Chen, Yunfei, Karagiannidis, George K., Lu, Hao and Cao, Ning (2012) Novel approximations to the statistics of products of independent random variables and their applications in wireless communications. IEEE Transactions on Vehicular Technology, Volume 61 (Number 2). pp. 443-454. doi:10.1109/TVT.2011.2178441 ISSN 0018-9545.

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Abstract

A novel analytical framework for evaluating the statistics of the product of independent random variables is proposed. Compared with other methods, which use either infinite series or special functions, the new method provides simple and efficient closed-form approximations, in terms of elementary functions, such as powers and exponentials. Numerical results, which are used to check the accuracy of the new approximations, show that it is quite accurate in most regions of interest. As an application, the proposed analytical results can be efficiently used in wireless communications theory to evaluate in closed form the outage probability of cascaded fading channels, as well as the rate offset of the hybrid automatic repeat request (H-ARQ) transmission. Numerical examples show that the derived expressions provide significant insights on the behaviors of important system parameters as the outage probability and the rate offset.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Engineering > Engineering
Journal or Publication Title:	IEEE Transactions on Vehicular Technology
Publisher:	IEEE
ISSN:	0018-9545
Official Date:	February 2012
Dates:	Date Event February 2012 Published
Volume:	Volume 61
Number:	Number 2
Page Range:	pp. 443-454
DOI:	10.1109/TVT.2011.2178441
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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