CN114302487A - Energy efficiency optimization method, device and equipment based on adaptive particle swarm power distribution - Google Patents
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Abstract
本发明公开了一种基于自适应粒子群功率分配的能效优化方法、装置及设备,方法包括:初始化小区内的各个基站位置以及各个用户的位置;根据各个基站位置以及各个用户的位置,计算大尺度衰落因子β以及信道的协方差矩阵R;接收上行导频信号,同时结合大尺度衰落因子β和信道的协方差矩阵R,采用MMSE方法对信道进行估计;根据估计的信道推导系统的信干噪比SINR表达式,并根据香农容量定理计算频效,同时结合系统的功耗模型建立系统的能效优化模型;对所述能效优化模型,根据优化目标函数,利用自适应粒子群算法在固定导频功率的基础上,进行用户的数据功率分配。本发明能够有效的提升了系统的能效,满足了绿色通信的要求。
The invention discloses an energy efficiency optimization method, device and equipment based on adaptive particle swarm power allocation. The method includes: initializing the positions of each base station and each user in a cell; Scale fading factor β and channel covariance matrix R; receive the uplink pilot signal, and combine the large-scale fading factor β and channel covariance matrix R, use MMSE method to estimate the channel; According to the estimated channel, the signal interference of the system is derived Noise ratio SINR expression, and calculate the frequency efficiency according to Shannon's capacity theorem, and establish the energy efficiency optimization model of the system in combination with the power consumption model of the system; for the energy efficiency optimization model, according to the optimization objective function, the adaptive particle swarm algorithm is used in the fixed derivative. On the basis of frequency power, the data power allocation of users is carried out. The invention can effectively improve the energy efficiency of the system and meet the requirements of green communication.
Description
技术领域technical field
本发明属于大规模MIMO系统无线通信技术领域,具体涉及一种基于自适应粒子群功率分配的能效优化方法、装置及设备。The invention belongs to the technical field of wireless communication of massive MIMO systems, and in particular relates to an energy efficiency optimization method, device and equipment based on adaptive particle swarm power allocation.
背景技术Background technique
大规模MIMO系统通过在基站端配置数以百千计数量的天线,利用多径散射,获得空间分集增益以及空间复用增益,从而能够使得系统在原有带宽的情况下大幅度提升系统频效、能效以及无线链路的可靠性,已成为5G的关键技术之一。无线通信系统传输数据一般有两种复用双工方式——TDD(时分双工)和FDD(频分双工),而在大规模MIMO系统中,为了方便利用同一相干时间内上下行信道的互易性,采用TDD模式。用户与基站之间的位置关系以及周围环境不同,使得用户与基站间的信道增益不同,信号在信道传输过程中的衰落程度也有差异。在进行上行数据传输时,由于用户间信道的非正交性,用户之间传输的信号会存在相互在干扰,这就使得基站端接收到的信号包含了有用信号的同时也包含了干扰信号,影响整个通信系统的性能。功率控制一直都是通信系统研究中的热点问题之一。在大规模MIMO系统的能效研究中,通过控制导频以及数据信号的功率,在保证数据传输速率的情况下可以降低系统消耗的总功耗,提高系统的能效,进一步提升系统的性能,满足绿色通信的要求。Massive MIMO system configures hundreds of thousands of antennas at the base station and uses multipath scattering to obtain spatial diversity gain and spatial multiplexing gain, so that the system can greatly improve the frequency efficiency of the system under the original bandwidth. Energy efficiency and the reliability of wireless links have become one of the key technologies of 5G. There are generally two multiplexing and duplexing methods for data transmission in wireless communication systems—TDD (time division duplexing) and FDD (frequency division duplexing). Reciprocity, using TDD model. The location relationship between the user and the base station and the surrounding environment are different, so that the channel gain between the user and the base station is different, and the fading degree of the signal during the channel transmission process is also different. During uplink data transmission, due to the non-orthogonality of the channels between users, the signals transmitted between users will interfere with each other, which makes the signal received by the base station include both useful signals and interference signals. Affect the performance of the entire communication system. Power control has always been one of the hot issues in communication system research. In the energy efficiency research of massive MIMO systems, by controlling the power of pilot and data signals, the total power consumption of the system can be reduced under the condition of ensuring the data transmission rate, the energy efficiency of the system can be improved, and the performance of the system can be further improved to meet the requirements of green communication requirements.
目前,功率分配问题已经被广泛研究,具体方案为:At present, the power distribution problem has been widely studied, and the specific solutions are:
一、等功率分配算法,即在不考虑信道增益的情况下,将上行总功率平均分配给小区内的每一个用户。这种方式会使得信道增益好的用户通信质量好,而信道增益差的用户通信质量也不至于很差,但是这种算法未考虑用户最小速率,对于能效以及频效而言也并非是最优的,因为在现实中基站配置的天线数量不能趋近于无穷。First, the equal power allocation algorithm, that is, without considering the channel gain, the total uplink power is evenly allocated to each user in the cell. This method will make the communication quality of users with good channel gain good, while the communication quality of users with poor channel gain will not be very bad, but this algorithm does not consider the minimum rate of users, and it is not optimal for energy efficiency and frequency efficiency. , because in reality the number of antennas configured by the base station cannot approach infinity.
