Analysis of Shannon capacity for SC and MRC diversity systems in α - κ - μ fading channel

Abstract

In this paper, the analysis of Shannon capacity for selection combining (SC) and maximal ratio combining (MRC) diversity systems in the generalized α − κ − µ fading channel is presented. Closed-form expressions for probability density function (PDF) at the output of SC and MRC diversity systems are given. Also, closed-form expressions for Shannon capacity for cases of SC diversity with independent and identically distributed branches, MRC diversity with independent and identically distributed branches and for case of no diversity are derived. The obtained results are numerically calculated and graphically presented for different combinations of fading parameters α, κ and µ.

Model-Driven Approach to Fading-Aware Wireless Network Planning Leveraging Multiobjective Optimization and Deep Learning

“…As written above, many papers in available literature deal with different types of diversity combining techniques [18,37,38,40,41].…”

“…Besides, the wireless fading channels can be described by a significant number of general models, which are gaining in importance more and more. eir flexibility makes them suitable for situations in which none of the traditional distributions give a good fit [14][15][16][17][18][19][20][21][22][23][24][25]. In addition, their convenience is recognized in practical and realistic environments.…”

“…Recently, some general distributions describing the fading effects in wireless channels are increasingly investigated in the literature in order to better describe the conditions in wireless telecommunications channels and then determine their performance. Among them are α− µ, κ− µ [14], η− µ, λ− µ [15], α− κ− µ [18,19], α− η− µ [19], α-η-κ-μ [20], α− λ-μ [21], η− λ-μ [22], α-η-κ-F [23], α-η-F [24], α-κ-F [24], and α-F [25] distributions and many others. Here, the fading parameters are as follows: α represents nonlinearity of propagation environment, µ represents the number of the multipath clusters in propagation environment, κ is the Rician factor, η accounts for the unequal power of the inphase and quadrature components of the fading signal, λ indicates the correlation coefficient between the scatteredwave in-phase and quadrature components in the cluster, and so on.…”

“…One of the mentioned general distributions is α− κ− µ distribution [18]. e α− κ− µ nonlinear generalized multipath model is characterized by three parameters, which are able to provide good fitting to experimental data obtained from real communication environments.…”

“…e α− κ− µ nonlinear generalized multipath model is characterized by three parameters, which are able to provide good fitting to experimental data obtained from real communication environments. e generality of α− κ− µ fading model is visible from [18], Table 1. Other fading models, such as α− µ, κ− µ, Nakagami-m, and Rayleigh, can be obtained from it for different values of parameters α, κ, and µ.…”