## Appendix A Proof of Capacity Gain in the Full-Duplex Case  
We revisit Theorem 4 in Section 5.2 and provide full proof, including the algebraic steps and derivations in this appendix. If the flying base station has full-duplex capability, it can be beneficial and provide greater capacity if  
\[P_{\F}>P_{\S}\cdot 2^{-\gamma} \tag{1}\]  
**Proof. **\(C_{FU}>C_{SU}\) using Equations (4) and (6), and \(d_{FU}=0.5d_{SU}\) yields \(P_{\text{F}}>P_{\text{S}}\cdot 2^{-\gamma}\). \[C_{FU} > C_{SU}\] \[W\;\text{log}_{2}(1+\eta\;2^{7}\;\text{SNR}_{SU}) > W\;\text{log}_{2}(1+\text{SNR}_{SU})\] \[1+\eta\;2^{7}\;\text{SNR}_{SU} > 1+\text{SNR}_{SU}\] \[\eta\;2^{7} > 1\] \[\eta > 2^{-\gamma}\] \[P_{\text{F}} > P_{\text{S}}\cdot 2^{-\gamma}\]  
The last inequality is from \(\eta=\frac{P_{\text{F}}}{P_{\  
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