CN106788937A - A kind of pilot distribution method for taking into account fairness between Massive mimo systems overall performance and user - Google Patents
A kind of pilot distribution method for taking into account fairness between Massive mimo systems overall performance and user Download PDFInfo
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Abstract
本发明涉及一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法,以最大化系统速率乘积为优化目标,在解决本发明中的优化问题时,采用了基于贪婪策略的导频分配方法,该贪婪的导频分配方法具备较低的复杂度,更有利于实现。因此本发明提出的导频分配方法可以实现在最大化系统整体和速率的情况下兼顾用户间的公平性,从而实现系统总体性能和用户间公平性的有效折中。
The present invention relates to a pilot allocation method that takes into account both the overall performance of the Massive MIMO system and the fairness among users. The optimization goal is to maximize the system rate product. When solving the optimization problem in the present invention, the pilot based on the greedy strategy is adopted. Allocation method, the greedy pilot allocation method has lower complexity and is more conducive to implementation. Therefore, the pilot allocation method proposed by the present invention can realize fairness among users while maximizing the overall system and rate, thereby achieving an effective compromise between overall system performance and fairness among users.
Description
技术领域technical field
本发明涉及一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法,属于通信系统技术领域。The invention relates to a pilot allocation method that takes into account both the overall performance of a Massive MIMO system and the fairness among users, and belongs to the technical field of communication systems.
背景技术Background technique
大规模天线技术(Massive MIMO技术)作为5G无线通信系统的关键技术之一,由于其具备提供更快、更强、更好的服务的能力,近年来受到越来越多研究者的关注。MassiveMIMO系统的性能会随着基站端天线数的增加而提升,但是这种性能的提升不是无限制的。TDD模式下,当基站端的天线数达到一定数目的时候,系统性能趋于饱和,此时导频污染成为限制系统性能的主要问题。导频污染问题的产生是由于共用相同导频的用户之间存在干扰,这种干扰不能通过简单地增加基站端的天线数来消除。研究表明,合理地分配导频可以有效地提升系统的性能。As one of the key technologies of 5G wireless communication system, massive antenna technology (Massive MIMO technology) has attracted more and more researchers' attention in recent years because of its ability to provide faster, stronger and better services. The performance of the Massive MIMO system will increase with the increase of the number of base station antennas, but this performance improvement is not unlimited. In TDD mode, when the number of antennas at the base station reaches a certain number, the system performance tends to be saturated. At this time, pilot pollution becomes the main problem that limits system performance. The problem of pilot pollution occurs because there is interference between users sharing the same pilot, which cannot be eliminated by simply increasing the number of antennas at the base station. Studies have shown that allocating pilots reasonably can effectively improve the performance of the system.
在已有的导频分配方案中,大多数工作是通过设计导频分配策略来最大化系统的总体和速率,即max-sumrate有些则会关注系统中的最小用户速率的提升,即max-min。关注系统总体和速率提升的导频设计方案通常只注重系统总体性能的最优,会使得信道状态良好的用户拥有更高的速率,而信道状态比较差的用户拥有更低的速率,从而拉大了用户间的速率差距而忽略了用户间的公平性;而关注系统中最小用户速率提升的导频分配方案通常是致力于提升系统中信道状态最差的那些用户的速率,从而大大降低了系统的整体体能。目前为止,几乎没有一种导频分配方案在提升系统整体性能的同时实现用户间公平性的兼顾。In the existing pilot allocation schemes, most of the work is to maximize the overall sum rate of the system by designing the pilot allocation strategy, that is, max-sumrate, and some will focus on the improvement of the minimum user rate in the system, that is, max-min . The pilot design scheme that focuses on the overall system and rate improvement usually only focuses on the optimization of the overall system performance, which will allow users with good channel conditions to have a higher rate, while users with poor channel conditions will have a lower rate, thus increasing the overall performance of the system. However, the pilot allocation scheme that focuses on the minimum user rate increase in the system is usually dedicated to improving the rate of those users with the worst channel conditions in the system, thus greatly reducing the system overall fitness. So far, there is almost no pilot allocation scheme that can achieve fairness among users while improving the overall performance of the system.
