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CN111835401B - Method for joint optimization of wireless resources and paths in unmanned aerial vehicle communication network - Google Patents

Method for joint optimization of wireless resources and paths in unmanned aerial vehicle communication network Download PDF

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CN111835401B
CN111835401B CN202010503621.7A CN202010503621A CN111835401B CN 111835401 B CN111835401 B CN 111835401B CN 202010503621 A CN202010503621 A CN 202010503621A CN 111835401 B CN111835401 B CN 111835401B
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CN111835401A (en
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张海君
李亚博
隆克平
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University of Science and Technology Beijing USTB
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/1853Satellite systems for providing telephony service to a mobile station, i.e. mobile satellite service
    • H04B7/18539Arrangements for managing radio, resources, i.e. for establishing or releasing a connection
    • H04B7/18543Arrangements for managing radio, resources, i.e. for establishing or releasing a connection for adaptation of transmission parameters, e.g. power control
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/18578Satellite systems for providing broadband data service to individual earth stations
    • H04B7/18595Arrangements for adapting broadband applications to satellite systems
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/542Allocation or scheduling criteria for wireless resources based on quality criteria using measured or perceived quality
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention provides a method for joint optimization of wireless resources and paths in an unmanned aerial vehicle communication network, which can improve the frequency spectrum utilization rate and improve the energy efficiency of the unmanned aerial vehicle wireless communication network. The method comprises the following steps: s1, dividing the flight path of the unmanned aerial vehicle in the flight period into a plurality of sub periods; s2, allocating channels to the end users in each sub-period; s3, according to the channel distribution result, calculating the approximate closed-form solution of the terminal user power, and distributing the power for the terminal user according to the closed-form solution; s4, establishing the path optimization problem as a convex optimization problem according to the channel and power distribution result, and performing path optimization according to the established convex optimization problem; and S5, returning to S2 for iterative optimization according to the power distribution result and the optimized path until the energy efficiency value is not changed or the iteration number reaches the maximum value of the iteration number, and obtaining the optimal channel and power distribution scheme and the optimal path optimization scheme. The invention relates to the technical field of unmanned aerial vehicle communication.

Description

一种无人机通信网络中的无线资源与路径联合优化的方法A method for joint optimization of wireless resources and paths in UAV communication networks

技术领域technical field

本发明涉及无人机通信技术领域,特别是指一种无人机通信网络中的无线资源与路径联合优化的方法。The invention relates to the technical field of unmanned aerial vehicle communication, in particular to a method for joint optimization of wireless resources and paths in an unmanned aerial vehicle communication network.

背景技术Background technique

作为新近衍生的无线通信网络,无人机无线通信网络越来越受到学术界和工业界广泛的关注,有望成为未来灵活普遍的辅助通信方式。与传统的无线蜂窝网络相比,无人机通信网络具有成本低廉、易于部署、机动性强、用途广泛等显著优势,因此在军事和民用领域展现出了巨大的应用潜力。根据统计数据显示,明年将投入使用的无人机数量可能达到2900万架,如此庞大数量的无人机,将催生出更多更有意义的研究。As a newly derived wireless communication network, UAV wireless communication network has attracted more and more attention from academia and industry, and is expected to become a flexible and universal auxiliary communication method in the future. Compared with traditional wireless cellular networks, UAV communication networks have significant advantages such as low cost, easy deployment, high mobility, and wide range of uses, so they show great application potential in military and civilian fields. According to statistics, the number of drones that will be put into use next year may reach 29 million. Such a large number of drones will spawn more and more meaningful research.

传统无人机通信网络需要人工路线干预,在未来无线通信网络场景中,无人机的使用将更加频繁,同时需要更加灵活自由的飞行为地面用户提供辅助通信服务。而且,无人机通信的加入必定会加剧稀缺的频谱资源争夺,因此提高频谱利用率是十分必要的。The traditional UAV communication network requires manual route intervention. In the future wireless communication network scenario, the use of UAVs will be more frequent, and more flexible and free flight is required to provide auxiliary communication services for ground users. Moreover, the addition of UAV communication will inevitably intensify the competition for scarce spectrum resources, so it is necessary to improve spectrum utilization.

