Exact Symbol Error Probability of Hybrid/Integrated Satellite-Terrestrial Cooperative Network

Abstract

In this paper, we study the Symbol Error Probability (SEP) performance of a hybrid/integrated satellite-terrestrial cooperative network. In particular, we focus on the case of mobile relays that forward the satellite signal to a masked mobile destination node. The Selective Decode-and-Forward (SDF) transmission scheme is implemented and only the relay nodes which can successfully decode the satellite message are selected to retransmit the signal. The destination node exploits the spatial diversity advantages by implementing a typical Maximum Ratio Combining (MRC) technique. The closed-form expressions for the exact average SEP of the arbitrary M-ary phase shift keying and M-ary quadrature amplitude modulation signaling with MRC diversity reception over independent but not necessarily identically distributed fading channels are derived using a Moment Generating Function (MGF) approach. These closed-form expressions are represented in terms of a finite sum of Lauricella hypergeometric functions. The analytical expressions show excellent agreement with the simulation results. Numerical results show that for a system using QPSK under the frequent heavy shadowed fading condition, the diversity gain of approximately 7 dB can be obtained at the SEP of 10 −1 with respect to the direct transmission, when only one relay is used. It increases to around 12 dB in the case of 3 relays.

On the secrecy performance of integrated satellite‐aerial‐terrestrial networks

“…In many mathematical models describing satellite channel, the SR model is a popular one due to the less computational cost . We assume that is subject to the SR fading distribution.…”

Ergodic Channel Capacity Analysis of Downlink in the Hybrid Satellite-Terrestrial Cooperative System

“…Multi-path and shadowing effects caused by bad weather, trees, buildings, etc. become even more severe [2].…”

“…The hybrid satellite-terrestrial cooperative system is an effective solution to expand the coverage of satellite when the channel condition is bad [1,2]. It differs from the land mobile satellite system by deploying the gap fillers on the ground.…”

“…And the impact of the satellite elevation angle on the outage probability is also investigated. The system performance of the hybrid satelliteterrestrial AF cooperative system and DF cooperative system, in terms of the symbol error rate (SER), is analytically evaluated under different modulation schemes in [2,4], respectively. The results indicate that at the most second order diversity and full order diversity can be obtained in the AF cooperative system and the DF cooperative system, respectively.…”

“…In addition, the closed-form expressions of the outage probability and SER of the hybrid satellite-terrestrial AF cooperative system with multiple relay nodes are derived in [5]. All the related works in [2][3][4][5] show that, compared with the land mobile satellite system, the hybrid satellite-terrestrial cooperative system performs well in achieving a higher reliability. In this paper, we will focus on the system performance of the hybrid satellite-terrestrial cooperative system, in terms of the ergodic channel capacity.…”