中国专利文献CN 105827273A公开了一种多小区大规模MIMO系统用户双天线导频干扰消除方法,将上行链路的导频污染和下行链路数据传输过程中的干扰通过考虑空间相关性和控制用户端的波束成型权值向量来减轻。同时将导频分配引入到前面所提的方法中来,提出了基于贪婪算法的导频分配策略,结合用户双天线装置,进一步的减轻了导频污染带来的影响,从而达到减轻信道估计误差,提升系统速率的目的。但是,该专利中优化目标是最大化系统和速率,关注的是系统整体性能的提升,这种最大化系统和速率的方法会严重损伤系统内用户间的公平性。该专利在用户端增加一根天线,可以利用空间复用增益有效提高上行信道估计的准确性,但是在用户端设备通常不适合放置多天线。Chinese patent document CN 105827273A discloses a dual-antenna pilot interference elimination method for users of a multi-cell massive MIMO system. The uplink pilot pollution and the interference in the downlink data transmission process are considered by considering spatial correlation and controlling user Beamforming weight vector at the end to alleviate. At the same time, the pilot allocation is introduced into the method mentioned above, and a pilot allocation strategy based on the greedy algorithm is proposed. Combined with the user's dual antenna device, the influence of pilot pollution is further reduced, so as to reduce the channel estimation error. , to increase the system speed. However, the optimization goal in this patent is to maximize the system and rate, and the focus is on improving the overall performance of the system. This method of maximizing the system and rate will seriously damage the fairness among users in the system. This patent adds an antenna to the user end, which can effectively improve the accuracy of uplink channel estimation by utilizing the spatial multiplexing gain, but it is usually not suitable to place multiple antennas on the user end equipment.
发明内容Contents of the invention
针对Massive MIMO系统中的导频污染问题,本发明提出了一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法。Aiming at the pilot pollution problem in the Massive MIMO system, the present invention proposes a pilot allocation method that takes into account both the overall performance of the Massive MIMO system and the fairness among users.
本发明通过构建关于导频分配的优化问题,提出了一种基于贪婪策略的导频分配方案,可以实现在最大化系统整体和速率并减弱导频污染的情况下,实现系统总体性能和用户间公平性的有效折中。The present invention proposes a pilot allocation scheme based on a greedy strategy by constructing an optimization problem about pilot allocation, which can realize overall system performance and user-to-user interaction while maximizing the overall sum rate of the system and reducing pilot pollution. Effective compromise of fairness.
发明概述:Summary of the invention:
本发明中导频分配的基本原则是同一小区中用相互正交的导频,不同小区间复用导频。本发明考虑基站端天线数趋于无穷的场景,在该场景下,导频污染问题只与用户到基站端的大尺度衰落因子有关。The basic principle of pilot allocation in the present invention is to use mutually orthogonal pilots in the same cell and multiplex pilots between different cells. The present invention considers the scenario where the number of antennas at the base station tends to be infinite, and in this scenario, the pilot pollution problem is only related to the large-scale fading factor from the user to the base station.
本发明的基本思想是每次迭代将每个小区中选出一个用户的所有可能性遍历一遍,选出使得用户组合中用户速率乘积最大的一个组合作为该次迭代的最优解,然后从系统中去除掉选出的用户,继续进行迭代直到所有的用户都被分配完导频为止。The basic idea of the present invention is to go through all the possibilities of selecting a user in each cell in each iteration, select the combination that makes the user rate product the largest in the user combination as the optimal solution for this iteration, and then obtain the optimal solution from the system Remove the selected users, and continue to iterate until all users are assigned pilots.
