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Table 2 Table of parameters

From: Impact of CCI on performance analysis of downlink satellite-terrestrial systems: outage probability and ergodic capacity perspective

Notation

Definition

N

The number of CCI sources affecting the relay.

\(x_i\)

Messages for destination \(D_i\)

\(x_n\)

Unit energy signal of the n-th interference source

\(A_i\)

Power allocation coefficients, where \(A_1 + A_2 = 1\) and \(A_1 > A_2\).

\(P_S\)

Transmit power at S

\(P_R\)

Transmit power at R

\(P_{Cn}\)

Transmit power of the n-th interference source

\(P_{Cn}\)

Transmit power of the n-th interference source

\(n_j\)

Additive white Gaussian noise (AWGN) for \(CN(0,N_0)\)

\(h_R\)

Channel coefficient from S to R

\(h_i\)

Channel coefficient from R to \(D_i\)

\(h_{nR}\)

Channel coefficient from n-th interference source to the relay

\(\hat{h}_{j}\)

Estimated channel coefficients

\(e_{j}\)

Channel estimation error

\(\varGamma (.)\)

Complete Gamma function

\(\varGamma (.,.)\)

Upper incomplete Gamma function

\({_1 F_1}\left( {. ,.,.} \right)\)

Confluent hypergeometric function of the first kind

\(G^{1,1}_{1,1} [.]\)

Meijer’s G-function

\(G^{1,1,1,1,1}_{1,[1,1],0,[1,1]} [.,.]\)

Meijer’s G-function with two variables