Abstract | ||
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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 |
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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 |
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Yuan Qi | 1 | 24 | 15.41 |
Rongrong Qian | 2 | 49 | 13.30 |
Tao Peng | 3 | 391 | 46.51 |
Wenbo Wang | 4 | 0 | 0.34 |