本发明的技术方案为:Technical scheme of the present invention is:
一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法,所述Massive MIMO系统包括L个等同的六边形小区,每个小区包括1个中心基站和K个用户,1个中心基站同时服务K个用户,所述Massive MIMO系统中可供分配的导频数为K个,具体步骤包括:A pilot allocation method that takes into account the overall performance of a Massive MIMO system and fairness among users. The Massive MIMO system includes L equivalent hexagonal cells, each cell includes a central base station and K users, and a central The base station serves K users at the same time, and the number of pilots available for allocation in the Massive MIMO system is K, and the specific steps include:
(1)根据用户到中心基站距离,求取Massive MIMO系统中各小区中的各个用户到各中心基站的大尺度衰落信息是指i小区中的用户k到j小区中的中心基站的大尺度衰落因子;(1) According to the distance from the user to the central base station, obtain the large-scale fading information from each user in each cell in the Massive MIMO system to each central base station refers to the large-scale fading factor from user k in cell i to the central base station in cell j;
(2)对导频分配问题构建目标函数,目标函数为最大化Massive MIMO系统内所有用户速率的乘积;(2) Construct an objective function for the pilot allocation problem, and the objective function is to maximize the product of all user rates in the Massive MIMO system;
(3)根据步骤(2)中构建的目标函数,每次从各个小区中选出一个用户,组成一个用户组合;(3) According to the objective function constructed in the step (2), select a user from each sub-district at a time to form a user combination;
(4)从步骤(3)得到的多种用户组合中,选出使得步骤(2)的目标函数最大的用户组合作为一个导频组;(4) from the various user combinations that step (3) obtains, select the user combination that makes the objective function of step (2) maximum as a pilot group;
(5)将步骤(4)中的选出的用户组合从未分配导频的集合中去掉,返回步骤(3),直到所有的用户组合都被分配导频。(5) Remove the user combinations selected in step (4) from the set of unassigned pilots, and return to step (3), until all user combinations are assigned pilots.
根据本发明优选的,所述步骤(2),具体步骤包括:Preferably according to the present invention, described step (2), specific steps include:
构建目标函数,目标函数如式(Ⅰ)所示:Construct the objective function, the objective function is shown in formula (I):
式(Ⅰ)中,使用相同导频k的用户的集合为一个导频组,记作Pk,则Massive MIMO系统中共有k个导频组,即P1,P2,…,PK,每个导频组中有L个用户;In formula (I), the set of users using the same pilot k is a pilot group, denoted as P k , then there are k pilot groups in the Massive MIMO system, that is, P 1 , P 2 ,..., P K , There are L users in each pilot group;
Uk(Pk)为导频组Pk的速率积,即导频组Pk内的所有用户的速率的乘积, U k (P k ) is the rate product of the pilot group P k , that is, the product of the rates of all users in the pilot group P k ,
是指l小区中的用户k到l小区中的中心基站的大尺度衰落因子;是指l小区中的用户k到j小区中的中心基站的大尺度衰落因子。 refers to the large-scale fading factor from user k in cell l to the central base station in cell l; It refers to the large-scale fading factor of user k in cell l to the central base station in cell j.
为实现在减弱导频污染时兼顾系统总体性能和用户间的公平性,构建一个目标函数为最大化整个系统的速率乘积。该优化目标函数可以在最大化系统和速率的同时兼顾用户之间的公平性。In order to take into account the overall performance of the system and the fairness among users while reducing pilot pollution, an objective function is constructed to maximize the rate product of the entire system. The optimization objective function can maximize the system and rate while taking into account the fairness among users.
根据本发明优选的,所述步骤(3),具体步骤包括:Preferably according to the present invention, described step (3), specific steps include:
A、设定Massive MIMO系统中所有参与导频分配的用户组成一个集合S;A. Set all users participating in pilot allocation in the Massive MIMO system to form a set S;
B、获取k!种用户组合:每种用户组合包括L个用户且该L个用户均来自不同的小区,k为集合S中每个小区内剩余的用户数;B. Obtain k! Kinds of user combinations: each user combination includes L users and the L users all come from different communities, and k is the remaining number of users in each community in the set S;
C、根据式(Ⅰ)计算k!种用户组合内的用户的速率的乘积。C. Calculate the product of the rates of the users in the k! kinds of user combinations according to formula (I).
根据本发明优选的,所述步骤(4),具体步骤包括:Preferably according to the present invention, described step (4), specific steps include:
采用贪婪策略从步骤(3)得到的k!种用户组合中选择出使得用户组合内的用户速率的乘积最大的用户组合作为一个共用导频k的导频组Pk。From the k! user combinations obtained in step (3), the greedy strategy is used to select the user combination that maximizes the product of user rates in the user combination as a pilot group P k that shares pilot k .
根据本发明优选的,所述步骤(5),具体步骤包括:Preferably according to the present invention, described step (5), specific steps include:
将导频组Pk中的用户从集合S中去除,更新集合S中的用户,返回步骤(3)直到所有的用户分配完导频为止。Remove the users in the pilot group P k from the set S, update the users in the set S, and return to step (3) until all users are assigned pilots.
