A new performances analysis for MRC receiver over correlated Weibull multipath fading channels

Abstract

In this study, we present a low computation com plexity expressions of many performance indicators of L-branch Maximal Ratio Combining (MRC). We adapt the previous results given for MRC receiver [1] to the case of correlated Weibull fading channels. Additionally, we derive a new formulas for probability density function (PDF) and moment generating function (MGF) of the output SNR in terms of simple polynomial and laguerre generalized function. All the findings are illustrated using MATHEMATICA Software and validated by comparison with earlier results [2].

Comparative performance analysis of cooperative and multi dual‐hop relay networks using MGF approach

“…However, the factor of better approximation gradually decreases with an increase in these two factors. This verifies the effectiveness of the derived model in (17) and (19) for obtaining an analytical expression for both cases of ASER and P out especially for low number of relay nodes.…”

“…In this section, the analytical and simulation results for ASER and P out with BRs are presented, using derived PDF and MGF for both cases of cooperative diversity, that is, multi dual-hop, and cooperative network. The derived MGF expression in (17) and (19) is substituted separately into (20) and (21) to obtain analytical results for P AS (MRC) versus E s /N 0 and P AS (SC) versus E s /N 0 with MRC and SC receive diversity technique, respectively, for aforementioned two different cases of cooperative diversity. Similarly, the derived MGF expression for multi dual-hop and cooperative network are substituted separately into (22) to obtain analytical results for P out versus E s /N 0 by considering 16 QAM modulation technique with the threshold value γ ϑ = 10.…”

“…Thus, under the Weibull fading channel conditions for all the links in relay network, total MGF M γ tot of the overall received signal SNR at the destination is obtained by substituting (10) and (17) into (18) as…”

“…It was concluded that in a robust fading environment, increasing the number of relay nodes in the network for achieving better performance is an effective technique; however, for better approximation, a lesser number of relay nodes is a more cost-effective and efficient approach. Bessate et al 17 provided analysis of MRC receive diversity technique over Weibull fading channel by considering only L number of multipath branches at the receiver end. In Bilim et al, 18 the performance of P out was analyzed in a cooperative network over a Weibull fading channel.…”

“…However, they just considered a multi dual-hop network without BRs technique over various fading channels. It is noted that all of these studies [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] are based either on cooperative or multi dual-hop relay network with best relay selection (BRs) or without it for analyzing the performance. To the best of our knowledge, no one has comparatively evaluated the performance of both cooperative and multi dual-hop relay networks considering the various receive diversity technique, that is, SC and MRC at destination node with BRs over Weibull fading channel, and this motivates our work.…”