Reliability analysis of cascaded η − μ fading channels

Abstract

In this work, the mathematical characterization of the cascaded ηprefix−μ$$ \eta -\mu $$ fading channel based on multiplicative modeling is discussed. The proposed cascaded ηprefix−μ$$ \eta -\mu $$ probability density function is derived by taking the product of N$$ N $$ statistically independent, but not necessarily identically distributed ηprefix−μ$$ \eta -\mu $$ fading random variables, which encompasses various well‐known distributions as cascaded Nakagami‐m, Hoyt, and Rayleigh distributions. In particular, other statistical measures such as cumulative distribution function, moment generating function, and moment of the cascaded channels, are developed. This set of derived results is further utilized in studying the reliability performance of the wireless cascaded fading channels. The system reliability is comprehensively investigated through various statistical metrics like average symbol error probability, ergodic capacity, outage probability, and effective capacity. All the developed results are of intractable univariate Foxs H‐function form. The accuracy of the numerical results is extensively validated through Monte‐Carlo simulation.

A novel statistics for the NWDP: An appropriate fading model for 5G/6G mmWave communications

“…4 Most channel fading models, such as Rayleigh, Weibull, Gamma, EGK, 𝛼 − 𝜇, 𝜂 − 𝜇, and so forth, disregard the presence of the specular component in the receiver. [5][6][7][8] In the Rician model, only one line of sight (LOS) component is assumed to be observed at the receiver. 9 Durgin et al 2 proposed the two-wave with diffuse power (TWDP) model in 2002, considering two specular waves and many scattering components.…”

“…In such a system, the receiver observes many dominant reflection components and a small number of scattering components 4 . Most channel fading models, such as Rayleigh, Weibull, Gamma, EGK, $$$ \alpha -\mu $$$, $$$ \eta -\mu $$$, and so forth, disregard the presence of the specular component in the receiver 5‐8 . In the Rician model, only one line of sight (LOS) component is assumed to be observed at the receiver 9 .…”