CN103052078A - Pricing method for maximizing revenue of primary user in cognitive network - Google Patents
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Abstract
本发明公开认知网络中一种最大化主用户收益的方法,包括:初始化次用户功率;根据次用户初始化功率判断是否满足次用户的最大干扰功率限制,如果条件满足,给出主用户的定价方法,方法结束;否则,进入下一步;针对第二步次用户初始化功率不满足最大干扰功率限制情况,迭代搜索次用户功率;第四步:通过遍历第三步迭代搜索获得的次用户功率,找到一组最大化主用户收益的次用户的功率,根据该功率,主用户给出定价。本发明在主用户知道次用户对于自己干扰信道信息的情况下,通过至多n次迭代就可以搜索到主用户的最优定价,在每次搜索时的次用户功率通过解析表达式计算获得,具有搜索速度快、实用性和可行性强的优点。
The invention discloses a method for maximizing primary user revenue in a cognitive network, including: initializing secondary user power; judging whether the maximum interference power limit of the secondary user is satisfied according to the secondary user initialization power, and if the condition is met, giving the primary user's pricing method, the method ends; otherwise, enter the next step; for the second step, the initial power of the secondary user does not meet the maximum interference power limit, iteratively search the secondary user power; the fourth step: traverse the secondary user power obtained in the third step iterative search, Find the power of a set of secondary users that maximizes the primary user's revenue, and based on this power, the primary user gives a price. In the present invention, when the primary user knows the channel information of the secondary user interfering with itself, the optimal pricing of the primary user can be searched for at most n iterations, and the power of the secondary user in each search is obtained by calculating the analytical expression, which has the advantages of The advantages of fast search speed, strong practicability and feasibility.
Description
技术领域 technical field
本发明涉及频谱资源管理技术领域,具体是认知网络中最大化主用户收益的定价方法。The invention relates to the technical field of spectrum resource management, in particular to a pricing method for maximizing primary user revenue in a cognitive network.
背景技术 Background technique
在频谱共享情况下,主用户可以通过对次用户造成的干扰进行收费而允许次用户采用适当的功率接入自身频谱。对于主用户,首先为了保证自身的服务质量,需要对于每个次用户采用合理的定价方法使得次用户对其造成的总干扰小于一定的门限;同时,由于价格影响次用户的需求,为了最大化自己收益,主用户需要采用一种较好的定价方法。因此,为了保证次用户接入时的干扰不影响主用户的正常通信和最大化主用户的收益,需要主用户对于各个次用户造成的干扰进行合理的定价。由于主用户的定价太低会造成次用户的干扰过大,从而大于主用户的干扰门限;主用户的定价过高,降低了次用户的购买需求,从而使得自身的收益减少。所以,需要一种较好的定价方法在保证主用户服务质量的前提下,最大化户主用户的收益。In the case of spectrum sharing, the primary user can allow the secondary user to access its own spectrum with appropriate power by charging for the interference caused by the secondary user. For the primary user, in order to ensure its own service quality, it is necessary to adopt a reasonable pricing method for each secondary user so that the total interference caused by the secondary user is less than a certain threshold; at the same time, because the price affects the demand of the secondary user, in order to maximize To benefit themselves, the main user needs to adopt a better pricing method. Therefore, in order to ensure that the interference when the secondary user accesses does not affect the normal communication of the primary user and maximize the profit of the primary user, it is necessary for the primary user to price the interference caused by each secondary user reasonably. If the primary user's price is too low, the secondary user's interference will be too large, which is greater than the primary user's interference threshold; if the primary user's price is too high, the secondary user's purchase demand will be reduced, thereby reducing its own income. Therefore, a better pricing method is needed to maximize the income of the head user on the premise of ensuring the service quality of the main user.
