不同算法选择的性能和鲁棒性特征。我们在用户分布、用户数量和需求分布各不相同的 12 个运行实例中测试了三种新方法的性能。虽然这些方法在不同的运行场景下表现各异,但在大多数情况下,基于列生成的方法在计算时间和解决方案质量之间实现了最佳权衡。我们进一步测试了两种性能最好的算法的可扩展性。我们基于柱生成的方法能够在多达 400 个光束和 5000 个用户的情况下提供高质量的解决方案。我们的工作为现实生活的实施提供了宝贵的见解:我们系统的最终用户可以根据他们的业务需求、计算(时间)预算和所需的解决方案质量来选择解决方案方法。
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引用次数: 0
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International Journal of Satellite Communications and Networking
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