二、从信道增益角度出发的注水功率算法,注水功率算法是根据信道状态对发送功率自适应分配,通常是信道状态好的时刻,多分配功率,信道差的时候,少分配功率,从而达到最大化的传输速率。这种功率分配算法在实现上简单,但是没有考虑用户质量的公平性,会导致信道好的用户分配的功率多,通信质量好,而信道差的用户分到的功率少,通信质量差,收到其他用户的强干扰。2. The water injection power algorithm from the perspective of channel gain. The water injection power algorithm is to adaptively allocate the transmit power according to the channel state. Usually, when the channel state is good, more power is allocated, and when the channel is poor, less power is allocated, so as to achieve the maximum optimized transfer rate. This power allocation algorithm is simple in implementation, but does not consider the fairness of user quality, which will lead to users with good channels allocated more power and better communication quality, while users with poor channels are allocated less power, poor communication quality, and poor reception. Strong interference to other users.
三、根据分式规划理论、拉格朗日乘法结合Dinkelbach算法等凸优化理论的功率分配算法,大规模MIMO系统的能效优化目标是非凸的,一般需要通过松弛和重整的操作,将非凸的目标函数重新构造形成凸的目标函数,然后通过内点法等凸优化方法对功率进行分配,这样得到的局部最优功率分配矢量就是最优的功率分配矢量,对于系统能效以及频效而言都有良好的性能,但是这种功率分配方式实现过程复杂,算法计算复杂度过高,且需要掌握扎实的数学知识。3. According to the power allocation algorithm of convex optimization theory such as fractional programming theory, Lagrange multiplication combined with Dinkelbach algorithm, the energy efficiency optimization objective of massive MIMO system is non-convex, and it is generally necessary to relax and reshape the non-convex. The objective function is reconstructed to form a convex objective function, and then the power is allocated by convex optimization methods such as the interior point method. The local optimal power allocation vector obtained in this way is the optimal power allocation vector. For system energy efficiency and frequency efficiency Both have good performance, but the implementation process of this power distribution method is complicated, the algorithm calculation complexity is too high, and solid mathematical knowledge is required.
发明内容SUMMARY OF THE INVENTION
针对现有功率分配方案中未完全充分考虑到的多种问题,本发明的目的在于提供一种基于自适应粒子群功率分配的能效优化方法、装置及设备,通过对用户上行数据功率进行迭代优化,在计算复杂度较低的情况下,考虑了小区内每个用户公平性下,大幅度提高系统的频效以及能效。Aiming at various problems that are not fully considered in the existing power allocation scheme, the purpose of the present invention is to provide an energy efficiency optimization method, device and equipment based on adaptive particle swarm power allocation, by iterative optimization of user uplink data power , under the condition of low computational complexity, considering the fairness of each user in the cell, the frequency efficiency and energy efficiency of the system are greatly improved.
为了达到上述目的,本发明提供以下技术方案:In order to achieve the above object, the present invention provides the following technical solutions:
一种基于自适应粒子群功率分配的能效优化方法,其包括以下步骤:An energy efficiency optimization method based on adaptive particle swarm power distribution, comprising the following steps:
S1,初始化小区内的各个基站位置以及各个用户的位置;S1, initialize the location of each base station in the cell and the location of each user;
S2,根据各个基站位置以及各个用户的位置,计算大尺度衰落因子β以及信道的协方差矩阵R;S2, according to the position of each base station and the position of each user, calculate the large-scale fading factor β and the covariance matrix R of the channel;
S3,接收上行导频信号,同时结合大尺度衰落因子β和信道的协方差矩阵R,采用MMSE方法对信道进行估计;S3, receive the uplink pilot signal, and use the MMSE method to estimate the channel by combining the large-scale fading factor β and the covariance matrix R of the channel;
S4,根据估计的信道推导系统的信干噪比SINR表达式,并根据香农容量定理计算频效,同时结合系统的功耗模型建立系统的能效优化模型;S4, derive the SINR expression of the signal-to-interference-noise ratio of the system according to the estimated channel, calculate the frequency efficiency according to Shannon's capacity theorem, and establish an energy efficiency optimization model of the system in combination with the power consumption model of the system;
S5,对所述能效优化模型,根据优化目标函数,利用自适应粒子群算法在固定导频功率的基础上,进行用户的数据功率分配。S5 , for the energy efficiency optimization model, according to the optimization objective function, the adaptive particle swarm algorithm is used to allocate the data power of the user on the basis of the fixed pilot power.
优选地,步骤S2中,大尺度衰落因子表示为:Preferably, in step S2, the large-scale fading factor Expressed as:
其中,表示阴影衰落,其对数服从高斯分布 表示小区l中第i个用户到小区j中心的基站的距离,r0表示小区的半径;α表示信号传输过程中的路径损耗系数。in, represents shadow fading, its logarithm follow a Gaussian distribution Represents the distance from the ith user in cell l to the base station in the center of cell j, r 0 represents the radius of the cell; α represents the path loss coefficient in the signal transmission process.
信道的协方差矩阵R根据高斯局部散射模型的近似解求取,且满足:The covariance matrix R of the channel is obtained according to the approximate solution of the Gaussian local scattering model and satisfies:
其中,β表示大尺度衰落因子,dH为天线的空间距离,M为基站配置的天线数目,为用户的到达角。Among them, β represents the large-scale fading factor, d H is the spatial distance of the antenna, M is the number of antennas configured by the base station, is the angle of arrival of the user.
