Approximating Shadowed Rician Model to Other Simpler Models

Abstract

Shadowed Rician model is considered to be the most appropriate that is used to characterize the impairments seen in wireless channels, which suffer Line-Of-Sight (LOS) shadowing and small-scale fading. In this model, the Probability Density Function (PDF) of the Signal to Noise Ratio (SNR) per symbol needs numerical solutions to be evaluated. More than that, for some values of the fading parameters, the numerical solution converging too slowly, and so needs too much time to be evaluated. This is considered as a problem in real time applications where delay is a critical issue. In this paper, the authors present and prove approximations for Shadowed Rician model according to the values of the fading parameters, which are the Rice factor and the Shadowing standard deviation. With the proposed approximation, the required PDF could be written in intervals which make it easier to calculate at parameters values that causes slow converging.

Security Analysis in Multicasting over Shadowed Rician and α−μ Fading Channels: A Dual‐hop Hybrid Satellite Terrestrial Relaying Network

“…One of the main concerns in SatCom is the shadowing of the ST link which is responsible for the masking effect and results in a blockage of the Line-of-Sight (LOS) communication path. The effect of shadowing on wireless communication network was analyzed in [2][3][4][5][6] where the authors in [2] defined shadowing as the result of large obstacles and large deviations present between transmitter and receiver, and analyzed its effect on the received signal with microdiversity and macro diversity reception over composite shadowed Rician (SR)-Gamma fading channel. The Double SR model was explored in [3] for two formats of fluctuation and shadowing model.…”

“…Researchers in [2][3][4][5][6] only described the effect of shadowing on the performance of the wireless communication system. The detrimental effects of correlation and shadowing were analyzed in [7,8].…”

“…The Double SR model was explored in [3] for two formats of fluctuation and shadowing model. A further effective model named Loo's Model was analyzed in [4] to analyze its Line‐of‐sight (LoS) shadowing performance. Shadowing can be not only a foe but also a friend for the wireless system which was proved in [5].…”

Security Analysis in Multicasting over Shadowed Rician and α-μ Fading Channels: A Dual-hop Hybrid Satellite Terrestrial Relaying Network

“…One of the main concerns in SatCom is the shadowing of the ST link which is responsible for the masking effect and results in a blockage of the Line-of-Sight (LOS) communication path. The effect of shadowing on wireless communication network was analyzed in [2][3][4][5][6] where the authors in [2] defined shadowing as the result of large obstacles and large deviations present between transmitter and receiver, and analyzed its effect on the received signal with microdiversity and macro diversity reception over composite shadowed Rician (SR)-Gamma fading channel. The Double SR model was explored in [4] for two formats of fluctuation and shadowing model.…”

“…The Double SR model was explored in [4] for two formats of fluctuation and shadowing model. A further effective model named Loo's Model was analyzed in [3] to analyze its Line-of-sight (LoS) shadowing performance. Shadowing can be not only a foe but also a friend for the wireless system which was proved in [5].…”