CN108990070A - A kind of power distribution method of the cognitive radio networks based on NOMA technology - Google Patents
A kind of power distribution method of the cognitive radio networks based on NOMA technology Download PDFInfo
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Abstract
本发明公开了一种基于NOMA技术的认知无线电网络的功率分配方法,该方法按以下步骤进行:1)建立系统模型,分析处于边缘区域的次级用户的通信情况;2)建立目标优化模型;3)求解目标优化问题,对次级用户的最大信息传送速率和主用户基站的发送功率进行优化。本发明提出的目标函数是一个标准的凸优化问题,可以直接求解。本发明可以在确保主用户通信质量的前提下,研究次级用户发射端和中继节点间的最优功率分配问题,实现次级用户吞吐量的最大化。
The invention discloses a power allocation method of a cognitive radio network based on NOMA technology. The method is carried out in the following steps: 1) establish a system model, and analyze the communication situation of secondary users in the edge area; 2) establish a target optimization model ; 3) Solve the target optimization problem, and optimize the maximum information transmission rate of the secondary user and the transmission power of the primary user base station. The objective function proposed by the invention is a standard convex optimization problem, which can be solved directly. The invention can study the optimal power allocation problem between the secondary user's transmitting end and the relay node under the premise of ensuring the communication quality of the primary user, and realize the maximum throughput of the secondary user.
Description
技术领域technical field
本发明涉及无线通信领域,具体是涉及一种基于非正交多址接入技术的认知无线电网络的功率分配方法。The present invention relates to the field of wireless communication, in particular to a power allocation method of a cognitive radio network based on non-orthogonal multiple access technology.
背景技术Background technique
非正交多址接入技术(NOMA)和认知无线电技术都可以有效提高频谱效率和用户的传输速率。随着移动通信的迅速发展,无线数据业务量呈爆炸式增长,这就需要频谱效率更高,速率更快的无线网络来满足传输需求。将非正交多址接入技术(NOMA)应用于Underlay频谱共享模式下的认知无线电网络中可以大幅度提高系统的吞吐量以及频谱效率。Both non-orthogonal multiple access technology (NOMA) and cognitive radio technology can effectively improve spectrum efficiency and user transmission rate. With the rapid development of mobile communications, the amount of wireless data traffic is growing explosively, which requires a wireless network with higher spectral efficiency and faster rate to meet the transmission requirements. Applying non-orthogonal multiple access (NOMA) to the cognitive radio network under the Underlay spectrum sharing mode can greatly improve the throughput and spectrum efficiency of the system.
然而这样的通信方式中,因为感知基站会对主用户产生干扰,因此感知基站必须使上述干扰小于干扰门限,以免影响主用户通信。但如果感知基站的发射功率过小,边缘区域的次级用户的信噪比太小,达不到目标速率则会发生中断,影响系统的通信质量。However, in such a communication mode, since the sensing base station will interfere with the primary user, the sensing base station must make the interference smaller than the interference threshold, so as not to affect the communication of the primary user. However, if the transmit power of the sensing base station is too small, the signal-to-noise ratio of the secondary users in the edge area is too small, and the target rate will be interrupted, which will affect the communication quality of the system.
发明内容Contents of the invention
鉴于上述现有技术的不足,本发明的目的旨在提出一种基于NOMA技术的认知无线电网络的功率分配方法,而且该认知无线电网络还基于非正交多址接入技术实现。In view of the deficiencies in the prior art above, the purpose of the present invention is to propose a power allocation method for a cognitive radio network based on NOMA technology, and the cognitive radio network is also implemented based on non-orthogonal multiple access technology.
为了实现以上目标,本发明采用的技术方案为:一种基于NOMA技术的认知无线电网络的功率分配方法,其特征在于包括如下步骤:In order to achieve the above goals, the technical solution adopted in the present invention is: a method for power allocation of a cognitive radio network based on NOMA technology, which is characterized in that it includes the following steps:
步骤一、建立基于非正交多址接入的Underlay频谱共享模式下的认知无线电网络的下行链路模型,认知基站在保证主用户的通信质量在一定的前提下,将次级用户信号传送到中继,中继使用非正交多址进行扩大转发次级用户信号给次级用户;认知无线电网络分析中继和次级用户接收的信号;Step 1. Establish the downlink model of the cognitive radio network under the Underlay spectrum sharing mode based on non-orthogonal multiple access. The cognitive base station transmits the secondary user signal under the premise of ensuring the communication quality of the primary user. Transmitted to the relay, the relay uses non-orthogonal multiple access to expand and forward the secondary user signal to the secondary user; the cognitive radio network analyzes the signal received by the relay and the secondary user;
步骤二、建立优化问题模型,以次级用户的吞吐量最大化为优化目标,并以保证认知基站、中继的传输功率,及次级用户的最低信噪比作为优化条件;Step 2. Establishing an optimization problem model, taking the maximum throughput of secondary users as the optimization goal, and ensuring the transmission power of cognitive base stations and relays, and the minimum signal-to-noise ratio of secondary users as optimization conditions;
步骤三、求解优化问题,通过功率分配因子和信道状况实现次级用户的有效吞吐量的优化目标。Step 3, solving the optimization problem, and realizing the optimization goal of the effective throughput of the secondary user through the power allocation factor and the channel condition.