发明内容SUMMARY OF THE INVENTION

本发明实施例提供了一种无人机通信网络中的无线资源与路径联合优化的方法,能够提高频谱利用率并且提高无人机无线通信网络的能量效率。所述技术方案如下:The embodiments of the present invention provide a method for jointly optimizing wireless resources and paths in a UAV communication network, which can improve the spectrum utilization rate and improve the energy efficiency of the UAV wireless communication network. The technical solution is as follows:

本发明实施例提供一种无人机通信网络中的无线资源与路径联合优化的方法,包括:An embodiment of the present invention provides a method for jointly optimizing wireless resources and paths in a UAV communication network, including:

S1,将飞行周期内无人机的飞行路径划分为若干个子周期;S1, dividing the flight path of the UAV in the flight cycle into several sub-cycles;

S2,在每个子周期内,将信道分配给终端用户;S2, in each sub-period, assign the channel to the end user;

S3,根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;S3, according to the channel allocation result, obtain the approximate closed-form solution of the power of the terminal user, and allocate power to the terminal user according to the closed-form solution;

S4,根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化;S4, according to the channel and power allocation results, the path optimization problem is established as a convex optimization problem, and the path optimization is performed according to the established convex optimization problem;

S5,根据功率分配结果和优化后的路径,返回S2进行迭代优化,直至能量效率数值不再变化或者迭代次数达到迭代次数最大值,得到最优的信道和功率分配方案及路径优化方案。S5, according to the power allocation result and the optimized path, return to S2 for iterative optimization, until the energy efficiency value does not change or the number of iterations reaches the maximum number of iterations, and the optimal channel and power allocation scheme and path optimization scheme are obtained.

进一步地,所述将信道分配给终端用户包括:Further, allocating the channel to the end user includes:

在每个子周期内,根据信道增益最大化原则,将信道分配给增益最大的终端用户。In each sub-period, according to the principle of channel gain maximization, the channel is allocated to the end user with the maximum gain.

进一步地,增益计算公式为:Further, the gain calculation formula is:

Figure BDA0002525754460000021
Figure BDA0002525754460000021

其中,gk,m表示终端用户m在第k个子周期内的信道增益,ε为距离等于1时的路径损耗因子,hk,m为终端用户m在第k个子周期内与无人机的距离where g k,m is the channel gain of end user m in the kth subcycle, ε is the path loss factor when the distance is equal to 1, h k,m is the distance between end user m and the UAV in the kth subcycle distance

进一步地,所述根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率包括:Further, obtaining an approximate closed-form solution of the power of the terminal user according to the channel allocation result, and allocating power to the terminal user according to the closed-form solution includes:

根据信道分配结果,利用拉格朗日对偶函数求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;其中,According to the channel allocation result, the approximate closed-form solution of the end-user power is obtained by using the Lagrangian dual function, and the end-user power is allocated according to the closed-form solution; where,

在第k个子周期内的终端用户m的功率的近似闭式解表示为:The approximate closed-form solution for the power of end user m in the kth subcycle is expressed as:

Figure BDA0002525754460000022
Figure BDA0002525754460000022

其中,pk,m为终端用户m在第k个子周期内的功率,

Figure BDA0002525754460000023
为终端用户m在第k个子周期内迭代计算的信噪比,B为带宽,ηi-1为第i-1次迭代过程中的能量效率,形式[p]+=max{p,0},λk,m和ωk都表示拉格朗日因子。where p k,m is the power of end user m in the kth subcycle,
Figure BDA0002525754460000023
is the signal-to-noise ratio calculated iteratively for the end user m in the kth subcycle, B is the bandwidth, η i-1 is the energy efficiency during the i-1th iteration, in the form [p] + =max{p,0} , λ k, m and ω k all represent Lagrangian factors.

进一步地,信噪比

Figure BDA0002525754460000024
表示为:Further, the signal-to-noise ratio
Figure BDA0002525754460000024
Expressed as:

Figure BDA0002525754460000025
Figure BDA0002525754460000025

其中,pk,m′为终端用户m′在第k个子周期内的功率,gk,m表示终端用户m在第k个子周期内的信道增益,σ2为噪声,Mk为第k个子周期内占用信道的用户数量,

Figure BDA0002525754460000031
为终端用户m收到的来自终端用户m′的同信道干扰。where p k,m' is the power of the terminal user m' in the kth subcycle, g k,m is the channel gain of the terminal user m in the kth subcycle, σ2 is the noise, and Mk is the kth subcycle The number of users occupying the channel during the period,
Figure BDA0002525754460000031
is the co-channel interference from end user m' received by end user m.