近年来,在认知网络中将定价方法来最大化主用户收益进行研究正受到越来越多的关注。对现有文献检索发现,相关文献如下:In recent years, the study of pricing methods to maximize primary user benefits in cognitive networks has received increasing attention. Existing literature search found that the relevant literature is as follows:
Hui Yu等人在《2010 IEEE Transactions on Vehicular Technology,May.2010,vol.59,no.4,pp.1769–1778.》上发表了题为“Pricing for uplink power controlin cognitive radio networks”的文章。该文章中次用户可以租借主用户的频谱,在一定干扰门限下容许次用户接入。该模型由于主用户最大化效用函数式非凸的,文章将主用户的策略设定成一定的线性比例关系,然后将主用户的收益问题转化为一个单变量的优化问题来求解出一组定价,然而该方法只能获得一个次优的定价算法。Hui Yu et al published an article entitled "Pricing for uplink power controlin cognitive radio networks" in "2010 IEEE Transactions on Vehicular Technology, May.2010, vol.59, no.4, pp.1769–1778." In this article, the secondary user can rent the spectrum of the primary user, and the secondary user is allowed to access under a certain interference threshold. The model is non-convex because the main user maximizes the utility function. The article sets the main user's strategy to a certain linear proportional relationship, and then transforms the main user's income problem into a univariate optimization problem to solve a set of pricing , however this method can only obtain a suboptimal pricing algorithm.
Yuan Wu等人在《2011 IEEE Transactions on Wireless Communications,Jan.2011,vol.10,no.1,pp.12-19.》上发表了题为“Joint Pricing and Power Allocationfor Dynamic Spectrum Access Networks with Stackelberg Game Model”的文章。该文章提出了一种新的定价模型,该模型考虑到保证主用户服务质量,将认知网络中联合定价和功率控制的问题建模为Stackelberg博弈问题,提出了一种低复杂度的启发算法来最大化主用户的收益。Yuan Wu et al published a paper entitled "Joint Pricing and Power Allocation for Dynamic Spectrum Access Networks with Stackelberg Game" in "2011 IEEE Transactions on Wireless Communications, Jan.2011, vol.10, no.1, pp.12-19." Model” article. This article proposes a new pricing model, which considers the quality of service of the primary user, models the problem of joint pricing and power control in the cognitive network as a Stackelberg game problem, and proposes a low-complexity heuristic algorithm To maximize the main user's income.
由相关研究可知,为了最大化主用户的收益,同时满其服务质量,需要主用户对于次用户采用一个较合理的定价方法。本发明基于主用户的效用函数关于干扰功率的单调性,将主用户收益的非凸问题转化为一个等价凸问题,提出了一种最大化主用户收益的定价方法。According to relevant research, in order to maximize the primary user's revenue and satisfy its service quality, it is necessary for the primary user to adopt a more reasonable pricing method for secondary users. Based on the monotonicity of the utility function of the primary user with respect to the interference power, the invention transforms the non-convex problem of the primary user's income into an equivalent convex problem, and proposes a pricing method for maximizing the primary user's income.
发明内容 Contents of the invention
本发明针对现有的认知网络中主用户的定价方法不能保证最大化主用户收益的不足,提供了一种最大化主用户收益的定价方法。本发明能够使得主用户在知道次用户的链路信道信息和速率的偏好权重的情况下,通过一种迭代的方法来实现最大化主用户收益。该定价方法在保证次用户对于主用户的干扰小于给定的干扰门限的前提下,找到最大化主用户收益的最优解,比传统基于线性比例的定价方法提高了主用户的收益,并增加了次用户网络的总的收益和吞吐量。The present invention provides a pricing method for maximizing the primary user's revenue aiming at the deficiency that the existing pricing method for the primary user in the cognitive network cannot guarantee the maximization of the primary user's revenue. The present invention enables the primary user to maximize primary user revenue through an iterative method under the condition of knowing the link channel information of the secondary user and the preference weight of the rate. This pricing method finds the optimal solution for maximizing the primary user's revenue under the premise that the secondary user's interference with the primary user is less than a given interference threshold, which improves the primary user's revenue and increases the primary user's revenue compared with the traditional linear proportional pricing method The total revenue and throughput of the sub-user network.
