Performance Analysis and Optimization of Cooperative Satellite-Aerial-Terrestrial Systems
Summary (2 min read)
- Aerial relays have been regarded as an alternative and promising solution to extend and improve satellite-terrestrial communications, as the probability of line-of-sight transmissions increases compared with adopting terrestrial relays.
- The ASER of a hybrid satellite-terrestrial decode-andforward (DF) relay network was evaluated in  while considering the effect of co-channel interference.
- 2) The approximated analytical expressions for the coverage probability (CP) of R-D links are derived for non-interference and interference scenarios, respectively;.
- 4) The optimal energy efficiency problem is formulated and solved via optimizing the transmit power and time allocation over the two hops to realize the optimal e2e energy efficiency performance of the considered CSATC system.
- In Section II, the considered CSATC system is described.
A. Non-Interference Scenario
- As one of the most important metrics to evaluate the performance of wireless networks (especially for some application scenarios, e.g., battlefield and hot-spots), CP is defined as the probability that a typical user can achieve some threshold of SNR/SINR.
- The authors will analyze the coverage performance of R-Di link, while considering the randomness of the positions of terrestrial receivers.
- The authors assume there is an interfering node existing in the neighbor area of the target terminal, Di, while R delivering information bits to Di.
- In order to facilitate the following analysis, spherical coordinates are adopted, while E is set as the original.
- As presented in Fig. 1, intuitively, there exists an optimal transmit power and transmission time allocation over S-R and R-D hops to achieve optimal e2e energy efficiency for the considered CSATC system.
A. Problem Formation
- Similar to , in this work energy efficiency is adopted to evaluate the efficiency of the energy consumption on delivering the information bits, which is defined as the number of delivered bits over S-R-Di link with unit-joule consumption.
- Therefore, the following optimization problem is considered:.
- How to optimally allocate the transmit power and transmission time over S-R and R-Di links so that the energy efficiency of the considered system is maximized.
- PmaxS and PmaxR denotes the maximum transmit power at S and R, respectively.
- C4 and C5 ensures the low bounds of the transmission time for the two hops, respectively.
B. Solution of the Problem OPT-2
- Moreover, there are some packets on various platforms to solve such a simple form transcendental equation, such as Mathematica.
- The proposed iterative algorithm consists of only one loop, it has a polynomial time complexity, i.e., O(N).
- Furthermore, the authors run 1 × 106 times of the realizations of the considered system and 1 × 106 trials of Monte-Carlo simulations, to model the randomness of the positions of the considered terminals and channel gains over each link.
B. Outage Performance
- Fig. 9 presents the outage performance over S-R link for various Ψ, while Ω increasing.
- Because Ω represents the average power of the LOS components of the received signal at R. Finally, the authors can also easily see that simulation and numerical results match well with each other, which confirms the correctness of the proposed analytical model presented in Section IV.
- The authors will present some simulation results of the e2e outage performance of the considered system shown in Fig.
C. Optimal Energy Efficiency Design
- The authors will present the e2e energy efficiency for non-interference and interference scenarios by using the proposed optimization method, which is given in Section V.
- The authors can observe that the proposed Algorithm 1 achieves convergence within five iterations.
- This observation can be explained the fact that the path loss over S-R link will dominate the main power consumption over S-R-D link when d0 is sufficiently large, e.g., the value of d0 ranges from 1600 km to 1800 km considered in Fig. 15, which is quite larger than the one of H1 ranging from 5 km to 30 km.
- An et al., “Performance analysis of multi-antenna hybrid satellite-terrestrial relay networks in the presence of interference,” IEEE Trans.
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Q1. What are the contributions in "Performance analysis and optimization of cooperative satellite-aerial-terrestrial systems" ?
In this paper, a cooperative satellite-aerial-terrestrial system including a satellite transmitter ( S ), a group of terrestrial receivers ( D ), and an aerial relay ( R ) is considered. Specifically, considering the randomness of S and D and employing stochastic geometry, the coverage probability of R-D links in non-interference and interference scenarios is studied, and the outage performance of S-R link is investigated by deriving an approximated expression for the outage probability.