优选地,步骤S3具体包括:Preferably, step S3 specifically includes:
在导频发射阶段,将在小区j中基站接收到的信号表示为:During the pilot transmission phase, the signal received by the base station in cell j will be Expressed as:
其中,pjk表示小区j中的第k个用户发射导频的功率,为小区j中的第k个用户发射的导频序列;表示基站接收端的加性高斯白噪声,其服从独立同分布CN~(0,σp);Among them, p jk represents the power of the kth user in cell j to transmit the pilot frequency, is the pilot sequence transmitted for the kth user in cell j; Represents the additive white Gaussian noise at the receiving end of the base station, which obeys the independent and identical distribution CN~(0,σ p );
对上式两边同时乘以得到:Multiply both sides of the above equation by get:
其中,由于导频是正交的,值为0;where, since the pilots are orthogonal, value is 0;
采取最小均方误差估计的方法,根据进行信道估计,其中,小区l中的第k个用户与基站j之间的信道估计值可以表示为:Take the method of least mean square error estimation, according to Perform channel estimation, where the channel estimation value between the kth user in cell l and base station j can be expressed as:
因此,在上行数据发射阶段,基站j接收到的数据可以表示为:Therefore, in the uplink data transmission stage, the data received by base station j can be expressed as:
对接收信号采用最大比合并接收,即接收矢量为:The received signal is received by maximum ratio combining, that is, the received vector is:
所以,小区j中用户k的发射信号用下式表示:Therefore, the transmitted signal of user k in cell j is expressed by the following formula:
其中,第一项为有用信号;第二项为小区内干扰;剩下部分为小区间干扰以及其他非相关噪声,sjk为小区j中用户k的发送信号。Among them, the first item is the useful signal; the second item is intra-cell interference; the remaining part is inter-cell interference and other non-correlated noises, and s jk is the transmitted signal of user k in cell j.
优选地,步骤S4中,系统的信干噪比SINRPreferably, in step S4, the signal-to-interference noise ratio SINR of the system is
通过香农容量定理知道系统的频效的下界表示为:Through Shannon's capacity theorem, we know that the lower bound of the frequency effect of the system is expressed as:
优化问题表示为:The optimization problem is expressed as:
其中,表示小区j中的基站接收到的小区j内第k个用户信号的信干噪比,pli表示分配给小区j中用户i的数据功率,Vjk表示接收组合矢量,表示小区j的基站与小区内第k个用户间信道的估计值,表示信道矩阵的估计误差矩阵,表示噪声功率,为Mj阶的单位矩阵,EEUL表示大规模MIMO上行传输过程的系统能效,τu表示传输上行数据的相干块长度,τc表示相干块的总长度,M为基站配备的天线数量,pr为上行数据传输时天线的射频链路消耗的功率,ps为大规模MIMO系统传输数据过程中消耗的静态电功耗,pmax是每个小区中所有用户在上行传输过程中的最大的电功率。Rmin是在考虑最小速率约束下设定的值。in, is the signal-to-interference-to-noise ratio of the kth user signal in cell j received by the base station in cell j, p li is the data power allocated to user i in cell j, V jk is the receiving combination vector, represents the estimated value of the channel between the base station of cell j and the kth user in the cell, represents the estimated error matrix of the channel matrix, represents the noise power, is the identity matrix of order M j , EE UL represents the system energy efficiency of the massive MIMO uplink transmission process, τ u represents the length of the coherent block for transmitting uplink data, τ c represents the total length of the coherent block, M is the number of antennas equipped by the base station, p r is the power consumed by the radio frequency link of the antenna during uplink data transmission, p s is the static electrical power consumption consumed in the process of data transmission in the massive MIMO system, and pmax is the maximum power consumption of all users in each cell during the uplink transmission process. Electric power. Rmin is the value set taking into account the minimum rate constraint.
优选地,步骤S5具体包括:Preferably, step S5 specifically includes:
S51,利用rand函数以及设定的用户数据功率的上下界对粒子的参数进行初始化;S51, using the rand function and the upper and lower bounds of the set user data power to initialize the parameters of the particle;
S52,将能效函数作为适应度函数,对初始化的粒子进行适应度的计算,并初始化局部最优解以及全局最优解;S52, taking the energy efficiency function as the fitness function, calculating the fitness of the initialized particles, and initializing the local optimal solution and the global optimal solution;
S53,进行迭代终止条件的判断,当迭代达到初始设置的最大迭代次数或者适应度值趋于稳定时终止迭代,否则就继续以下步骤;S53, the judgment of the iteration termination condition is performed, and the iteration is terminated when the iteration reaches the initially set maximum number of iterations or the fitness value tends to be stable, otherwise, the following steps are continued;
S54,对粒子的速度以及位置进行更新,同时对于超出边界范围的粒子进行边界处理,对于更新后的粒子重新计算适应度值;S54, update the speed and position of the particles, and at the same time, perform boundary processing for the particles that exceed the boundary range, and recalculate the fitness value for the updated particles;
S55,保存每次迭代的结果,并对每次迭代后的结果进行比较,对局部最优解以及全局最优解进行更新。S55, save the results of each iteration, compare the results after each iteration, and update the local optimal solution and the global optimal solution.
