Abstract
In this paper, we consider the ergodicchannel capacity (ECC) of several generalized fading channels for a mobile user that moves inside a coverage area according to the random waypoint (RWP) mobility model. The ECC with RWP mobility provides the average capacity of a mobile receiver taking into account the probability density function (PDF) of the distance between the user and the transmitting antenna, the path loss exponent and the fading channel. It turns out that the ECC in a mobile environment can be written in terms of the corresponding ECC in the static case. Therefore, we use analytical expressions of the ECC of different generalized fading models for the static channel to derive the corresponding analytical expressions for the ECC in the mobile case. Asymptotic expressions, in the high signal-to-noise ratio (SNR) regime, are also provided that quickly converge to the exact ones. Monte Carlo simulation is also used to show the validity of the derived expressions. The analytical exact and asymptotic expressions enable the system designer to quantify the effect of different physical channel and mobility parameters on the attained average capacity of generalized fading channels.
Highlights
C HANNEL CAPACITY is a core performance metric in conventional and emerging wireless communication systems
To validate the derived expressions simulation results are obtained by generating random variables according to the probability density function (PDF) of (2) for the distance between the mobile receiver and the transmitting antenna, obtain the corresponding instantaneous received signal-to-noise ratio (SNR) taking into account the path loss and the fading distribution and obtain the ergodic channel capacity (ECC) using
We analyzed the impact of user mobility on the ECC of wireless receivers that experience fading, shadowing, and path loss
Summary
C HANNEL CAPACITY is a core performance metric in conventional and emerging wireless communication systems. The work in [11] derived the PDF and cumulative distribution function (CDF) of the SNR under RWP mobility for a set of LOS fading distributions, such as κ-μ and κ-μ shadowed fading models Based on these results, [12] derived analytical expressions for the performance of non-homogeneous channels such as η-μ, κ-μ and κ-μ shadowed fading models in terms of outage probability, BER and ECC. We derive new analytical results for the capacity loss due to fading [15] for all the aforementioned fading distributions that enable us to evaluate the asymptotic ECC in the high SNR regime for both the static and mobile scenarios.
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