根据本发明的一个方面,提供一种认知网络中最大化主用户收益的定价方法包括如下具体步骤:According to one aspect of the present invention, a pricing method for maximizing primary user revenue in a cognitive network includes the following specific steps:
第一步:初始化次用户功率;Step 1: Initialize the secondary user power;
第二步:根据次用户初始化功率判断是否满足次用户的最大干扰功率限制,如果条件满足,给出主用户的定价方法,方法结束;否则,进入第三步;The second step: judging whether the maximum interference power limit of the secondary user is satisfied according to the initial power of the secondary user, if the condition is satisfied, the pricing method of the primary user is given, and the method ends; otherwise, enter the third step;
第三步:针对第二步次用户初始化功率不满足最大干扰功率限制情况,迭代搜索次用户功率;Step 3: Iteratively search for the power of the secondary user in view of the fact that the initial power of the secondary user does not meet the maximum interference power limit in the second step;
第四步:通过遍历第三步迭代搜索获得的次用户功率,找到一组最大化主用户收益的次用户的功率,根据该功率,主用户给出定价。Step 4: By traversing the power of the secondary users obtained in the iterative search in the third step, find a group of secondary user powers that maximize the primary user's revenue. According to the power, the primary user gives a price.
优选地,在第一步中,具体地,初始化各个次用户i的发射功率pi:
其中,wi为次用户i的偏好因子,n为次用户的个数,L是认知用户的扩频增益,T是主用户的干扰门限,hi是次用户i到基站处的信道增益,σ2是背景噪声;参数λ通过方程
优选地,在第二步中,具体地,如果对于所有的i∈{1,…,n},条件hipi≤Pmax,成立,其中Pmax为每个次用户最大干扰功率,主用户的定价为:次用户的发射功率i=1,…,n,定价结束;如果条件不成立,转到第三步。Preferably, in the second step, specifically, if for all i∈{1,…,n}, the condition h i p i ≤P max holds, where P max is the maximum interference power of each secondary user, the primary user pricing for: The transmit power of the secondary user i=1,...,n, the pricing ends; if the condition is not satisfied, go to the third step.
优选地,在第三步中,具体地,对于所有小于的k值时,令i=k-1,j=1,…,i-1,第k次迭代次用户j的功率由等式
获得,更新迭代次数到k+1次,其中,该方程组中 Obtain, update the number of iterations to k+1 times, where, in the equation system
优选地,在第四步中,具体地,主用户定价为:i=1,…,n,其中为次用户i的在主用户最优定价下对应的最佳发射功率:其中,为第j次迭代次用户i的功率,为第k次迭代次用户i的功率。Preferably, in the fourth step, specifically, the main user sets the price for: i=1,...,n, where is the optimal transmit power of secondary user i under the optimal pricing of primary user: in, is the power of user i in the jth iteration, is the power of user i in the kth iteration.
与现有技术相比,本发明的有益效果是:本发明通过主用户的最优性条件来搜索最大化主用户收益的定价策略,较传统的基于线性比例约束的定价方法而言可以找到最大化主用户收益的定价,而不是一组次优的定价。本发明所提供的方法在提高了主用户的收益的同时,还可以提高次用户的收益和吞吐量。由于算法具有解析表达式,因此执行速度快,具有较好的可行性和实用性。Compared with the prior art, the beneficial effect of the present invention is: the present invention searches for the pricing strategy that maximizes the primary user's revenue through the optimality condition of the primary user, and can find the maximum value compared with the traditional pricing method based on linear proportional constraints Pricing that maximizes user benefits, rather than a set of suboptimal pricing. The method provided by the invention can improve the income and throughput of the secondary user while improving the income of the primary user. Because the algorithm has an analytical expression, it has fast execution speed and good feasibility and practicability.
附图说明 Description of drawings
通过阅读参照以下附图对非限制性实施例所作的详细描述,本发明的其它特征、目的和优点将会变得更明显:Other characteristics, objects and advantages of the present invention will become more apparent by reading the detailed description of non-limiting embodiments made with reference to the following drawings:
图1为根据本发明提供的认知网络中最大化主用户收益的定价方法的流程图;Fig. 1 is the flowchart of the pricing method for maximizing primary user revenue in the cognitive network provided according to the present invention;
图2为本发明在干扰功率门限从0增加到20时的主用户收益曲线图;Fig. 2 is the primary user benefit curve diagram when the interference power threshold increases from 0 to 20 in the present invention;
图3为本发明在干扰功率门限从0增加到20时的次用户总收益曲线图;Fig. 3 is the secondary user total revenue curve when the interference power threshold increases from 0 to 20 in the present invention;
图4为本发明在干扰功率门限从0增加到20时的次用户和速率曲线图。FIG. 4 is a curve diagram of secondary users and rates when the interference power threshold increases from 0 to 20 in the present invention.