S56,当达到迭代终止条件时,得到的全局最优值,即所需的最优的用户数据功率分配矢量。S56, when the iteration termination condition is reached, the obtained global optimal value, that is, the required optimal user data power allocation vector.
优选地,在步骤S52中,适应度函数被设置为能效表达式:Preferably, in step S52, the fitness function is set as an energy efficiency expression:
通过将每一个粒子的位置参数作为输入参数,代入上式中求解出相应的适应度值,第一次迭代过程结束,初始化的粒子参数被设置为局部最优值以及全局最优值。By taking the position parameter of each particle as the input parameter, and substituting it into the above formula to solve the corresponding fitness value, the first iteration process ends, and the initialized particle parameters are set to the local optimal value and the global optimal value.
优选地,在步骤S54中,对粒子的速度以及位置进行更新并进行边界处理如下:Preferably, in step S54, the speed and position of the particles are updated and the boundary processing is performed as follows:
粒子速度以及位置的更新公式为:The update formulas for particle velocity and position are:
Vj(t+1)=Vj(t)+c1*rand*(Gbestj-popj(t))+c2*rand*(Zbest-popj(t))V j (t+1)=V j (t)+c1*rand*(Gbest j -pop j (t))+c2*rand*(Zbest-pop j (t))
popj(t+1)=popj(t)+ω*Vj(t+1)pop j (t+1)=pop j (t)+ω*V j (t+1)
式中,Vj(t+1)表示第j个粒子第(t+1)次迭代时的搜索速度,Vj(t)表示第j个粒子第t次迭代时的搜索速度,c1为个体学习因子,表示速度的迭代只与粒子本身的历史位置有关,c2为社会学习因子,表示速度的迭代与整个粒子群的历史位置之间的关系,ω表示权重因子,当ω较大时有利于跳出局部最小值,便于全局搜索,而当惯性因子ω较小时,有利于对局部趋于进行精确搜索。因此,当迭代次数较小时,ω的值较大,而当迭代次数较大时,ω的值较小。Gbestj为第j个粒子目前位置的最优位置,Zbest表示整个粒子群的当前迭代次数下的最优的粒子位置,popj(t)表示表示第j个粒子第t次迭代时的位置参数。In the formula, V j (t+1) represents the search speed of the j-th particle at the (t+1)th iteration, V j (t) represents the search speed of the j-th particle at the t-th iteration, and c1 is the individual Learning factor, which indicates that the iteration of velocity is only related to the historical position of the particle itself, c2 is the social learning factor, which indicates the relationship between the iteration of velocity and the historical position of the entire particle swarm, ω represents the weight factor, when ω is larger, it is beneficial to Jumping out of the local minimum is convenient for global search, and when the inertia factor ω is small, it is conducive to accurate search for local tendencies. Therefore, when the number of iterations is small, the value of ω is large, and when the number of iterations is large, the value of ω is small. Gbest j is the optimal position of the current position of the j-th particle, Zbest represents the optimal particle position under the current number of iterations of the entire particle swarm, and pop j (t) represents the position parameter of the j-th particle at the t-th iteration .
粒子速度以及位置的边界处理方法为:The boundary processing methods for particle velocity and position are:
V(i,j)表示第i个粒子在第j维方向上的速度大小,对粒子速度进行边界处理,能够限制粒子在解空间中的跃迁快慢,能够充分的对解空间进行搜索。pop(i,j)表示第i个粒子在第j维方向上位移大小,对位置进行边界处理,能够将粒子严格地限制在解空间中运动。V(i,j) represents the velocity of the i-th particle in the j-th dimension. The boundary processing of the particle velocity can limit the transition speed of the particle in the solution space, and can fully search the solution space. pop(i,j) represents the displacement of the i-th particle in the j-th dimension, and the boundary processing of the position can strictly limit the particle movement in the solution space.
本发明实施例还提供了一种基于自适应粒子群功率分配的能效优化装置,其包括:The embodiment of the present invention also provides an energy efficiency optimization device based on adaptive particle swarm power allocation, which includes:
初始化单元,用于初始化小区内的各个基站位置以及各个用户的位置;an initialization unit, used to initialize the location of each base station in the cell and the location of each user;
计算单元,用于根据各个基站位置以及各个用户的位置,计算大尺度衰落因子β以及信道的协方差矩阵R;a calculation unit, used for calculating the large-scale fading factor β and the covariance matrix R of the channel according to the position of each base station and the position of each user;
信道估计单元,用于接收上行导频信号,同时结合大尺度衰落因子β和信道的协方差矩阵R,采用MMSE方法对信道进行估计;The channel estimation unit is used to receive the uplink pilot signal, and at the same time combine the large-scale fading factor β and the covariance matrix R of the channel, and use the MMSE method to estimate the channel;
模型建立单元,用于根据估计的信道推导系统的信干噪比SINR表达式,并根据香农容量定理计算频效,同时结合系统的功耗模型建立系统的能效优化模型;The model building unit is used to derive the SINR expression of the system according to the estimated channel, calculate the frequency efficiency according to Shannon's capacity theorem, and establish the energy efficiency optimization model of the system combined with the power consumption model of the system;
功率分配单元,用于对所述能效优化模型,根据优化目标函数,利用自适应粒子群算法在固定导频功率的基础上,进行用户的数据功率分配。The power allocation unit is configured to use the adaptive particle swarm algorithm to allocate the data power of the user on the basis of the fixed pilot power according to the optimization objective function of the energy efficiency optimization model.