作为本发明功率分配方法进一步的细化方案,步骤一所述中继接收的信号为:As a further refinement of the power allocation method of the present invention, the signal received by the relay in step 1 is:
其中为认知基站面向中继之间衰落信道的衰落系数,a1和a2分别是次级用户1和次级用户2的功率分配系数,且a1+a2=1,ps为认知基站的发送功率,s1和s2分别是认知基站发送给次级用户1和次级用户2的信号,n为均值为0、方差为1的加性高斯白噪声,sp是主用户基站发射的信号,IT是大尺度路径损耗,且α是路径损耗指数,dp,R是主用户基站和中继之间的距离。in In order to recognize the fading coefficient of the fading channel between the relays, a 1 and a 2 are the power allocation coefficients of secondary user 1 and secondary user 2 respectively, and a 1 +a 2 =1, p s is the cognitive The transmit power of the base station, s 1 and s 2 are the signals sent by the cognitive base station to the secondary user 1 and secondary user 2 respectively, n is the additive white Gaussian noise with a mean value of 0 and a variance of 1, and sp is the primary user The signal transmitted by the base station, IT is the large-scale path loss, and α is the path loss exponent, d p,R is the distance between the primary user base station and the relay.
作为本发明功率分配方法进一步的细化方案,步骤一所述次级用户1接收的信号为:所述次级用户2接收的信号为:其中G为中继的放大因子,和分别为中继分别面向次级用户1、次级用户2之间衰落信道的衰落系数,nR为主用户基站对中继的干扰和中继上的加性高斯白噪声功率之和,n为均值为0、方差为1的加性高斯白噪声,Ip1,Ip2分别为大尺度路径损耗,且α是路径损耗指数,dp,i是主用户基站和次级用户i之间的距离,i=1或2。As a further refinement of the power allocation method of the present invention, the signal received by the secondary user 1 in step 1 is: The signal received by the secondary user 2 is: where G is the amplification factor of the relay, and are respectively the fading coefficients of the relay facing the fading channel between secondary user 1 and secondary user 2, n R is the sum of the interference of the primary user base station to the relay and the additive white Gaussian noise power on the relay, n is Additive white Gaussian noise with a mean of 0 and a variance of 1, I p1 and I p2 are large-scale path losses, and α is the path loss index, d p,i is the distance between the primary user base station and the secondary user i, i=1 or 2.
作为本发明功率分配方法进一步的细化方案,步骤二所述认知基站、中继的传输功率分别为:As a further refinement of the power allocation method of the present invention, the transmission powers of the cognitive base station and the relay in step 2 are respectively:
其中,Ip表示主用户的干扰门限,psmax,pRmax分别表示认知基站和中继的最大传输功率。Among them, I p represents the interference threshold of the primary user, p smax and p Rmax represent the maximum transmission power of the cognitive base station and the relay, respectively.
作为本发明功率分配方法进一步的细化方案,步骤二中所述次级用户的信噪比分别为:其中hCR,hR1,hR2分别表示认知基站到中继、中继到次级用户1和次级用户2的信道功率增益,pR为中继的发射功率,σ1和σ2分别表示次级用户1和次级用户2受到主用户基站的干扰和次级用户上的加性高斯白噪声功率之和。As a further refinement of the power allocation method of the present invention, the signal-to-noise ratios of the secondary users described in step 2 are respectively: where h CR , h R1 , and h R2 represent the channel power gains from the cognitive base station to the relay, and from the relay to the secondary user 1 and secondary user 2, p R is the transmit power of the relay, and σ 1 and σ 2 are respectively Indicates that the secondary user 1 and secondary user 2 are interfered by the main user base station and the sum of the additive white Gaussian noise power on the secondary user.
作为本发明功率分配方法进一步的细化方案,步骤二所述优化目标的函数表示为:其中γ2,γ2分别为次级用户1和次级用户2的最低信噪比。As a further refinement of the power allocation method of the present invention, the function of the optimization objective described in step 2 is expressed as: Among them, γ 2 and γ 2 are the minimum signal-to-noise ratios of the secondary user 1 and the secondary user 2, respectively.
