Interleaving Channel Estimation and Limited Feedback for Point-to-Point Systems With a Large Number of Transmit Antennas
Interleaving Channel Estimation and Limited Feedback for Point-to-Point Systems With a Large Number of Transmit Antennas
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DOI：
10.1109/twc.2018.2864204
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发表时间：
2018-08
影响因子：
10.4
通讯作者：
Erdem Koyuncu;Xun Zou;H. Jafarkhani
中科院分区：
文献类型：
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作者：
Erdem Koyuncu;Xun Zou;H. Jafarkhani
我们介绍和研究了训练和反馈阶段相互交错和相互作用的多天线通信方案的机会。具体来说，与发射器首先训练其所有天线然后接收单个反馈信息的传统方案不同，我们考虑了一种方案，即发射器逐个训练其天线，并在训练每个天线后立即接收反馈信息。反馈信息可以要求发射机训练另一天线；或者，它可以终止反馈/训练阶段并提供用于数据传输的量化码字（例如，波束形成矢量）。作为一个具体的应用，我们考虑了一个多输入单输出系统，它具有$t$发射天线，短期功率约束$P$，目标数据速率$\rho $。我们证明了对于任何$t$，当每个信道状态的反馈率为$R_{1}$比特时，通过平均训练$R_{2}$发射天线，即$R_{1}$和$R_{2}$与t无关，仅依赖于$\rho $和$P$，可以获得与具有完美发送端和接收端信道状态信息的系统相同的中断概率。此外，我们还为信道系数设计了可变速率量化器，以进一步减小方案的反馈速率。
We introduce and investigate the opportunities of multi-antenna communication schemes whose training and feedback stages are interleaved and mutually interacting. Specifically, unlike the traditional schemes, where the transmitter first trains all of its antennas at once and then receives a single feedback message, we consider a scenario, where the transmitter instead trains its antennas one by one and receives feedback information immediately after training each one of its antennas. The feedback message may ask the transmitter to train another antenna; or, it may terminate the feedback/training phase and provide the quantized codeword (e.g., a beamforming vector) to be utilized for data transmission. As a specific application, we consider a multiple-input single-output system with $t$ transmit antennas, a short-term power constraint $P$ , and target data rate $\rho $ . We show that for any $t$ , the same outage probability as a system with perfect transmitter and receiver channel state information can be achieved with a feedback rate of $R_{1}$ bits per channel state and via training $R_{2}$ transmit antennas on average, where $R_{1}$ and $R_{2}$ are independent of t, and depend only on $\rho $ and $P$ . In addition, we design variable-rate quantizers for channel coefficients to further minimize the feedback rate of our scheme.