In this work, a full-duplex (FD) variable gain amplify-and-forward multi-relay cooperative-diversity system with(out) a direct path (DP) between the source and destination is studied over independent identically (non-identically) distributed slow Rayleigh fading channels. Generalised relay selection, i.e. generalised selection transmission (GST) over relays is investigated for two extreme cases; single relay selection (RS) and use of all relays, i.e. maximum ratio transmission (MRT). By developing an equivalent link, the approximated probability density function (PDF) and cumulative distribution function (CDF) of a dual-hop link with FD relay are obtained, thereafter, the adopted approximated PDF and CDF are offered. Then, approximated and asymptotic expressions for outage probability, moment generating function, and symbol error rate (SER) of GST with(out) DP are derived. Additionally, approximated ergodic capacity expressions are also obtained. All theoretical results validated by Manto Carlo simulation technique show that the proposed approximations of dual-hop link with FD relay are robust and thus can be used to analyse such systems with FD relay, RS and MRT provide close performance which is significantly better than single relay. Additionally, for equal rates, substantial reduction in SER can be obtained by FD transmission as compared to half-duplex one.

中文翻译：

---

具有广义中继选择的协作式全双工AF中继网络的性能

在这项工作中，研究了全双工（FD）可变增益放大转发多中继协作分集系统，该系统在源和目标之间没有直接路径（DP）的情况下（独立地）进行了研究。分布式慢瑞利衰落信道。对于两种极端情况，研究了通用继电器选择，即继电器上的通用选择传输（GST）。单个继电器选择（RS）和所有继电器的使用，即最大传动比传输（MRT）。通过建立等效链路，可以得到带有FD中继的双跳链路的近似概率密度函数（PDF）和累积分布函数（CDF），然后提供所采用的近似PDF和CDF。然后，给出断电概率，矩生成函数的近似和渐近表达式，并推导出带有（不带）DP的GST的符号错误率（SER）。此外，还可以获得近似的遍历容量表达式。通过Manto Carlo仿真技术验证的所有理论结果均表明，所提出的带有FD继电器的双跳链路逼近的鲁棒性很强，因此可用于分析带有FD继电器的此类系统，RS和MRT的闭合性能明显优于单个继电器。另外，与半双工相比，对于相等的速率，通过FD传输可以大幅降低SER。通过Manto Carlo仿真技术验证的所有理论结果均表明，所提出的带有FD继电器的双跳链路逼近的鲁棒性很强，因此可用于分析带有FD继电器的此类系统，RS和MRT的闭合性能明显优于单个继电器。另外，与半双工相比，对于相等的速率，通过FD传输可以大幅降低SER。通过Manto Carlo仿真技术验证的所有理论结果均表明，所提出的带有FD继电器的双跳链路逼近的鲁棒性很强，因此可用于分析带有FD继电器的此类系统，RS和MRT的闭合性能明显优于单个继电器。另外，与半双工相比，对于相等的速率，通过FD传输可以大幅降低SER。