作为本发明功率分配方法进一步的细化方案,步骤三所述对优化目标进行求解包括步骤:As a further refinement scheme of the power allocation method of the present invention, solving the optimization target described in step 3 includes steps:
步骤a)、简化优化目标的函数;Step a), simplify the function of optimization objective;
步骤b)、对简化后的优化目标函数二次优化得;Step b), the optimized objective function after the simplification is optimized twice;
步骤c)、对进行分析,当(如果大于,则为单调增函数,分析情况类似)时,优化目标函数为单调递减函数,a2的取值范围为:Step c), for to analyze when (If it is greater than, it is a monotonically increasing function, and the analysis is similar), the optimization objective function is a monotonically decreasing function, and the value range of a 2 is:
则当时,次级用户的吞吐量达到最大值。then when When , the throughput of secondary users reaches the maximum value.
本发明采用以上技术方案与现有技术相比,具有以下技术效果:Compared with the prior art, the present invention adopts the above technical scheme and has the following technical effects:
(1)本方法中的主用户分布运用泊松分布方法,使系统模型更加贴近实际运用;(1) The main user distribution in this method uses the Poisson distribution method to make the system model closer to the actual application;
(2)本方法基于“吞吐量最大”的原则,在不发生中断的前提下,得到了小区间次级用户之间最优的功率分配因子,有效地提高了系统吞吐量。(2) This method is based on the principle of "maximum throughput", and under the premise of no interruption, the optimal power allocation factor between the secondary users in the cell is obtained, which effectively improves the system throughput.
附图说明Description of drawings
图1为本发明基于NOMA技术的认知无线电网络的功率分配方法的流程图。FIG. 1 is a flowchart of a power allocation method for a cognitive radio network based on NOMA technology in the present invention.
图2为本发明对应上述功率分配方法的实施系统模型图。FIG. 2 is a model diagram of an implementation system of the present invention corresponding to the above-mentioned power allocation method.
具体实施方式Detailed ways
为了使本发明的目的、技术方案和优点更加清楚,下面将结合附图及具体实施方式对本发明进行详细描述。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.
本发明提出了在次级用户在满足最低传输速率要求的基础上,通过动态调整功率分配因子,对感知基站和中继的功率进行控制,可以有效地提高次级用户的吞吐量。The invention proposes that on the basis that the secondary user meets the minimum transmission rate requirement, the throughput of the secondary user can be effectively improved by dynamically adjusting the power allocation factor and controlling the power of the sensing base station and the relay.
如图1至图2所示,本发明实施例提供的一种基于非正交多址接入技术的基于NOMA技术的认知无线电网络的功率分配方法的流程图及其实施系统模型图,该方法包括以下步骤:As shown in FIG. 1 to FIG. 2 , a flow chart of a power allocation method for a cognitive radio network based on NOMA technology based on non-orthogonal multiple access technology and its implementation system model diagram provided by an embodiment of the present invention, the The method includes the following steps:
步骤一:建立基于非正交多址接入技术的Underlay频谱共享模式下的认知无线电网络的下行链路模型,并分析中继和次级用户接收的信号。系统运行过程为:感知基站在保证主用户的通信质量在一定的前提下,将次级用户信号传送到中继,中继使用非正交多址技术进行扩大转发次级用户信号给次级用户。Step 1: Establish the downlink model of the cognitive radio network under the Underlay spectrum sharing mode based on non-orthogonal multiple access technology, and analyze the signals received by the relay and secondary users. The operation process of the system is: the sensing base station transmits the secondary user signal to the relay under the premise of ensuring the communication quality of the primary user, and the relay uses non-orthogonal multiple access technology to expand and forward the secondary user signal to the secondary user .
