M-ary symbol error outage over Nakagami-m fading channels in shadowing environments

Symbol error outage for spatial multiplexing systems in Rayleigh fading channel and lognormal shadowing

“…Using the Laplace approximation of Gauss hypergeometric function [13] and a high SNR expression of the Appell hypergeometric function, a similar proposition as in [7] holds: …”

“…In [6], we have introduced a new approach to finding an invertible expression of the SEP based on the approximation of the Gauss hypergeometric function for BPSK and Nakagami-m channels. In [7], this has been generalized to larger modulation constellations, i.e. M-PSK and M-QAM.…”

Impact of Correlated Log-Normal Shadowing on Two-Way Network Coded Cooperative Wireless Networks

“…The generalization of this result, may be stated as follows: (12) Proof: The proof is given in the appendix. The authors in [eqs.…”

“…In environments where shadowing is not considered, the ergodicity of fast fading allows the utilization of average metrics, such as the average symbol error probability (ASEP), to determine the acceptance of a packet. On the other hand, when shadowing is considered, the ASEP is a function of the shadowing coefficient (i.e., ASEP ij = f (E h fij 2 , h sij )), and the QoS requirement ASEP ij < p * turns out to be equivalent to γ ij > γ 0 [12]. Therefore R i accepts a packet from S j if γ ij dB > γ 0 dB 2 .…”

Effect of realistic channel conditions on the energy efficiency of network coding-aided cooperative MAC protocols

“…On the other hand, the reliability criteria summarized in the third column of Table 1 provide expressions for the minimum required received power (which depends both on the PHY layer setup and the target QoS) in order for the packet to be accepted at the MAC layer. The inversion of the PER function is crucial for the application of these criteria, while practical ways to deal with this issue for some advanced PHY layer transmission schemes and channel models are described in [4,18], and references therein.…”