本发明实施例还提供了一种基于自适应粒子群功率分配的能效优化设备,其包括存储器以及处理器,所述存储器内存储有计算机程序,所述计算机程序能够被所述处理器执行,以实现如上述的基于自适应粒子群功率分配的能效优化方法。Embodiments of the present invention also provide an energy efficiency optimization device based on adaptive particle swarm power allocation, which includes a memory and a processor, where a computer program is stored in the memory, and the computer program can be executed by the processor to The energy efficiency optimization method based on adaptive particle swarm power allocation as described above is realized.
上所述,本发明能够在计算复杂度较低的情况下,充分考虑各用户通信质量公平性,有效的提升了系统的能效,满足了绿色通信的要求。As mentioned above, the present invention can fully consider the communication quality fairness of each user under the condition of low computational complexity, effectively improve the energy efficiency of the system, and meet the requirements of green communication.
附图说明Description of drawings
图1是本发明第一实施例提供的基于自适应粒子群功率分配的能效优化方法工作流程示意图。FIG. 1 is a schematic work flow of an energy efficiency optimization method based on adaptive particle swarm power allocation provided by a first embodiment of the present invention.
图2为本发明实施例提供的自适应粒子群算法流程示意框图。FIG. 2 is a schematic block diagram of an adaptive particle swarm algorithm flow according to an embodiment of the present invention.
图3为本发明提供的基于自适应粒子群算法与其他算法的小区的平均频效性能对比示意图。FIG. 3 is a schematic diagram showing the comparison of the average frequency efficiency performance of a cell based on the adaptive particle swarm algorithm and other algorithms provided by the present invention.
图4为本发明提供的基于自适应粒子群算法与其他算法的小区的平均能效性能对比示意图。FIG. 4 is a schematic diagram showing the comparison of the average energy efficiency performance of a cell based on the adaptive particle swarm algorithm and other algorithms provided by the present invention.
图5是本发明第二实施例提供的基于自适应粒子群功率分配的能效优化装置的结构示意图。FIG. 5 is a schematic structural diagram of an energy efficiency optimization apparatus based on adaptive particle swarm power distribution provided by a second embodiment of the present invention.
具体实施方式Detailed ways
下面结合具体实施例和附图对本发明方案作进一步的阐述。The solution of the present invention will be further elaborated below with reference to specific embodiments and accompanying drawings.
请参阅图1,本发明第一实施例提供了一种基于自适应粒子群功率分配的能效优化方法,其包括以下步骤:Referring to FIG. 1, a first embodiment of the present invention provides an energy efficiency optimization method based on adaptive particle swarm power allocation, which includes the following steps:
S1,初始化小区内的各个基站位置以及各个用户的位置。S1, initialize the location of each base station in the cell and the location of each user.
其中,在一种实现方式中,本实施例共设置了16个小区,按照4*4进行布置,为了克服小区间的干扰,本系统对小区内的用户采用正交导频。同时为了不失一般性,本系统导频复用因子设置为f=4。因此,本系统采用的导频序列可以表示为 在每个小区中,用户通过随机分布的方式进行设置,同时约束用户到基站的距离最小距离,并针对每个用户计算周围基站的拓扑距离。Among them, in an implementation manner, a total of 16 cells are set in this embodiment, and they are arranged according to 4*4. In order to overcome the interference between cells, the system adopts orthogonal pilots for users in the cells. Meanwhile, in order not to lose generality, the pilot frequency reuse factor of this system is set to f=4. Therefore, the pilot sequence used in this system can be expressed as In each cell, users are set by random distribution, while the minimum distance from the user to the base station is constrained, and the topological distance of the surrounding base stations is calculated for each user.
S2,根据各个基站位置以及各个用户的位置,计算大尺度衰落因子β以及信道的协方差矩阵R。S2, calculate the large-scale fading factor β and the covariance matrix R of the channel according to the position of each base station and the position of each user.
在本实例中考虑多小区多用户的大规模MIMO系统,该系统是由L个正方形小区组成的。在每个小区中,都在小区中央设立一个配备有M根天线的基站,同时服务于小区中随机分布的K个单天线用户(其中,K<<M)。不失一般性,在小区l中第i个用户到小区基站j的信道增益可以表示为:In this example, consider a multi-cell multi-user massive MIMO system, which is composed of L square cells. In each cell, a base station equipped with M antennas is set up in the center of the cell, and serves K single-antenna users randomly distributed in the cell (where K<<M). Without loss of generality, the channel gain from the ith user in cell l to cell base station j It can be expressed as:
其中,表示小尺度衰落,服从于圆对称复高斯分布,即CN~(0,IM)。in, Represents small-scale fading and obeys a circularly symmetric complex Gaussian distribution, namely CN~(0, IM ).
其中,是大尺度衰落因子,在一般情况下表示为in, is the large-scale fading factor, which is generally expressed as
这里的表示阴影衰落,其对数服从高斯分布 其中表示小区l中第i个用户到小区j中心的基站的距离,r0表示小区的半径,α表示信号传输过程中的路径损耗系数;特别的,在若干个信道的相干时间内变化缓慢并且容易追踪,所以将一个相干时间内的视为常数。here represents shadow fading, its logarithm follow a Gaussian distribution in represents the distance from the ith user in cell l to the base station in the center of cell j, r0 represents the radius of the cell, and α represents the path loss coefficient during signal transmission; in particular, The change is slow and easy to track in the coherence time of several channels, so the coherence time of one coherence time is regarded as a constant.