如图2所示,在Underlay-NOMA系统中,认知网络由一个主用户基站(PBS),一个认知基站(CBS),一个放大中继器(R),一群主用户(PUs)和两个次级用户(SUs)组成。主用户基站(PBS)为主用户(PUs)提供通信。主用户随机分布在一个二维平面,服从泊松分布。第K个主用户与认知基站(CBS)之间的衰落信道表示为h'k。主用户基站(PBS)的发射功率为p。在认知无线电网络的边缘区域里,有两个次级用户,分为表示为次级用户1(SU1)和次级用户2(SU2)。认知基站(CBS)先向扩大中继器R发送恒定功率为ps的混合信号,信号s如下所示:As shown in Figure 2, in the Underlay-NOMA system, the cognitive network consists of a Primary User Base Station (PBS), a Cognitive Base Station (CBS), an amplifying repeater (R), a group of Primary Users (PUs) and two consists of Sub-Users (SUs). Primary User Base Stations (PBS) provide communications for Primary Users (PUs). The primary users are randomly distributed in a two-dimensional plane and obey the Poisson distribution. The fading channel between the Kth primary user and the Cognitive Base Station (CBS) is denoted as h' k . The transmit power of the primary subscriber base station (PBS) is p. In the edge area of the cognitive radio network, there are two secondary users, denoted as secondary user 1 (SU 1 ) and secondary user 2 (SU 2 ). The cognitive base station (CBS) first sends a mixed signal with constant power p s to the extended repeater R, and the signal s is as follows:
a1和a2分别是次级用户1(SU1)和次级用户2(SU2)的功率分配系数,且a1+a2=1。s1和s2则是认知基站(CBS)发送给次级用户1(SU1)和次级用户2(SU2)的信号。a 1 and a 2 are power allocation coefficients of secondary user 1 (SU 1 ) and secondary user 2 (SU 2 ), respectively, and a 1 +a 2 =1. s 1 and s 2 are signals sent by a cognitive base station (CBS) to a secondary user 1 (SU 1 ) and a secondary user 2 (SU 2 ).
认知基站(CBS)和扩大中继器(R)之间的衰落信道的衰落系数表示为:认知基站和主用户之间的衰落信道的衰落系数表示为:扩大中继器R和主用户之间的衰落信道的衰落系数表示为:扩大中继器R和次级用户1(SU1),次级用户2(SU2)之间的衰落信道的衰落系数分别表示为:假设次级用户2的信道条件优于次级用户1,即两者的信道功率增益可以表示为:hR1≤hR2 (2),The fading coefficient of the fading channel between the Cognitive Base Station (CBS) and the Extended Relay (R) is expressed as: The fading coefficient of the fading channel between the cognitive base station and the primary user is expressed as: The fading coefficient of the extended fading channel between the repeater R and the primary user is expressed as: The fading coefficients of the fading channel between the extended repeater R and the secondary user 1 (SU 1 ), secondary user 2 (SU 2 ) are expressed as: Assuming that the channel condition of secondary user 2 is better than that of secondary user 1, that is, the channel power gain of the two can be expressed as: h R1 ≤ h R2 (2),
设信道功率增益根据NOMA原理可知,功率分配因子a1≥a2。在扩大中继器(R)这边接收的信号为:Set channel power gain According to the principle of NOMA, it can be known that the power allocation factor a 1 ≥ a 2 . The signal received on the expanding repeater (R) side is:
n为均值为0,方差为1的加性高斯白噪声。sp是主用户基站(PBS)发射的信号,IT是大尺度路径损耗,其中: n is an additive Gaussian white noise with a mean of 0 and a variance of 1. sp is the signal transmitted by the primary subscriber base station (PBS), IT is the large-scale path loss, where:
α是路径损耗指数,dp,R是主用户基站(PBS)和扩大中继器(R)之间的距离。为了简单描述,本发明将主用户基站(PBS)对扩大中继器(R)的干扰和扩大中继器(R)上的加性高斯白噪声功率之和定义为: α is the path loss exponent, dp,R is the distance between the primary subscriber base station (PBS) and the extended repeater (R). For simple description, the present invention defines the sum of the interference of the primary user base station (PBS) to the repeater (R) and the additive white Gaussian noise power on the repeater (R) as:
那么,式(3)可以变为: Then, formula (3) can be changed to:
设定扩大中继器处的发射功率为pR,则: Set the transmit power at the expanded repeater as p R , then:
因此可以得到放大因子G:Therefore, the amplification factor G can be obtained:
为了不影响主用户的通信质量,认知基站(CBS)和扩大中继器(R)的传输功率必须满足:In order not to affect the communication quality of the primary user, the transmission power of the Cognitive Base Station (CBS) and the Extended Repeater (R) must meet:
式中,Ip表示主用户PU的干扰门限,psmax,pRmax分别表示认知基站(CBS)和扩大中继器(R)的最大传输功率。In the formula, I p represents the interference threshold of the primary user PU, p smax and p Rmax represent the maximum transmission power of the cognitive base station (CBS) and the extended relay (R) respectively.