进一步地,所述根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化包括:Further, establishing the path optimization problem as a convex optimization problem according to the channel and power allocation results, and performing the path optimization according to the established convex optimization problem includes:

根据信道、功率分配结果,使用近似凸逼近的原则,将路径优化问题建立成一个如下式所示的凸优化问题:According to the channel and power allocation results, using the principle of approximate convex approximation, the path optimization problem is established as a convex optimization problem as shown in the following formula:

Figure BDA0002525754460000032
Figure BDA0002525754460000032

其中,M表示终端用户的数目;K表示子周期的数目;

Figure BDA0002525754460000033
为用户m在第k个子周期内的数据量下界;
Figure BDA0002525754460000034
Figure BDA0002525754460000035
为终端用户m在第k个子周期内的数据速率经过引入缓释变量lk,m后转化的数据速率表达式,σ2为噪声,pk,m′为用户m′在第k个子周期内的功率,ε为路径损耗因子,lk,m为缓释变量,h为无人机飞行高度;B为网络带宽;ηi-1为第i-1次迭代过程中的能量效率;E为终端用户的总功率;Wherein, M represents the number of end users; K represents the number of sub-cycles;
Figure BDA0002525754460000033
is the lower bound of the data volume of user m in the kth subcycle;
Figure BDA0002525754460000034
Figure BDA0002525754460000035
is the data rate expression of the terminal user m in the kth sub-cycle after introducing the slow-release variable l k,m , σ 2 is the noise, p k,m′ is the user m’ in the kth sub-cycle ε is the path loss factor, l k,m is the slow release variable, h is the flying height of the UAV; B is the network bandwidth; η i-1 is the energy efficiency during the i-1th iteration; E is the the total power of the end user;

根据得到的凸优化问题,利用凸优化工具箱进行路径优化。According to the obtained convex optimization problem, the path optimization is carried out using the convex optimization toolbox.

进一步地,所述凸优化问题的限制条件包括:Further, the constraints of the convex optimization problem include:

Figure BDA0002525754460000036
Figure BDA0002525754460000036

Figure BDA0002525754460000037
Figure BDA0002525754460000037

其中,γmin为最小数据速率,

Figure BDA0002525754460000038
为无人机在t次迭代优化过程中第k个子周期内的位置,um为终端用户m的位置,qk为无人机在下次迭代中第k个子周期内的位置。where γ min is the minimum data rate,
Figure BDA0002525754460000038
is the position of the UAV in the k-th sub-cycle during the t iterations of the optimization process, um is the position of the end user m , and q k is the position of the UAV in the k-th sub-cycle in the next iteration.

本发明的上述技术方案的有益效果如下:The beneficial effects of the above-mentioned technical solutions of the present invention are as follows:

上述方案中,将飞行周期内无人机的飞行路径划分为若干个子周期;在每个子周期内,将信道分配给终端用户,根据信道分配结果,利用拉格朗日对偶函数求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率,从而在每个子周期内实现无人机无线通信网络中的无线资源优化分配,即无线信道与终端功率的优化分配;根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化;根据功率分配结果和优化后的路径,返回执行信道分配操作,这次信道分配使用的网络参数均为已经优化后的量,得出新的信道分配结果后继续执行功率分配操作和路径优化操作进行循环优化,直至达到阈值或者能量效率收敛,得到最优的信道和功率分配方案及路径优化方案。这样,通过优化后的信道和功率分配方案迭代优化无人机的飞行路径,能够提高频谱利用率并且提高无人机无线通信网络的能量效率。In the above scheme, the flight path of the UAV in the flight cycle is divided into several sub-cycles; in each sub-cycle, the channel is allocated to the end user, and according to the channel allocation result, the Lagrange dual function is used to obtain the end user power. The approximate closed-form solution of , and allocate power to terminal users according to the closed-form solution, so as to realize the optimal allocation of wireless resources in the UAV wireless communication network in each sub-cycle, that is, the optimal allocation of wireless channel and terminal power; according to the channel, Based on the power allocation result, the path optimization problem is established as a convex optimization problem, and the path optimization is carried out according to the established convex optimization problem; according to the power allocation result and the optimized path, the channel allocation operation is returned and the network parameters used for this channel allocation are returned. All are the quantities that have been optimized. After obtaining the new channel allocation results, continue to perform the power allocation operation and the path optimization operation for cyclic optimization until the threshold is reached or the energy efficiency converges, and the optimal channel and power allocation scheme and path optimization scheme are obtained. . In this way, by iteratively optimizing the flight path of the UAV through the optimized channel and power allocation scheme, the spectrum utilization rate can be improved and the energy efficiency of the UAV wireless communication network can be improved.