具体实施方式 Detailed ways
下面结合附图对本发明的实施例作详细说明:本实施例在以本发明技术方案为前提下进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The embodiments of the present invention are described in detail below in conjunction with the accompanying drawings: this embodiment is implemented on the premise of the technical solution of the present invention, and detailed implementation methods and specific operating procedures are provided, but the protection scope of the present invention is not limited to the following the described embodiment.
本实施例为最大化主用户收益的定价方案,背景噪声为零均值的高斯白噪声取值σ2=10,次用户的扩频增益L=32,次用户的链路增益h是满足[0,1]上的均匀分布,次用户的偏好因子是[0,300]的均匀分布,结果通过104次仿真进行平均。This embodiment is a pricing scheme for maximizing the income of the primary user. The background noise is Gaussian white noise with zero mean value σ 2 =10, the spreading gain of the secondary user is L=32, and the link gain h of the secondary user satisfies [0 ,1], the preference factor of the secondary user is uniformly distributed in [0,300], and the results are averaged over 10 4 simulations.
第一步,初始化各个次用户的发射功率:
第二步,如果对于所有的i∈{1,…,n},有hipi≤Pmax成立,其中Pmax为每个次用户到基站的最大接收功率,那么次用户的定价为:次用户的发射功率为:i=1,…,n,定价结束。否则,转到第三步。In the second step, if for all i∈{1,…,n}, h i p i ≤ P max holds true, where P max is the maximum received power from each secondary user to the base station, then the secondary user’s pricing for: The transmit power of the secondary user for: i=1,...,n, pricing ends. Otherwise, go to step three.
第三步:当时,令i=k-1,j=1,…,i-1。第k次迭代次用户j的功率由等式Step Three: When , let i=k-1, j=1,...,i-1. The power of user j at the kth iteration by the equation
其中,Tk是方程组:where T k is the system of equations:
的解,更新迭代次数到k+1次,其中,该方程组中 The solution, update the number of iterations to k+1 times, where, in the equation system
第四步:令那么次用户的发射功率为:
所述次用户初始化功率为:
所述主用户的最优定价准则为:如果对于所用次用户到基站功率小于Pmax,那么主用户的定价为:其中:为次用户i的发射功率。如果有至少一个次用户到基站功率大于Pmax,那么通过如下迭代搜索获得可能的最优发射功率。The optimal pricing criterion for the primary user is: if the power to the base station for the secondary user used is less than P max , then the pricing for the primary user is: in: is the transmit power of secondary user i. If there is at least one secondary user whose power to the base station is greater than P max , then the possible optimal transmit power is obtained through the following iterative search.
所述迭代搜素如下:The iterative search is as follows:
当时,令i=k-1,j=1,…,i-1.when , let i=k-1, j=1,...,i-1.
