# Stable Throughput Analysis of Heterogeneous Hybrid FSO/RF Networks with Cognitive Radio Capability
## Appendix A The Rate of Successful Packet Transmission on COG
### Stay and Switch Mode
Then, we have  
\[+(1-s_{f_{0},\mathtt{HY}})(1-s_{f_{2},\mathtt{HY}})s_{f_{1}, \mathtt{HY}}),\]6 \[+(1-s_{f_{0},\mathtt{HY}})(1-s_{f_{2},\mathtt{HY}})s_{f_{1}, \mathtt{HY}}),\]7 (16) \[+(1-s_{f_{0},\mathtt{HY}})(1-s_{f_{2},\mathtt{HY}})s_{f_{1}, \mathtt{HY}}),\]8 \[+(1-s_{f_{0},\mathtt{HY}})(1-s_{f_{2},\mathtt{HY}})s_{f_{1}, \mathtt{HY}}),\]9 \[v_{\texttt{HY},2,1} = p_{d,\texttt{HY}}[s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}}}(1-(1-p_ {d,\texttt{RD}})s_{f_{2,\texttt{RD}}})+s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}} }^{I}(1-p_{d,\texttt{RD}})s_{f_{2,\texttt{RD}}}] \tag{12}\]0 \[v_{\texttt{HY},2,1} = p_{d,\texttt{HY}}[s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}}}(1-(1-p_ {d,\texttt{RD}})s_{f_{2,\texttt{RD}}})+s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}} }^{I}(1-p_{d,\texttt{RD}})s_{f_{2,\texttt{RD}}}] \tag{12}\]1 \[v_{\texttt{HY},2,1} = p_{d,\texttt{HY}}[s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}}}(1-(1-p_ {d,\texttt{RD}})s_{f_{2,\texttt{RD}}})+s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}} }^{I}(1-p_{d,\texttt{RD}})s_{f_{2,\texttt{RD}}}] \tag{12}\]2  
\[v_{\texttt{HY},2,1} = p_{d,\texttt{HY}}[s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}}}(1-(1-p_ {d,\texttt{RD}})s_{f_{2,\texttt{RD}}})+s_{f_{0,\texttt{HY}}}s_{f_{2,\texttt{HY}} }^{I}(1-p_{d,\texttt{RD}})s_{f_{2,\texttt{RD}}}] \tag{12}\]3 (17) \[v_{\texttt{RQ},2,1} = s_{f_{1,\texttt{RD}}}s_{f_{2,\texttt{RD}}}(1-p_{d,\texttt{RD}})[s_{f _{0,\texttt{HY}}}+(1-s_{f_{0,\texttt{HY}}})(1-s_{f_{2,\texttt{HY}}})(p_{d, \texttt{HY}}+(1-p_{d,\texttt{HY}})(1-s_{f_{1,* [PERSON] et al. (2018) [PERSON]; [PERSON] [PERSON]; [PERSON], [PERSON]; [PERSON], [PERSON] Novel architectures for efficient RF usage in hybrid FSO/RF system. In Proceedings of the 2018 IEEE International Conference on Advanced Networks and Telecommunications Systems (ANTS), Indore, India, 16-19 December 2018; pp. 1-6. * [PERSON] et al. (2019) [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON], [PERSON] Impact of atmospheric turbulence, pointing error, and traffic pattern on the performance of cognitive hybrid FSO/RF System. _IEEE Tran. Coggiti. Commun. Netw._**2019**, \(5\), 1194-1207. [CrossRef]
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