Title
Approximate distribution of log2(A + x2)
Abstract
This study concerns the approximate distribution of the random variable log2(A + χ2) and its applications in the performance analysis of communication systems where A is 0 or 1 and χ2 a chi-square distributed random variable. The authors prove that log2(A + χ2) is approximately Gaussian distributed and derive the expressions of the mean and variance of the approximate distribution. The approximate Gaussian distribution provides a new way to simplify the derivation of performance metrics and obtain analytical results. Then the authors utilise the approximate results in two applications, which are the approximation of the Gaussian Q-function and capacity analysis, respectively. For one thing, the approximate distribution can be explored to deduce a new approximate equivalent expression of the Q-function on the basis of which an accurate approximation of the Gaussian Q-function can be developed. For another, the approximate Gaussian distribution provides an intuitive approach to analyse the channel capacity of Rayleigh-fading multiple antenna systems. The approximate statistical distributions of the channel capacities of orthogonal space-time block codes, single-input multiple-output, multiple-input single-output, transmit antenna selection with maximal-ratio combining and multiple-input multiple-output systems are presented. The applicability of the approximate distribution can be demonstrated through simulation results in both applications.
Year
DOI
Venue
2013
10.1049/iet-com.2012.0597
IET Communications
Keywords
DocType
Volume
approximate Gaussian distribution,diversity reception,multiple-input multiple-output systems,transmitting antennas,approximate statistical distributions,approximate equivalent expression,multiple-input single-output transmit antenna selection,Gaussian Q-function,communication systems,maximal-ratio combining,channel coding,Gaussian distribution,antenna arrays,single-input multiple-output transmit antenna selection,distributed random variable,orthogonal space-time block codes,MIMO communication,capacity analysis,channel capacity,space-time block codes,random variable log2(A + χ2) approximate distribution,Rayleigh-fading multiple antenna systems,Rayleigh channels
Journal
7
Issue
ISSN
Citations 
10
1751-8628
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Yuan Qi12415.41
Rongrong Qian24913.30
Tao Peng339146.51
Wenbo Wang400.34