Bivariate Rician Shadowed Fading Model

Abstract

Abstract-In this paper1 we present a bivariate Rician shadowed fading model where the shadowing is assumed to follow a Nakagami-m distribution. We derive exact expressions involving a single integral for both the joint probability density function (PDF) and the joint cumulative distribution function (CDF) and we also derive an exact closed-form expression for the moment generating function (MGF). As a direct consequence we obtain a closed-form expression for the power correlation coefficient between Rician shadowed variables as a function of the correlation coefficient between the underlying variables of the model. Additionally, in the particular case of integer m we show that the PDF can be expressed in closed-form in terms of a sum of m Meijer G-functions of two variables. Results are applied to analyze the outage probability (OT) of a dual-branch selection combiner (SC) in correlated Rician shadowed fading and the evaluation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Rician shadowed fading envelope.

The Rayleigh Birnbaum Saunders Distribution: A General Fading Model

“…Due to fading, the strength of the received signal will show oscillations (even very fast oscillations) in time caused by the multi-path effects. Figure 1 shows a simplified fading model for a stationary source (emitter at ground base station) and a mobile receptor (vehicle) where several signal components are involved (see a complete description of fading modeling in [4][5][6][7]). A similar figure can be used to account for device-to-device 5G mobile terminals.…”

The Slashed‐Rayleigh Fading Channel Distribution

“…In this situation, the strength of the received signal will oscillate rapidly due to multipath effects. Figure 1 illustrates a simplified fading model between a stationary source (emitter) and a mobile vehicle (for a complete description of fading modelling, see Barts and Stutzman [2], Rappaport [1], Borhani et al [3], and Lopez-Fernandez et al [4]). Several components are involved; first, in the case of clear line of sight between the stationary source (emitter) and the mobile vehicle, no scattering mechanism is involved, although Doppler effects will be considered.…”

Desvanecimento Sombreado Duplamente Correlacionado

“…Um aspecto comum nos trabalhos anteriormente citadosé a inexistência da suposição da correlação nas componentes de sombreamento ao se analisar a combinação de múltiplos sinais na recepção. Um exemplo comum deste tipo de sistema são as estratégias utilizadas para melhorar o desempenho dos sistemas com a utilização das técnicas de diversidade [5]- [7]. A inclusão e análise do impacto desta correlaçãoé de fato a principal contribuição deste artigo.…”