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arXiv 2012.07289eess.SP
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基于强对偶的QCQP量化信道反馈下的鲁棒下行传输优化

Robust Downlink Transmit Optimization under Quantized Channel Feedback via the Strong Duality for QCQP

Xianming Li, Yongwei Huang, Wing-Kin Ma

摘要:

考虑频分复用系统中多输入单输出下行链路波束形成的鲁棒优化问题。基站(BS)向用户发送训练信号,每个用户估计信道系数,量化估计的信道的增益和方向,并将它们发送回BS。假设发射机处的信道状态信息主要由于信道方向量化误差、信道估计误差和过时信道效应而不完全已知。实际信道被建模为在由两个不等式齐次约束和一个不等式非齐次二次约束组成的不确定性集合中,以考虑上述误差和影响。然后,发射功率最小化问题制定了鲁棒的信号噪声加干扰比的约束。每个鲁棒约束等价地转化为关于波束形成向量的二次矩阵不等式(QMI)约束。该变换是通过一个等价的相位旋转过程和一个二次约束二次规划的强对偶结果来实现的。相应地,最小化问题转化为QMI问题,并通过附加有效凸约束的约束线性矩阵不等式松弛来解决问题。仿真结果证明了所提出的方法的性能,并显示限制松弛的效率。

英文摘要:

Consider a robust multiple-input single-output downlink beamforming optimization problem in a frequency division duplexing system. The base station (BS) sends training signals to the users, and every user estimates the channel coefficients, quantizes the gain and the direction of the estimated channel and sends them back to the BS. Suppose that the channel state information at the transmitter is imperfectly known mainly due to the channel direction quantization errors, channel estimation errors and outdated channel effects. The actual channel is modeled as in an uncertainty set composed of two inequality homogeneous and one equality inhomogeneous quadratic constraints, in order to account for the aforementioned errors and effects. Then the transmit power minimization problem is formulated subject to robust signal-to-noise-plus-interference ratio constraints. Each robust constraint is transformed equivalently into a quadratic matrix inequality (QMI) constraint with respect to the beamforming vectors. The transformation is accomplished by an equivalent phase rotation process and the strong duality result for a quadratically constrained quadratic program. The minimization problem is accordingly turned into a QMI problem, and the problem is solved by a restricted linear matrix inequality relaxation with additional valid convex constraints. Simulation results are presented to demonstrate the performance of the proposed method, and show the efficiency of the restricted relaxation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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