附图说明Description of drawings

图1为本发明实施例提供的无人机通信网络中的无线资源与路径联合优化的方法的流程示意图;1 is a schematic flowchart of a method for jointly optimizing wireless resources and paths in a UAV communication network according to an embodiment of the present invention;

图2为本发明实施例提供的无人机通信网络系统架构的结构示意图。FIG. 2 is a schematic structural diagram of an unmanned aerial vehicle communication network system architecture provided by an embodiment of the present invention.

具体实施方式Detailed ways

为使本发明要解决的技术问题、技术方案和优点更加清楚,下面将结合附图及具体实施例进行详细描述。In order to make the technical problems, technical solutions and advantages to be solved by the present invention more clear, the following will be described in detail with reference to the accompanying drawings and specific embodiments.

如图1所示,本发明实施例提供的无人机通信网络中的无线资源与路径联合优化的方法,包括:As shown in FIG. 1 , the method for joint optimization of wireless resources and paths in a UAV communication network provided by an embodiment of the present invention includes:

S1,将飞行周期内无人机的飞行路径划分为若干个子周期;S1, dividing the flight path of the UAV in the flight cycle into several sub-cycles;

S2,在每个子周期内,将信道分配给终端用户;S2, in each sub-period, assign the channel to the end user;

S3,根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;S3, according to the channel allocation result, obtain the approximate closed-form solution of the power of the terminal user, and allocate power to the terminal user according to the closed-form solution;

S4,根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化;S4, according to the channel and power allocation results, the path optimization problem is established as a convex optimization problem, and the path optimization is performed according to the established convex optimization problem;

S5,根据功率分配结果和优化后的路径,返回S2进行迭代优化,直至能量效率数值不再变化或者迭代次数达到迭代次数最大值,得到最优的信道和功率分配方案及路径优化方案。S5, according to the power allocation result and the optimized path, return to S2 for iterative optimization, until the energy efficiency value does not change or the number of iterations reaches the maximum number of iterations, and the optimal channel and power allocation scheme and path optimization scheme are obtained.

本发明实施例所述的无人机通信网络中的无线资源与路径联合优化的方法,将飞行周期内无人机的飞行路径划分为若干个子周期;在每个子周期内,将信道分配给终端用户,根据信道分配结果,利用拉格朗日对偶函数求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率,从而在每个子周期内实现无人机无线通信网络中的无线资源优化分配,即无线信道与终端用户功率的优化分配;根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化;根据功率分配结果和优化后的路径,返回执行信道分配操作,这次信道分配使用的网络参数均为已经优化后的量,得出新的信道分配结果后继续执行功率分配操作和路径优化操作进行循环优化,直至达到阈值或者能量效率收敛,得到最优的信道和功率分配方案及路径优化方案。这样,通过优化后的信道和功率分配方案迭代优化无人机的飞行路径,能够提高频谱利用率并且提高无人机无线通信网络的能量效率。In the method for jointly optimizing wireless resources and paths in a UAV communication network according to the embodiment of the present invention, the flight path of the UAV in the flight cycle is divided into several sub-cycles; in each sub-cycle, channels are allocated to terminals Users, according to the channel allocation results, use the Lagrangian dual function to obtain the approximate closed-form solution of the end-user power, and allocate power to the end-users according to the closed-form solution, so as to realize the UAV wireless communication network in each sub-period. According to the channel and power allocation results, the path optimization problem is established as a convex optimization problem, and the path optimization is carried out according to the established convex optimization problem; according to the power allocation results and the optimized path, and return to perform the channel allocation operation. The network parameters used in this channel allocation are all optimized quantities. After obtaining a new channel allocation result, continue to perform the power allocation operation and the path optimization operation for cyclic optimization until When the threshold is reached or the energy efficiency converges, the optimal channel and power allocation scheme and path optimization scheme are obtained. In this way, by iteratively optimizing the flight path of the UAV through the optimized channel and power allocation scheme, the spectrum utilization rate can be improved and the energy efficiency of the UAV wireless communication network can be improved.

本实施例中,图2为同时包括无人机和终端用户同频部署的无人机通信网络系统架构图,该系统架构图包括:一个无人机基站和多个终端用户,考虑无人机动态变化的复杂性,信道部分只考虑一个子信道,无人机在不同子周期内只占用这一个子信道,但是接入的终端用户会根据信道分配部分的增益最大化原则在每个子周期内选取最合适的终端用户。In this embodiment, FIG. 2 is an architecture diagram of a UAV communication network system including a UAV and end users deployed at the same frequency. The system architecture diagram includes: a UAV base station and multiple end users. Considering the UAV The complexity of dynamic changes, only one sub-channel is considered in the channel part, and the UAV only occupies this sub-channel in different sub-cycles, but the end user accessing will use the channel allocation part to maximize the gain in each sub-cycle. Choose the most appropriate end user.

