记忆信道中基于三状态Markov链模型的多跳ARQ协议吞吐量的分析

Throughput Analysis of Multi-Hop ARQ Based on Three-State Markov Model over Memory Channels

摘要: 多跳中继技术可以有效地减少由于信道衰落所造成的无线通信的负面问题，因而在无线网络中被广泛应用。首先，本文介绍了瑞丽衰落信道，并且采用两状态的Gilbert Elliott信道模型对其“记忆性”进行了描述，从而得到信道在平稳状态下的状态转移概率。其次，通过建立多跳ARQ (Automatic Repeat Request)系统的三状态Markov链模型，得到了多跳ARQ系统在中继节点不丢包的状况下通信系统吞吐量的解析式。最后，我们考虑了中继节点丢包的状况并设定丢包的临界中继为第[N/2]个，通过多跳ARQ系统的三状态Markov链模型，得到了多跳ARQ系统在中继节点丢包的状况下通信系统吞吐量的解析式。事实上，通过比较可以得出中继不丢包较中继丢包具有更优的吞吐量性能。

Abstract: Multi-hop relaying is an effective technique to combat the negative impacts of wireless communication caused by channel fading, so it is widely used in wireless networks. Firstly, we introduced Ray-leigh fading channel and described the “memory” by using the two state Gilbert Elliott channel models, then obtained the state transition probability of the channel in stationary state. Secondly, we have established the three-state Markov chain model of the multi-hop ARQ (Automatic Repeat Request) system, and obtained the analytical solution for the throughput of multi-hop ARQ systems under the condition of the relay node without the packet loss. Finally, we considered the packet loss of relay nodes and set the critical relay for the packet loss to be [N/2]-th, and obtained the analytical solution for the throughput of multi-hop ARQ systems under the packet loss of relay nodes through the three-state Markov chain model of the multi-hop ARQ system. In fact, it can be concluded that the relay node without the packet loss has better throughput than the packet loss.