在本实施例中个,根据设置好的基站以及用户位置,计算用户与基站之间的到达角,根据高斯局部散射模型的近似解求取信道的协方差矩阵R:In this embodiment, according to the set base station and user position, calculate the angle of arrival between the user and the base station, and obtain the covariance matrix R of the channel according to the approximate solution of the Gaussian local scattering model:
其中,β表示大尺度衰落因子,dH为天线的空间距离(一般设为半波长),M为基站配置的天线数目,为用户的到达角。Among them, β represents the large-scale fading factor, d H is the spatial distance of the antenna (generally set to half wavelength), M is the number of antennas configured by the base station, is the angle of arrival of the user.
S3,接收上行导频信号,同时结合大尺度衰落因子β和信道的协方差矩阵R,采用MMSE方法对信道进行估计。S3: Receive the uplink pilot signal, and use the MMSE method to estimate the channel by combining the large-scale fading factor β and the covariance matrix R of the channel.
其中,在导频发射阶段,在小区j中基站接收到的信号可以表示为:Among them, in the pilot transmission stage, the signal received by the base station in cell j It can be expressed as:
这里pjk表示的是小区j中的第k个用户发射导频的功率,为小区j中的第k个用户发射的导频序列。表示的是基站接收端的加性高斯白噪声,其服从独立同分布CN(0~σp)。Here p jk represents the power of the kth user in cell j transmitting the pilot frequency, Pilot sequence transmitted for the kth user in cell j. It represents the additive white Gaussian noise at the receiving end of the base station, which obeys the independent and identical distribution CN(0~σ p ).
对式子(4)两边同时乘以可以得到:Multiply both sides of equation (4) by You can get:
由于导频的正交性,上述式子(5)右边第三项值为0,因此可以把小区间干扰去掉,有利于进行信道估计。Due to the orthogonality of pilots, the value of the third term on the right side of the above equation (5) is 0, so the inter-cell interference can be removed, which is beneficial to channel estimation.
经过以上操作,小区中的基站接收到来自用户发送过来的导频信号后,基站就可以根据来进行信道估计,本实施例采取最小均方误差(MMSE)估计的方法。因此,小区l中的第k个用户与基站j之间的信道估计值可以表示为:After the above operations, after the base station in the cell receives the pilot signal sent from the user, the base station can To perform channel estimation, this embodiment adopts the method of minimum mean square error (MMSE) estimation. Therefore, the channel estimation value between the kth user in cell l and base station j can be expressed as:
因此,在上行数据发射阶段,基站j接收到的数据可以表示为:Therefore, in the uplink data transmission stage, the data received by base station j can be expressed as:
在本实施例中,对接收信号采用最大比合并接收,即接收矢量为:In this embodiment, the received signal is received by using maximum ratio combining, that is, the received vector is:
所以,小区j中用户k的发射信号可以用以下式子表示:Therefore, the transmitted signal of user k in cell j can be expressed by the following formula:
其中,第一项为有用信号;第二项为小区内干扰;剩下部分为小区间干扰以及其他非相关噪声。Among them, the first item is useful signal; the second item is intra-cell interference; the rest is inter-cell interference and other non-correlated noise.
S4,根据估计的信道推导系统的信干噪比SINR表达式,并根据香农容量定理计算频效,同时结合系统的功耗模型建立系统的能效优化模型。S4, derive the SINR expression of the signal-to-interference-noise ratio of the system according to the estimated channel, calculate the frequency efficiency according to Shannon's capacity theorem, and establish an energy efficiency optimization model of the system in combination with the power consumption model of the system.
由上述已知过程,推导系统的SINR以及频效SE、能效EE表达式。其中:From the above-mentioned known process, the SINR, frequency efficiency SE, and energy efficiency EE expressions of the system are derived. in:
通过香农容量定理可以知道系统的频效的下界可以表示为:Through Shannon's capacity theorem, it can be known that the lower bound of the frequency effect of the system can be expressed as:
本实施例的目的是努力提高系统中的平均能效,一次来实现绿色通信的发展。因此优化问题可以表示为:The purpose of this embodiment is to strive to improve the average energy efficiency in the system, once to achieve the development of green communication. So the optimization problem can be expressed as:
其中,表示小区j中的基站接收到的小区j内第k个用户信号的信干噪比,pli表示分配给小区j中用户i的数据功率,Vjk表示接收组合矢量,表示小区j的基站与小区内第k个用户间信道的估计值,表示信道矩阵的估计误差矩阵,表示噪声功率,为Mj阶的单位矩阵,EEUL表示大规模MIMO上行传输过程的系统能效,τu表示传输上行数据的相干块长度,τc表示相干块的总长度,M为基站配备的天线数量,pr为上行数据传输时天线的射频链路消耗的功率,ps为大规模MIMO系统传输数据过程中消耗的静态电功耗,pmax是每个小区中所有用户在上行传输过程中的最大的电功率。Rmin是在考虑最小速率约束下设定的值。in, is the signal-to-interference-to-noise ratio of the kth user signal in cell j received by the base station in cell j, p li is the data power allocated to user i in cell j, V jk is the receiving combination vector, represents the estimated value of the channel between the base station of cell j and the kth user in the cell, represents the estimated error matrix of the channel matrix, represents the noise power, is the identity matrix of order M j , EE UL represents the system energy efficiency of the massive MIMO uplink transmission process, τ u represents the length of the coherent block for transmitting uplink data, τ c represents the total length of the coherent block, M is the number of antennas equipped by the base station, p r is the power consumed by the radio frequency link of the antenna during uplink data transmission, p s is the static electrical power consumption consumed in the process of data transmission in the massive MIMO system, and pmax is the maximum power consumption of all users in each cell during the uplink transmission process. Electric power. Rmin is the value set taking into account the minimum rate constraint.