那么次级用户1和次级用户2接收的信号可以如下表示:Then the signals received by secondary user 1 and secondary user 2 can be expressed as follows:
其中n为在次级用户1和次级用户2上的均值为0、方差为1的加性高斯白噪声。Ip1,Ip2分别大尺度路径损耗,其中α是路径损耗指数,dp,i是主用户基站(PBS)和次级用户i(i=1,2)之间的距离。where n is the additive white Gaussian noise with mean value 0 and variance 1 on secondary user 1 and secondary user 2. I p1 , I p2 are large-scale path losses respectively, where α is the path loss exponent, d p,i is the distance between the primary user base station (PBS) and the secondary user i (i=1,2).
为了简便运算,本发明把次级用户受到主用户基站(PBS)的干扰和次级用户上的加性高斯白噪声功率之和表示为:σi=1+Ipip,i=1,2 (14)。In order to simplify the calculation, the present invention expresses the sum of the interference of the primary user base station (PBS) and the additive Gaussian white noise power on the secondary user as: σ i =1+I pi p, i=1,2 (14).
因为在扩大中继器(R)和次级用户之间使用非正交多址接入技术(NOMA)广播用户信息,为了避免在次级用户之间叠加信息产生相互干扰,所以在次级用户接收信号时运用串行干扰消除(SIC)方法,先对信号s1进行解码,再对信号s2进行解码。次级用户1和次级用户2的信噪比分别为:Because non-orthogonal multiple access technology (NOMA) is used to broadcast user information between the extended repeater (R) and secondary users, in order to avoid mutual interference caused by overlapping information between secondary users, the secondary user When receiving the signal, the serial interference cancellation (SIC) method is used to decode the signal s1 first , and then decode the signal s2 . The signal-to-noise ratios of secondary user 1 and secondary user 2 are:
步骤二:建立双目标优化问题模型。Step 2: Establish a dual-objective optimization problem model.
本发明研究的问题是:在功率受限的情况下,使所有的次级用户的总速率最大。因此本发明需要优化的目标函数如下所示:The problem studied by the present invention is to maximize the total rate of all secondary users under power-limited conditions. Therefore the objective function that the present invention needs optimization is as follows:
SINR1≥γ1,SINR2≥γ2,γ1,γ2分别为次级用户1和次级用户2的最低信噪比。SINR 1 ≥ γ 1 , SINR 2 ≥ γ 2 , γ 1 , γ 2 are the minimum signal-to-noise ratios of secondary user 1 and secondary user 2 respectively.
步骤三:求解目标优化问题。Step 3: Solve the target optimization problem.
对目标函数求偏导可得:The partial derivative of the objective function can be obtained:
由此可知,当(如果大于,则为单调增函数,分析情况类似)时,目标函数为单调递减函数,a2的取值范围为:From this it can be seen that when (If it is greater than, it is a monotonically increasing function, and the analysis is similar), the objective function is a monotonically decreasing function, and the value range of a 2 is:
如果那么对于a2而言,在这个区间内没有合适的取值,也就意味着次级用户1或者次级用户2不能满足预定的SINR门限值,那么就会发生中断。if Then, for a 2 , there is no suitable value in this interval, which means that the secondary user 1 or the secondary user 2 cannot meet the predetermined SINR threshold, and then an interruption will occur.
因此,当功率分配因子式(17)的传输速率达到其最大值,即整个系统的吞吐量达到最大。Therefore, when the power allocation factor The transmission rate of formula (17) reaches its maximum value, that is, the throughput of the whole system reaches its maximum value.
综上所述,该方法保证了认知基站和中继的传输功率,对次级用户的传输速率提出了最低速率要求,建立了次级用户的速率优化模型并求解,本发明通过功率分配,优化了系统的有效吞吐量和频谱效率。In summary, this method ensures the transmission power of the cognitive base station and the relay, puts forward the minimum rate requirement for the transmission rate of the secondary user, establishes the rate optimization model of the secondary user and solves it, and the present invention uses power allocation, The effective throughput and spectrum efficiency of the system are optimized.
以上实施例仅用于说明本发明而并非限制本发明所描述的技术方案,对本说明书的理解应该以所属技术领域的技术人员为基础,尽管本说明书参照上述的实施例对本发明已进行了详细的说明,但是,本领域的普通技术人员应当理解,所属技术领域的技术人员仍然可以对本发明进行修改或者等同替换,而一切不脱离本发明的精神和范围的技术方案及其改进,均应涵盖在本发明的权利要求范围内。The above embodiments are only used to illustrate the present invention and are not intended to limit the technical solutions described in the present invention. The understanding of this description should be based on those skilled in the art, although this description has described the present invention in detail with reference to the above-mentioned embodiments. Note, however, those of ordinary skill in the art should understand that those skilled in the art can still modify the present invention or replace it equivalently, and all technical solutions and improvements that do not depart from the spirit and scope of the present invention should be covered in within the scope of the claims of the present invention.
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