本实施例中,在S1之前,需初始化一个完整飞行周期内的无人机的路径、终端用户位置及路径损耗因子、初始功率等。In this embodiment, before S1, the path of the UAV, the position of the end user, the path loss factor, the initial power, etc. of the UAV in a complete flight cycle need to be initialized.

本实施例中,在S1中,将无人机完整飞行周期内的飞行路径划分为若干个子周期,这样,将无人机的飞行路径设定成周期性飞行的闭环路径。In this embodiment, in S1, the flight path of the UAV in the complete flight cycle is divided into several sub-cycles, so that the flight path of the UAV is set as a closed-loop path of periodic flight.

本实施例中,无人机的飞行周期被细分为若干个子周期,在每个子周期内无人机被视为是瞬间静止的,所有子周期的飞行路径用于表示无人机的动态位置,无人机与地面的终端用户仅考虑视距影响,也就是无人机信息传输信道仅受路径损耗的作用。In this embodiment, the flight cycle of the UAV is subdivided into several sub-cycles, and the UAV is considered to be instantaneously stationary in each sub-cycle, and the flight paths of all sub-cycles are used to represent the dynamic position of the UAV , the end users of the UAV and the ground only consider the influence of the line-of-sight, that is, the UAV information transmission channel is only affected by the path loss.

在前述无人机通信网络中的无线资源与路径联合优化的方法的具体实施方式中,进一步地,所述将信道分配给终端用户包括:In the specific embodiment of the aforementioned method for joint optimization of wireless resources and paths in a UAV communication network, further, the assigning channels to end users includes:

在每个子周期内,根据信道增益最大化原则,将信道分配给增益最大的终端用户。In each sub-period, according to the principle of channel gain maximization, the channel is allocated to the end user with the maximum gain.

本实施例中,增益计算公式为:In this embodiment, the gain calculation formula is:

Figure BDA0002525754460000051
Figure BDA0002525754460000051

其中,gk,m表示终端用户m在第k个子周期内的信道增益,ε为距离等于1时的路径损耗因子,hk,m为终端用户m在第k个子周期内与无人机的距离。where g k,m is the channel gain of end user m in the kth subcycle, ε is the path loss factor when the distance is equal to 1, h k,m is the distance between end user m and the UAV in the kth subcycle distance.

本实施例中,根据公式

Figure BDA0002525754460000061
可以得到在每个子周期内的信道分配结果。In this embodiment, according to the formula
Figure BDA0002525754460000061
The channel assignment results in each sub-period can be obtained.

在前述无人机通信网络中的无线资源与路径联合优化的方法的具体实施方式中,进一步地,所述根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率包括:In the specific implementation of the method for joint optimization of wireless resources and paths in the above-mentioned UAV communication network, further, according to the channel allocation result, an approximate closed-form solution of the power of the end user is obtained, and according to the closed-form solution, End user allocated power includes:

根据信道分配结果,利用拉格朗日对偶函数求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;其中,According to the channel allocation result, the approximate closed-form solution of the end-user power is obtained by using the Lagrangian dual function, and the end-user power is allocated according to the closed-form solution; where,

在第k个子周期内的终端用户m的功率的近似闭式解表示为:The approximate closed-form solution for the power of end user m in the kth subcycle is expressed as:

Figure BDA0002525754460000062
Figure BDA0002525754460000062

而,and,

Figure BDA0002525754460000063
Figure BDA0002525754460000063

其中,pk,m、pk,m′为终端用户m、m′在第k个子周期内的功率,

Figure BDA0002525754460000064
为终端用户m在第k个子周期内迭代计算的信噪比,B为带宽,ηi-1为第i-1次迭代过程中的能量效率,形式[p]+=max{p,0},λk,m和ωk都表示拉格朗日因子,gk,m表示终端用户m在第k个子周期内的信道增益,σ2为噪声,Mk为第k个子周期内占用信道的用户数量,
Figure BDA0002525754460000065
为终端用户m收到的来自终端用户m′的同信道干扰。where p k,m and p k,m' are the powers of end users m and m' in the kth sub-cycle,
Figure BDA0002525754460000064
is the signal-to-noise ratio calculated iteratively for the end user m in the kth subcycle, B is the bandwidth, η i-1 is the energy efficiency during the i-1th iteration, in the form [p] + =max{p,0} , λ k,m and ω k are Lagrangian factors, g k,m is the channel gain of end user m in the kth sub-cycle, σ 2 is the noise, M k is the occupied channel in the k-th sub-cycle amount of users,
Figure BDA0002525754460000065
is the co-channel interference from end user m' received by end user m.

