中文摘要：

为了解决译码转发（DF）协作中继信道编译码复杂度较高的问题，针对DF协作时分半双工中继信道，基于极化编码设计思想进行了研究。建立了DF协作中继信道模型，分析了DF协作中继信道的可达速率，根据可达速率设计了一种具有相同时隙分配的极化乘积编码方案。该方案使中继节点在可靠译出来自信源节点的数据后重新编码，并发送边信息来帮助信宿节点准确地估计来自信源节点的数据。仿真结果表明，此极化乘积编码方案具有较低的编译码复杂度，而且在低信噪比条件下，与直传链路相比可以获得较为理想的比特错误率（BER）性能。

英文摘要：

The study was performed based on the concept of polar coding to solve the problem of high encoding and cleco- ding complexity of decode-and-forward （DF） cooperative relay channels obeying the time division half-duplex mode. A DF relay channel model for cooperative communications was established, and then the achievable rate of the DF cooperative relay channels was analyzed. Furthermore, according to the analysis, a polar product coding scheme with equal time slots was designed based on the polar coding concept. Under the scheme, the received data from the source can be decoded reliably at the relay. With the help of the side information sent from the relay, the destination can estimate the transmitted data from the source correctly. The proposed polar product coding scheme has a low coding/decoding complexity. The simulation results show that, under the low signal to noise ratio （SNR）, the scheme can obtain the better bit error rate （BER） performance compared to direct link.