Performance analysis of land mobile satelliteterrestrial systems with selection relaying

Capacity Analysis of Hybrid Satellite–Terrestrial Systems with Selection Relaying

“…In this paper, we derive the novel analytical expressions for the outage probability for the arbitrary threshold at the relay, which can be different from the threshold at the destination, extending our previous results published in [34], which were based on more general probability density functions. Additionally, we derive novel expressions for the outage capacity and ergodic capacity, providing the corresponding numerical results; • We derive the analytical expressions for the probability density function of the received SNR at the destination for the given threshold at the relay; • We derive the analytical expressions for the outage capacity of the system, which is a relevant performance measure for applications with delay constraints; • We derive the relevant analytical expressions for the ergodic capacity of the analyzed system for applications with no delay requirements; • All analytical expressions derived in the paper are given in polynomial-exponential form, and they are valid for the general case of the shadowed Rice fading environment with the integer-valued fading parameter at the satellite-terrestrial links and Nakagami-m fading environment at the terrestrial link; • The derived expressions are general and applicable to a transmission system with arbitrary system parameters; • We propose a novel method for generating the time series that corresponds to the timevarying channel gains in satellite-terrestrial links as an improved version of the simulation method that we proposed in [35].…”

“…In the case when γ th,R = γ th , the derived outage probability reduced to the expression derived in our conference paper [34].…”

“…Also, the presented simulated method was based on a temporally uncorrelated time series. For the same system configuration and the case of integer-valued fading parameters, in our recent conference paper [34], we derived a closed-form expression for the outage probability. In another conference paper [35], we developed a simulator of shadowed Rice fading that generates the corresponding fading samples with arbitrary temporal properties.…”

“…In the case when γ th,R →∞, only the first term remains, and this corresponds to the system with the S-D link only. If γ th,R →0, the PDF can be simplified to the expression that can be easily derived by combining (34) and (41).…”

“…simple DF protocol, for the case where the S-D link is blocked, as a typical scenario for HSTRNs, previously analyzed in [21]; -fixed relaying protocol, i.e., the DF protocol applied for the case where the S-D link is present, the relay always retransmits the signal, and MRC is applied at the destination was analyzed in [33]; -the selection relaying protocol, analyzed in this paper, where the S-D link is present, the relay retransmits the signal only if the instantaneous SNR at the relay is larger than γ R , and MRC is applied at the destination [33,34]. The theoretical results are obtained using Equations ( 32)- (38), and the Monte Carlo simulation results are estimated based on N = 10 7 samples and the basic principles of communication system simulations [58].…”