本发明的有益效果为:The beneficial effects of the present invention are:
本发明通过最大化系统的用户速率的乘积,实现了一种兼顾系统有效性和公平性的导频分配方案。与现有的导频分配方式相比,本发明考虑的导频分配方案既最大化了系统的整体性能又兼顾了用户间的公平性。同时在解决本发明中的优化问题时,采用了基于贪婪策略的导频分配方法,该贪婪的导频分配方法具备较低的复杂度,更有利于实现。The present invention realizes a pilot allocation scheme that takes into account both system effectiveness and fairness by maximizing the product of system user rates. Compared with the existing pilot allocation method, the pilot allocation scheme considered in the present invention not only maximizes the overall performance of the system but also takes into account the fairness among users. At the same time, when solving the optimization problem in the present invention, a pilot allocation method based on a greedy strategy is adopted. The greedy pilot allocation method has lower complexity and is more conducive to realization.
附图说明Description of drawings
图1是实施例Massive MIMO系统模型示意图;Fig. 1 is the schematic diagram of embodiment Massive MIMO system model;
图2是本发明一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法的流程框图;Fig. 2 is a flow diagram of a pilot allocation method that takes into account the overall performance of the Massive MIMO system and the fairness among users of the present invention;
图3是实施例关于公平性的仿真效果图;FIG. 3 is a simulation effect diagram of an embodiment on fairness;
图4是实施例关于系统总体性能的仿真效果图。Fig. 4 is a simulation effect diagram of the embodiment about the overall performance of the system.
具体实施方式detailed description
下面结合说明书附图和实施例对本发明作进一步限定,但不限于此。The present invention will be further limited below in conjunction with the accompanying drawings and embodiments, but not limited thereto.
实施例Example
一种兼顾Massive MIMO系统总体性能和用户间公平性的导频分配方法,如图2所示,所述Massive MIMO系统如图1所示,包括3个等同的六边形小区,每个小区包括1个中心基站和5个用户,1个中心基站同时服务5个用户,该系统模型图中简单描述了系统中小区用户及中心基站的配置情况。从模型图中可以看出由于共用相同的导频,在上行导频估计时基站会同时收到相互干扰的导频信息,这种相互干扰就会造成导频污染,具体步骤包括:A pilot allocation method that takes into account the overall performance of the Massive MIMO system and the fairness between users, as shown in Figure 2, the Massive MIMO system, as shown in Figure 1, includes 3 equivalent hexagonal cells, each cell includes 1 central base station and 5 users, and 1 central base station serves 5 users at the same time. The system model diagram briefly describes the configuration of cell users and central base stations in the system. It can be seen from the model diagram that due to the sharing of the same pilot, the base station will receive mutually interfering pilot information at the same time during uplink pilot estimation, and this mutual interference will cause pilot pollution. The specific steps include:
(1)根据用户到中心基站距离,求取Massive MIMO系统中各小区中的各个用户到各中心基站的大尺度衰落信息是指i小区中的用户k到j小区中的中心基站的大尺度衰落因子;(1) According to the distance from the user to the central base station, obtain the large-scale fading information from each user in each cell in the Massive MIMO system to each central base station refers to the large-scale fading factor from user k in cell i to the central base station in cell j;
(2)对导频分配问题构建目标函数,目标函数为最大化Massive MIMO系统内所有用户速率的乘积;具体步骤包括:(2) Build an objective function for the pilot assignment problem, and the objective function is to maximize the product of all user rates in the Massive MIMO system; the specific steps include:
构建目标函数,目标函数如式(Ⅰ)所示:Construct the objective function, the objective function is shown in formula (I):
式(Ⅰ)中,使用相同导频k的用户的集合为一个导频组,记作Pk,则Massive MIMO系统中共有k个导频组,即P1,P2,…,PK,每个导频组中有L个用户;In formula (I), the set of users using the same pilot k is a pilot group, denoted as P k , then there are k pilot groups in the Massive MIMO system, that is, P 1 , P 2 ,..., P K , There are L users in each pilot group;
Uk(Pk)为导频组Pk的速率积,即导频组Pk内的所有用户的速率的乘积, U k (P k ) is the rate product of the pilot group P k , that is, the product of the rates of all users in the pilot group P k ,
是指l小区中的用户k到l小区中的中心基站的大尺度衰落因子;是指l小区中的用户k到j小区中的中心基站的大尺度衰落因子。 refers to the large-scale fading factor from user k in cell l to the central base station in cell l; It refers to the large-scale fading factor of user k in cell l to the central base station in cell j.