本实施例中,公式

Figure BDA0002525754460000066
计算的是信道分配以后,在第k个子周期内的终端用户m的功率的近似闭式解;如果终端用户不占用第k个子周期内的信道则不求功率。In this example, the formula
Figure BDA0002525754460000066
What is calculated is the approximate closed-form solution of the power of the terminal user m in the kth subcycle after the channel allocation; if the end user does not occupy the channel in the kth subcycle, the power is not calculated.

本实施例中,形式[p]+=max{p,0}用于表示符号[·]+的含义,就是形式[p]+中,p为正值,则[p]+就等于p,否则[p]+就等于0。In this embodiment, the form [p] + =max{p,0} is used to represent the meaning of the symbol [ ] + , that is, in the form [p] + , p is a positive value, then [p] + is equal to p, Otherwise [p] + is equal to 0.

在前述无人机通信网络中的无线资源与路径联合优化的方法的具体实施方式中,进一步地,所述根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化包括:In the specific implementation of the method for joint optimization of wireless resources and paths in the aforementioned UAV communication network, further, according to the channel and power allocation results, the path optimization problem is established as a convex optimization problem, and according to the established Convex optimization problems for path optimization include:

根据信道、功率分配结果,使用近似凸逼近的原则,将路径优化问题建立成一个如下式所示的凸优化问题:According to the channel and power allocation results, using the principle of approximate convex approximation, the path optimization problem is established as a convex optimization problem as shown in the following formula:

Figure BDA0002525754460000071
Figure BDA0002525754460000071

其中,M表示终端用户的数目;K表示子周期的数目;

Figure BDA0002525754460000072
为用户m在第k个子周期内的数据量下界;
Figure BDA0002525754460000073
Figure BDA0002525754460000074
为终端用户m在第k个子周期内的数据速率经过引入缓释变量lk,m后转化的数据速率表达式,σ2为噪声,pk,m′为用户m′在第k个子周期内的功率,ε为路径损耗因子,lk,m为缓释变量,h为无人机飞行高度;B为网络带宽;ηi-1为第i-1次迭代过程中的能量效率;E为终端用户的总功率;Wherein, M represents the number of end users; K represents the number of sub-cycles;
Figure BDA0002525754460000072
is the lower bound of the data volume of user m in the kth subcycle;
Figure BDA0002525754460000073
Figure BDA0002525754460000074
is the data rate expression of the terminal user m in the kth sub-cycle after introducing the slow-release variable l k,m , σ 2 is the noise, p k,m′ is the user m’ in the kth sub-cycle ε is the path loss factor, l k,m is the slow release variable, h is the flying height of the UAV; B is the network bandwidth; η i-1 is the energy efficiency during the i-1th iteration; E is the the total power of the end user;

根据得到的凸优化问题,利用凸优化工具箱进行路径优化。According to the obtained convex optimization problem, the path optimization is carried out using the convex optimization toolbox.

本实施例中,公式

Figure BDA0002525754460000075
计算的是信道分配以后,在第k个子周期内的终端用户m的数据速率经过引入缓释变量lk,m后转化的数据速率;如果终端用户不占用第k个子周期内的信道,则
Figure BDA0002525754460000076
为0。In this example, the formula
Figure BDA0002525754460000075
After the channel allocation, the data rate of the end user m in the kth subcycle is transformed by introducing the slow release variable l k,m ; if the end user does not occupy the channel in the kth subcycle, then
Figure BDA0002525754460000076
is 0.

本实施例中,根据得到的凸优化问题,同时限定无人机的起始与终点位置相同,利用凸优化工具箱可以得到具体的路径优化方案。In this embodiment, according to the obtained convex optimization problem, the starting and ending positions of the UAV are defined to be the same, and a specific path optimization scheme can be obtained by using the convex optimization toolbox.

