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Energy Efficiency Optimization in Massive MIMO Secure Multicast Transmission
Entropy ( IF 2.7 ) Pub Date : 2020-10-12 , DOI: 10.3390/e22101145
Bin Jiang , Linbo Qu , Yufei Huang , Yifei Zheng , Li You , Wenjin Wang

Herein, we focus on energy efficiency optimization for massive multiple-input multiple-output (MIMO) downlink secure multicast transmission exploiting statistical channel state information (CSI). Privacy engineering in the field of communication is a hot issue under study. The common signal transmitted by the base station is multicast transmitted to multiple legitimate user terminals in our system, but an eavesdropper might eavesdrop this signal. To achieve the energy efficiency utility–privacy trade-off of multicast transmission, we set up the problem of maximizing the energy efficiency which is defined as the ratio of the secure transmit rate to the power consumption. To simplify the formulated nonconvex problem, we use a lower bound of the secure multicast rate as the molecule of the design objective. We then obtain the eigenvector of the optimal transmit covariance matrix into a closed-form, simplifying the matrix-valued multicast transmission strategy problem into a power allocation problem in the beam domain. By utilizing the Minorize-Maximize method, an iterative algorithm is proposed to decompose the secure energy efficiency optimization problem into a sequence of iterative fractional programming subproblems. By using Dinkelbach’s transform, each subproblem becomes an iterative problem with the concave objective function, and it can be solved by classical convex optimization. We guarantee the convergence of the two-level iterative algorithm that we propose. Besides, we reduce the computational complexity of the algorithm by substituting the design objective with its deterministic equivalent. The numerical results show that the approach we propose performs well compared with the conventional methods.

中文翻译:

大规模 MIMO 安全组播传输中的能效优化

在此,我们专注于利用统计信道状态信息 (CSI) 对大规模多输入多输出 (MIMO) 下行链路安全组播传输进行能效优化。通信领域的隐私工程是一个正在研究的热点问题。基站传输的公共信号是多播传输到我们系统中的多个合法用户终端,但窃听者可能会窃听该信号。为了实现多播传输的能源效率效用 - 隐私权衡,我们设置了最大化能源效率的问题,该问题定义为安全传输速率与功耗的比率。为了简化公式化的非凸问题,我们使用安全多播速率的下界作为设计目标的分子。然后我们将最优传输协方差矩阵的特征向量转化为封闭形式,将矩阵值组播传输策略问题简化为波束域中的功率分配问题。利用Minorize-Maximize方法,提出了一种迭代算法,将安全能效优化问题分解为一系列迭代分数式规划子问题。通过使用丁克尔巴赫变换,每个子问题都变成了一个具有凹目标函数的迭代问题,可以通过经典的凸优化来解决。我们保证我们提出的两级迭代算法的收敛性。此外,我们通过用其确定性等价物代替设计目标来降低算法的计算复杂度。
更新日期:2020-10-12
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