Network coding for the Multiple Access Relay channel using lattices

Mohieddine El Soussi
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引用次数: 3

Abstract

We1 consider the problem of two transmitters would like to communicate with a destination with the help of a half-duplex relay. In this work, we are presenting the advantages of using nested lattices for the AWGN channels. The sources map their messages using lattice code and then broadcast them to the relay and the destination. The relay receives two independent symbols at the same channel. The relay either combines the two symbols using lattice modulo and then decode or decode the two symbols separately also using modulo lattice, then forwards the new symbol to the destination. The destination tries to recover the two messages using different decoding strategies. One of the strategies is to recover two linear equations in function of the two received symbols with integer coefficients then, solve these equations to recover the two messages. The integer coefficients need to be optimally selected to reduce the noise at the receivers. The other strategy is to use successive decoding at the relay and the destination. This strategy outperforms the first when two integer coefficients are zero. The strategies are discussed and compared with the traditional DF (Decode and Forward). The simulation results show the advantages of using lattice codes and the improvement in rates for certain regimes.
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使用格的多址中继信道的网络编码
我们考虑两个发射机希望在半双工中继的帮助下与目的地通信的问题。在这项工作中,我们展示了在AWGN通道中使用嵌套晶格的优点。源使用点阵码映射它们的消息,然后将它们广播到中继和目的地。继电器在同一信道上接收两个独立的信号。中继器可以使用格模将两个符号组合后再解码,也可以使用模格将两个符号分别解码,然后将新符号转发到目的地。目的地试图使用不同的解码策略来恢复这两条消息。其中一种策略是在接收到的两个整数系数符号的函数中恢复两个线性方程,然后求解这些方程来恢复两个消息。需要对整数系数进行优化选择,以降低接收机处的噪声。另一种策略是在中继和目的地使用连续解码。当两个整数系数为零时,该策略优于第一种策略。讨论了该策略,并与传统的DF(解码和转发)进行了比较。仿真结果表明,在一定条件下,采用点阵码可以提高码率。
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