在前述无人机通信网络中的无线资源与路径联合优化的方法的具体实施方式中,进一步地,所述凸优化问题的限制条件包括:In the specific implementation of the method for joint optimization of wireless resources and paths in the aforementioned UAV communication network, further, the constraints of the convex optimization problem include:

Figure BDA0002525754460000077
Figure BDA0002525754460000077

Figure BDA0002525754460000078
Figure BDA0002525754460000078

其中,γmin为最小数据速率,

Figure BDA0002525754460000079
为无人机在t次迭代优化过程中第k个子周期内的位置,um为终端用户m的位置,qk为无人机在下次迭代中第k个子周期内的位置。where γ min is the minimum data rate,
Figure BDA0002525754460000079
is the position of the UAV in the k-th sub-cycle during the t iterations of the optimization process, um is the position of the end user m , and q k is the position of the UAV in the k-th sub-cycle in the next iteration.

本实施例提供的无人机通信网络中的无线资源与路径联合优化的方法,能够在满足用户最小数据速率以及周期性飞行的前提下有效提高频谱利用率并且提高无人机无线通信网络的能量效率。The method for joint optimization of wireless resources and paths in a UAV communication network provided by this embodiment can effectively improve the spectrum utilization rate and the energy of the UAV wireless communication network on the premise of satisfying the minimum data rate of the user and periodic flight. efficiency.

以上所述是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明所述原理的前提下,还可以做出若干改进和润饰,这些改进和润饰也应视为本发明的保护范围。The above are the preferred embodiments of the present invention. It should be pointed out that for those skilled in the art, without departing from the principles of the present invention, several improvements and modifications can be made. These improvements and modifications It should also be regarded as the protection scope of the present invention.

Claims (6)