为实现在减弱导频污染时兼顾系统总体性能和用户间的公平性,构建一个目标函数为最大化整个系统的速率乘积。该优化目标函数可以在最大化系统和速率的同时兼顾用户之间的公平性。In order to take into account the overall performance of the system and the fairness among users while reducing pilot pollution, an objective function is constructed to maximize the rate product of the entire system. The optimization objective function can maximize the system and rate while taking into account the fairness among users.
(3)根据步骤(2)中构建的目标函数,每次从各个小区中选出一个用户,组成一个用户组合;具体步骤包括:(3) According to the objective function constructed in step (2), a user is selected from each community at a time to form a user group; the specific steps include:
A、设定Massive MIMO系统中所有参与导频分配的用户组成一个集合S;A. Set all users participating in pilot allocation in the Massive MIMO system to form a set S;
B、获取k!种用户组合:每种用户组合包括L个用户且该L个用户均来自不同的小区,k为集合S中每个小区内剩余的用户数;B. Get k! A user combination: each user combination includes L users and the L users are from different cells, and k is the number of users remaining in each cell in the set S;
C、根据式(Ⅰ)计算k!种用户组合内的用户的速率的乘积。C. Calculate the product of the rates of the users in the k! kinds of user combinations according to formula (I).
(4)从步骤(3)得到的多种用户组合中,选出使得步骤(2)的目标函数最大的用户组合作为一个导频组;采用贪婪策略从步骤(3)得到的k!种用户组合中选择出使得用户组合内的用户速率的乘积最大的用户组合作为一个共用导频k的导频组Pk。(4) From the multiple user combinations obtained in step (3), select the user combination that maximizes the objective function of step (2) as a pilot group; use the greedy strategy to obtain the k! The user combination that maximizes the product of the user rates in the user combination is selected from among the user combinations as a pilot group P k that shares the pilot k .
(5)将步骤(4)中的选出的用户组合从未分配导频的集合中去掉,返回步骤(3),直到所有的用户组合都被分配导频:将导频组Pk中的用户从集合S中去除,更新集合S中的用户,返回步骤(3)直到所有的用户分配完导频为止。(5) Remove the selected user combination in step (4) from the set of unassigned pilots, return to step (3), until all user combinations are assigned pilots: the pilot group P k The user is removed from the set S, the users in the set S are updated, and the step (3) is returned until all users are assigned pilots.
本实施例提出的兼顾系统整体性能和用户间的公平性的效果图如图3、图4所示。从图3、图4显示的结果来看,在进行导频分配的方案设计时,当优化目标是最大化系统的和速率时,系统具备较好的和速率但是系统中最大的用户速率和最小的用户速率间的差值很大,系统的公平性较差;当优化目标是最大化最小速率时,系统中最大的用户速率和最小的用户速率间的差值有效减小,但是系统的和速率被大大减小;当优化目标为最大化用户乘积时,系统不仅具备较好的整体性能同时有效性也得到兼顾。因此,本发明提出的导频分配方案可以有效兼顾系统的整体性能和用户间的公平性。Figures 3 and 4 show the effect diagrams of the present embodiment that take into account the overall performance of the system and the fairness among users. From the results shown in Figure 3 and Figure 4, when designing the pilot allocation scheme, when the optimization goal is to maximize the sum rate of the system, the system has a better sum rate but the maximum user rate and the minimum user rate in the system The difference between the user rates is very large, and the fairness of the system is poor; when the optimization goal is to maximize the minimum rate, the difference between the maximum user rate and the minimum user rate in the system is effectively reduced, but the system and The rate is greatly reduced; when the optimization goal is to maximize the user product, the system not only has better overall performance but also takes into account the effectiveness. Therefore, the pilot allocation scheme proposed by the present invention can effectively take into account the overall performance of the system and the fairness among users.
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