其中Tk是方程组:where T k is the system of equations:
的解,其中,该方程组中 更新迭代次数到k+1次;The solution of , where, in this system of equations Update the number of iterations to k+1 times;
所述主用户的最佳定价为:
在本实施例中,图2给出了分别采用比例线性定价方法和本实施例方法得到的主用户收益曲线图;图3是分别采用比例线性定价方法和本实施例方法得到的次用户总收益曲线图;图4是分别采用比例线性定价方法和本实施例方法得到的次用户和速率曲线图。由图2可见:所提实施方法较比例线性定价方法获得了更高的主用户收益。由图3可见:所提方法较比例线性定价方法获得的次用户的总收益更高,由图4可见:所提方法较比例线性定价方法获得的次用户的和速率更高。结合图2、图3、图4可知所提方法比传统的基于代价方法提升认知网络的和速率。该方法获得了主用户的最优定价策略,所提方法能够有效地解决认知网络中基于定价的功率控制等相关问题。In this embodiment, Figure 2 shows the primary user revenue curve obtained by using the proportional linear pricing method and the method of this embodiment respectively; Figure 3 is the total revenue of the secondary users obtained by using the proportional linear pricing method and the method of this embodiment respectively Graph; FIG. 4 is a graph of secondary users and rates obtained by using the proportional linear pricing method and the method of this embodiment respectively. It can be seen from Figure 2 that the proposed implementation method obtains higher primary user benefits than the proportional linear pricing method. It can be seen from Figure 3 that the total revenue of the secondary users obtained by the proposed method is higher than that obtained by the proportional linear pricing method. It can be seen from Figure 4 that the sum rate of the secondary users obtained by the proposed method is higher than that obtained by the proportional linear pricing method. Combined with Figure 2, Figure 3, and Figure 4, it can be seen that the proposed method improves the sum rate of the cognitive network compared with the traditional cost-based method. This method obtains the optimal pricing strategy of the primary user, and the proposed method can effectively solve related problems such as pricing-based power control in cognitive networks.
以上对本发明的具体实施例进行了描述。需要理解的是,本发明并不局限于上述特定实施方式,本领域技术人员可以在权利要求的范围内做出各种变形或修改,这并不影响本发明的实质内容。Specific embodiments of the present invention have been described above. It should be understood that the present invention is not limited to the specific embodiments described above, and those skilled in the art may make various changes or modifications within the scope of the claims, which do not affect the essence of the present invention.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103744399A (en) * | 2014-01-10 | 2014-04-23 | 上海交通大学 | Dynamic network control method used for vehicle participatory sensing system |
CN104010288A (en) * | 2014-05-22 | 2014-08-27 | 上海交通大学 | Optimal Power Control Method Based on Pricing in Cognitive Networks |
CN107172624A (en) * | 2017-04-20 | 2017-09-15 | 浙江工业大学 | A kind of frequency spectrum pricing method based on secondary user's normal state preference distribution |
CN111246486A (en) * | 2020-01-13 | 2020-06-05 | 中原工学院 | Cognitive Network of Imperfect Perception Based on Stackberg Game Resource Allocation Method |
Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102695131A (en) * | 2012-05-18 | 2012-09-26 | 上海交通大学 | Distributed power control method in cognitive network on basis of cooperative game |
-
2012
- 2012-12-21 CN CN201210563841.4A patent/CN103052078B/en not_active Expired - Fee Related
Patent Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102695131A (en) * | 2012-05-18 | 2012-09-26 | 上海交通大学 | Distributed power control method in cognitive network on basis of cooperative game |
Non-Patent Citations (2)
Title |
---|
SHAMIK SENGUPTA等: "An Economic Framework for Dynamic Spectrum Access and Service Pricing", 《IEEE/ACM TRANSACTIONS ON NETWORKING》 * |
罗丽平等: "具有约束条件的认知无线电网络最优频谱价格函数", 《电子学报》 * |
Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103744399A (en) * | 2014-01-10 | 2014-04-23 | 上海交通大学 | Dynamic network control method used for vehicle participatory sensing system |
CN103744399B (en) * | 2014-01-10 | 2016-01-06 | 上海交通大学 | Dynamic network control method in a kind of vehicle participatory sensory perceptual system |
CN104010288A (en) * | 2014-05-22 | 2014-08-27 | 上海交通大学 | Optimal Power Control Method Based on Pricing in Cognitive Networks |
CN104010288B (en) * | 2014-05-22 | 2017-07-11 | 上海交通大学 | Optimal power control method based on price in cognition network |
CN107172624A (en) * | 2017-04-20 | 2017-09-15 | 浙江工业大学 | A kind of frequency spectrum pricing method based on secondary user's normal state preference distribution |
CN111246486A (en) * | 2020-01-13 | 2020-06-05 | 中原工学院 | Cognitive Network of Imperfect Perception Based on Stackberg Game Resource Allocation Method |
CN111246486B (en) * | 2020-01-13 | 2021-05-28 | 中原工学院 | Cognitive Network of Imperfect Perception Based on Stackberg Game Resource Allocation Method |
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