Performance Analysis of SWIPT-NOMA Assisted Satellite-Terrestrial System with Hardware Impairments and Imperfect CSI

On the Performance of the Unified NOMA Framework for Satellite-Terrestrial Networks with Hardware Impairments

“…To facilitate analysis, it is assumed that D p and D q are randomly selected (user selection can further improve system performance, which inspires us to investigate more effective user selection strategies in future work) to execute the NOMA scheme [31], and the satellite link condition of D q is worse than that of D p due to the influence of shadow fading. In addition, due to the propagation characteristics and large transmission delay of the satellite channel, it is difficult to obtain perfect CSI for the satellite channel, which has been studied in [6,32]. However, the main aim of this paper is to investigate the performance of the unified NOMA framework for satellite-terrestrial networks with HIs and imperfect SIC.…”

“…denotes the beam gain of node ξ, G ξ is the antenna gain of node ξ, and φ ξ denotes the included angle between ξ and beam center in relation to the satellite [32]. u ξ = 2:07123 sin φ ξ /sin φ ξ3dB , φ ξ3dB denotes the 3 dB angle, and J ι ð•Þ is the first class-modified Bessel function with order ι.…”

“…where n s ξ ~CN ð0, N 0 I N Þ denotes the AWGN vector for the link between the satellite and node ξ and I N is an identity matrix of size N. η s ξ ~CN ð0, k 2 sξ ρ ξ P S Þ is the HIs between S and node ξ, where k 2 sξ is the level of HIs [29,32], g η = ½g 1η g 2η ⋯ g Nη T , and g nη denotes the HI indication. Since maximal ratio combiner (MRC) is adopted at D k over N REs, we have that w ξ = ðh s ξ Þ H /kh s ξ k, where w ξ represents the receive weight vector.…”

“…Assuming that the channel link from satellite to the n-th RE of terrestrial node ξ is modeled as Shadowed-Rician fading distributions, the PDF and CDF of jh nξ j 2 are given by [32] f h nξ j j…”

“…In addition, we can easily acquire the approximate expression CDF of Y ξ for N = 1 at the high SNR regime which can be expressed as [32]…”