1.一种无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,包括:1. a method for joint optimization of wireless resources and paths in an unmanned aerial vehicle communication network, is characterized in that, comprising: S1,将飞行周期内无人机的飞行路径划分为若干个子周期;S1, dividing the flight path of the UAV in the flight cycle into several sub-cycles; S2,在每个子周期内,将信道分配给终端用户;S2, in each sub-period, assign the channel to the end user; S3,根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;S3, according to the channel allocation result, obtain the approximate closed-form solution of the power of the terminal user, and allocate power to the terminal user according to the closed-form solution; S4,根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化;S4, according to the channel and power allocation results, the path optimization problem is established as a convex optimization problem, and the path optimization is performed according to the established convex optimization problem; S5,根据功率分配结果和优化后的路径,返回S2进行迭代优化,直至能量效率数值不再变化或者迭代次数达到迭代次数最大值,得到最优的信道和功率分配方案及路径优化方案;S5, according to the power allocation result and the optimized path, return to S2 for iterative optimization, until the energy efficiency value does not change or the number of iterations reaches the maximum number of iterations, and the optimal channel and power allocation scheme and path optimization scheme are obtained; 其中,所述根据信道分配结果,求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率包括:Wherein, according to the channel allocation result, obtaining an approximate closed-form solution of the power of the terminal user, and allocating power to the terminal user according to the closed-form solution includes: 根据信道分配结果,利用拉格朗日对偶函数求出终端用户功率的近似闭式解,并根据闭式解为终端用户分配功率;其中,According to the channel allocation result, the approximate closed-form solution of the end-user power is obtained by using the Lagrangian dual function, and the end-user power is allocated according to the closed-form solution; where, 在第k个子周期内的终端用户m的功率的近似闭式解表示为:The approximate closed-form solution for the power of end user m in the kth subcycle is expressed as:
Figure FDA0003036161980000011
Figure FDA0003036161980000011
其中,pk,m为终端用户m在第k个子周期内的功率,
Figure FDA0003036161980000012
为终端用户m在第k个子周期内迭代计算的信噪比,B为带宽,ηi-1为第i-1次迭代过程中的能量效率,形式[p]+=max{p,0},λk,m和ωk都表示拉格朗日因子。
where p k,m is the power of end user m in the kth subcycle,
Figure FDA0003036161980000012
is the signal-to-noise ratio calculated iteratively for the end user m in the kth subcycle, B is the bandwidth, η i-1 is the energy efficiency during the i-1th iteration, in the form [p] + =max{p,0} , λ k, m and ω k all represent Lagrangian factors.
2.根据权利要求1所述的无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,所述将信道分配给终端用户包括:2. The method for joint optimization of wireless resources and paths in a UAV communication network according to claim 1, wherein the assigning a channel to an end user comprises: 在每个子周期内,根据信道增益最大化原则,将信道分配给增益最大的终端用户。In each sub-period, according to the principle of channel gain maximization, the channel is allocated to the end user with the maximum gain. 3.根据权利要求2所述的无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,增益因子计算公式为:3. the method for joint optimization of wireless resources and path in the unmanned aerial vehicle communication network according to claim 2, is characterized in that, gain factor calculation formula is:
Figure FDA0003036161980000021
Figure FDA0003036161980000021
其中,gk,m表示终端用户m在第k个子周期内的信道增益因子,ε为距离等于1时的路径损耗因子,hk,m为终端用户m在第k个子周期内与无人机的距离。where g k,m is the channel gain factor of end user m in the kth subcycle, ε is the path loss factor when the distance is equal to 1, h k,m is the communication between end user m and the UAV in the kth subcycle the distance.
4.根据权利要求1所述的无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,信噪比
Figure FDA0003036161980000022
表示为:
4. The method for joint optimization of wireless resources and paths in a UAV communication network according to claim 1, wherein the signal-to-noise ratio is
Figure FDA0003036161980000022
Expressed as:
Figure FDA0003036161980000023
Figure FDA0003036161980000023
其中,pk,m′为终端用户m′在第k个子周期内的功率,|gk,m|2表示终端用户m在第k个子周期内的信道增益,σ2为噪声,Mk为第k个子周期内占用信道的用户数量,
Figure FDA0003036161980000024
为终端用户m收到的来自终端用户m′的同信道干扰。
where p k,m' is the power of the terminal user m' in the kth subcycle, |g k,m | 2 represents the channel gain of the terminal user m in the kth subcycle, σ 2 is the noise, and M k is The number of users occupying the channel in the kth subcycle,
Figure FDA0003036161980000024
is the co-channel interference from end user m' received by end user m.
5.根据权利要求1所述的无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,所述根据信道、功率分配结果,将路径优化问题建立成凸优化问题,并根据建立成的凸优化问题进行路径优化包括:5. The method for joint optimization of wireless resources and paths in a UAV communication network according to claim 1, wherein the path optimization problem is established as a convex optimization problem according to channel and power allocation results, and according to The established convex optimization problem for path optimization includes: 根据信道、功率分配结果,使用近似凸逼近的原则,将路径优化问题建立成一个如下式所示的凸优化问题:According to the channel and power allocation results, using the principle of approximate convex approximation, the path optimization problem is established as a convex optimization problem as shown in the following formula:
Figure FDA0003036161980000025
Figure FDA0003036161980000025
其中,M表示终端用户的数目;K表示子周期的数目;
Figure FDA0003036161980000026
为用户m在第k个子周期内的数据量下界;
Figure FDA0003036161980000027
Figure FDA0003036161980000028
为终端用户m在第k个子周期内的数据速率经过引入缓释变量lk,m后转化的数据速率表达式,σ2为噪声,pk,m′为用户m′在第k个子周期内的功率,ε为路径损耗因子,lk,m为缓释变量,h为无人机飞行高度;B为网络带宽;ηi-1为第i-1次迭代过程中的能量效率;E为终端用户的总功率;
Wherein, M represents the number of end users; K represents the number of sub-cycles;
Figure FDA0003036161980000026
is the lower bound of the data volume of user m in the kth subcycle;
Figure FDA0003036161980000027
Figure FDA0003036161980000028
is the data rate expression of the terminal user m in the kth sub-cycle after introducing the slow-release variable l k,m , σ 2 is the noise, p k,m′ is the user m’ in the kth sub-cycle ε is the path loss factor, l k,m is the slow release variable, h is the flying height of the UAV; B is the network bandwidth; η i-1 is the energy efficiency during the i-1th iteration; E is the the total power of the end user;
根据得到的凸优化问题,利用凸优化工具箱进行路径优化。According to the obtained convex optimization problem, the path optimization is carried out using the convex optimization toolbox.
6.根据权利要求5所述的无人机通信网络中的无线资源与路径联合优化的方法,其特征在于,所述凸优化问题的限制条件包括:6. The method for joint optimization of wireless resources and paths in a UAV communication network according to claim 5, wherein the constraints of the convex optimization problem include:
Figure FDA0003036161980000031
Figure FDA0003036161980000031
Figure FDA0003036161980000032
Figure FDA0003036161980000032
其中,γmin为最小数据速率,
Figure FDA0003036161980000033
为无人机在t次迭代优化过程中第k个子周期内的位置,um为终端用户m的位置,qk为无人机在下次迭代中第k个子周期内的位置。
where γ min is the minimum data rate,
Figure FDA0003036161980000033
is the position of the UAV in the k-th sub-cycle during the t iterations of the optimization process, um is the position of the end user m , and q k is the position of the UAV in the k-th sub-cycle in the next iteration.
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