S5,对所述能效优化模型,根据优化目标函数,利用自适应粒子群算法在固定导频功率的基础上,进行用户的数据功率分配。S5 , for the energy efficiency optimization model, according to the optimization objective function, the adaptive particle swarm algorithm is used to allocate the data power of the user on the basis of the fixed pilot power.
优选地,步骤S5具体包括:Preferably, step S5 specifically includes:
S51,利用rand函数以及设定的用户数据功率的上下界对粒子进行初始化,其中在中,上标为迭代次数,下标为粒子编号;p12为中前一个数字下标代表小区编号,第二个数字下标代表小区中的用户编号。S51, use the rand function and the upper and lower bounds of the set user data power to initialize the particles, of which in In , the superscript is the number of iterations, and the subscript is the particle number; p 12 is the subscript of the first number in the middle, which represents the cell number, and the second subscript of the number represents the user number in the cell.
S52,将能效函数EE作为适应度函数,对初始化的所有粒子进行适应度的计算,并初始化局部最优以及全局最优 S52, take the energy efficiency function EE as the fitness function, calculate the fitness of all the initialized particles, and initialize the local optimum and the global optimum
S53,对粒子的速度以及位置进行更新并进行边界处理:S53, update the speed and position of the particle and perform boundary processing:
计算更新后的粒子对应的适应度值EE,并更新局部最优解以及全局最优解 Calculate the fitness value EE corresponding to the updated particle, and update the local optimal solution and the global optimal solution
S54,进行边界条件处理,在迭代过程中需要把功率约束条件作为粒子位置的边界条件,将粒子的运动束缚在一定范围内。S54, perform boundary condition processing. In the iterative process, the power constraint condition needs to be used as the boundary condition of the particle position, and the movement of the particle is bound within a certain range.
其中,粒子速度以及位置的更新公式为:Among them, the update formula of particle velocity and position is:
Vj(t+1)=Vj(t)+c1*rand*(Gbestj-popj(t))+c2*rand*(Zbest-popj(t)) (15)V j (t+1)=V j (t)+c1*rand*(Gbest j -pop j (t))+c2*rand*(Zbest-pop j (t)) (15)
式中,Vj(t+1)表示第j个粒子第(t+1)次迭代时的速度值,Vj(t)表示第j个粒子第t次迭代时的速度值,c1为个体学习因子,表示速度的迭代只与粒子本身的历史位置有关,c2为社会学习因子,表示速度的迭代与整个粒子群的历史位置都有关系,ω表示权重因子,当ω较大时有利于跳出局部最小值,便于全局搜索,而当惯性因子ω较小时,有利于对局部趋于进行精确搜索。因此,当迭代次数较小时,ω的值较大,而当迭代次数较大时,ω的值较小。Gbestj为第j个粒子目前位置的最优位置,Zbest为整个粒子群的目前为止最优的粒子位置,popj(t)表示表示第j个粒子第t次迭代时的位置参数。In the formula, V j (t+1) represents the velocity value of the j-th particle at the (t+1)th iteration, V j (t) represents the velocity value of the j-th particle at the t-th iteration, and c1 is the individual Learning factor, the iteration of speed is only related to the historical position of the particle itself, c2 is the social learning factor, the iteration of speed is related to the historical position of the entire particle swarm, ω represents the weight factor, when ω is large, it is conducive to jumping out The local minimum value is convenient for the global search, and when the inertia factor ω is small, it is conducive to the accurate search of the local tendency. Therefore, when the number of iterations is small, the value of ω is large, and when the number of iterations is large, the value of ω is small. Gbest j is the optimal position of the current position of the j-th particle, Zbest is the optimal particle position of the entire particle swarm so far, and pop j (t) represents the position parameter of the j-th particle at the t-th iteration.
粒子速度以及位置的边界处理方法为:The boundary processing methods for particle velocity and position are:
V(i,j)表示第i个粒子在第j维方向上的速度大小,对粒子速度进行边界处理,能够限制粒子在解空间中的搜索速度,能够充分的对解空间进行搜索。pop(i,j)表示第i个粒子在第j维方向上位移大小,对位置进行边界处理,能够将粒子运动严格限制在解空间中。V(i,j) represents the velocity of the i-th particle in the j-th dimension. The boundary processing of the particle velocity can limit the particle's search speed in the solution space and fully search the solution space. pop(i,j) represents the displacement of the i-th particle in the j-th dimension, and the boundary processing of the position can strictly limit the particle motion in the solution space.
