The Simulation Models for Rayleigh Fading Channels

Zhinian Luo; Wenjun Zhang

2nd International ICST Conference on Communications and Networking in China

Research Article

The Simulation Models for Rayleigh Fading Channels

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1109/CHINACOM.2007.4469592,
    author={Zhinian Luo and Wenjun Zhang},
    title={The Simulation Models for Rayleigh Fading Channels},
    proceedings={2nd International ICST Conference on Communications and Networking in China},
    publisher={IEEE},
    proceedings_a={CHINACOM},
    year={2008},
    month={3},
    keywords={Rayleigh fading  ergodicity  sum-of sinusoids (SoS)  wide-sense stationary},
    doi={10.1109/CHINACOM.2007.4469592}
}

Zhinian Luo
Wenjun Zhang
Year: 2008
The Simulation Models for Rayleigh Fading Channels
CHINACOM
IEEE
DOI: 10.1109/CHINACOM.2007.4469592

Zhinian Luo^1,2^,*, Wenjun Zhang^1,3^,*

1: Institute of Image Communication and Information, Processing, Department of Electronic Engineering,Shanghai Jiao Tong University, Shanghai, 200240, China
2: School of Computer and Communication, Hunan, University, ChangSha, 410082, China
3: Shanghai Key Laboratory of Digital Media Processing and Transmissions, Shanghai Jiao Tong University, Shanghai 200240, China

*Contact email: zhinianluo@hnu.cn, zhangwenjun@sjtu.edu.cn

Abstract

Rayleigh fading channel is the foundation of mobile radio channel modeling. This paper summarizes four classes of the simulation models for Rayleigh fading channels based on sum-of-sinusoids by a uniform expression, according to the different definition of the assumed parameters in the expression. Among these parameters, the initial phases should be set as random variables and we conclude three cases of phases’ definition. With the help of these discussions, it can be seen that the ergodicity and the stationary can not exist simultaneously when the number of multipath wave is finite. Based on this conclusion, some conditions on an effective channel model are proposed, and these conclusions are useful to model the new effective mobile radio channels.

Keywords: Rayleigh fading ergodicity sum-of sinusoids (SoS) wide-sense stationary

Published: 2008-03-07
Publisher: IEEE
Modified: 2011-07-19

: http://dx.doi.org/10.1109/CHINACOM.2007.4469592