其中,步骤S54中,在每次粒子的速度以及位置更新后,都会对新生成的粒子群进行适应度值得计算,根据本次粒子适应度值以及之前粒子适应度值的比较,从中选择出每个粒子自身的最优位置作为局部最优,以及整个粒子群的最优位置作为全局最优,由于每次迭代都选取了个体最优以及种群最优值,使得每次迭代过程只需要存储两个位置参数,极大的减小了对存储空间的要求。同时对于粒子速度以及位置的边界处理能够是的搜索更加的有效可靠。Among them, in step S54, after each particle velocity and position are updated, the fitness value of the newly generated particle swarm will be calculated. The optimal position of each particle itself is regarded as the local optimum, and the optimum position of the entire particle swarm is regarded as the global optimum. Since each iteration selects the individual optimum and the optimum value of the population, each iteration process only needs to store two A location parameter, which greatly reduces the requirements for storage space. At the same time, the boundary processing of particle velocity and position can make the search more effective and reliable.
S55,为避免粒子群算法陷于局部极值,本实施例结合基因遗传算法的变异操作,采用百分之二十的变异概率对粒子的位置进行处理:S55, in order to prevent the particle swarm algorithm from being trapped in the local extreme value, the present embodiment combines the mutation operation of the genetic genetic algorithm, and adopts a 20% mutation probability to process the position of the particle:
k=ceil(LK*rand) (19)k=ceil(LK*rand) (19)
pop(i,k)=rand*(popmax-popmin)+popmin (20)pop(i,k)=rand*(pop max -pop min )+pop min (20)
S56,当达到迭代终止条件时,全局最优值就是所要选取的最优的用户数据功率分配矢量。S56, when the iteration termination condition is reached, the global optimal value is the optimal user data power allocation vector to be selected.
图3和图4是本发明实施例的性能仿真结果图。从图中可以看出,相同条件下,与传统的功率分配算法相比,本发明在频效上有一定的提升,同时在能效上也有很大的提升,随着天线数量的增大,几种方法的性能最后逐步缩小。因此,本发明与传统的分配算法相比,具有明显的性能提升。3 and 4 are performance simulation result diagrams of an embodiment of the present invention. As can be seen from the figure, under the same conditions, compared with the traditional power distribution algorithm, the present invention has a certain improvement in frequency efficiency, and also has a great improvement in energy efficiency. The performance of this method eventually shrinks gradually. Therefore, compared with the traditional allocation algorithm, the present invention has obvious performance improvement.
请参阅图5,本发明第二实施例还提供了一种基于自适应粒子群功率分配的能效优化装置,其包括:Referring to FIG. 5 , the second embodiment of the present invention further provides an energy efficiency optimization device based on adaptive particle swarm power distribution, which includes:
初始化单元210,用于初始化小区内的各个基站位置以及各个用户的位置;an initialization unit 210, configured to initialize the location of each base station and the location of each user in the cell;
计算单元220,用于根据各个基站位置以及各个用户的位置,计算大尺度衰落因子β以及信道的协方差矩阵R;a calculation unit 220, configured to calculate the large-scale fading factor β and the covariance matrix R of the channel according to the position of each base station and the position of each user;
信道估计单元230,用于接收上行导频信号,同时结合大尺度衰落因子β和信道的协方差矩阵R,采用MMSE方法对信道进行估计;The channel estimation unit 230 is configured to receive the uplink pilot signal, and at the same time, combine the large-scale fading factor β and the covariance matrix R of the channel, and use the MMSE method to estimate the channel;
模型建立单元240,用于根据估计的信道推导系统的信干噪比SINR表达式,并根据香农容量定理计算频效,同时结合系统的功耗模型建立系统的能效优化模型;The model establishment unit 240 is used for deriving the SINR expression of the signal-to-interference-noise ratio of the system according to the estimated channel, and calculating the frequency efficiency according to Shannon's capacity theorem, and establishing an energy efficiency optimization model of the system in combination with the power consumption model of the system;
功率分配单元250,用于对所述能效优化模型,根据优化目标函数,利用自适应粒子群算法在固定导频功率的基础上,进行用户的数据功率分配。The power allocation unit 250 is configured to use the adaptive particle swarm algorithm based on the fixed pilot power to allocate the data power of the user according to the optimization objective function for the energy efficiency optimization model.
本发明第三实施例还提供了一种基于自适应粒子群功率分配的能效优化设备,其包括存储器以及处理器,所述存储器内存储有计算机程序,所述计算机程序能够被所述处理器执行,以实现如上述的基于自适应粒子群功率分配的能效优化方法。The third embodiment of the present invention also provides an energy efficiency optimization device based on adaptive particle swarm power distribution, which includes a memory and a processor, where a computer program is stored in the memory, and the computer program can be executed by the processor , in order to realize the energy efficiency optimization method based on adaptive particle swarm power allocation as described above.
本文中所描述的具体实施例仅仅是对本发明精神做举例说明。本发明所述技术领域的技术人员可以对所描述的具体实施例做各种各样的修改或补充或采用类似的方法替代,但并不会偏离本发明的精神或者超越所附权利要求书所定义的范围。The specific embodiments described herein are merely illustrative of the spirit of the invention. Those skilled in the technical field of the present invention can make various modifications or supplements to the described specific embodiments or use similar methods to replace, but will not deviate from the spirit of the present invention or exceed the scope of the appended claims. defined range.
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