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| Content Provider | IET Digital Library |
|---|---|
| Author | Qi, Yuan Qian, Rongrong Peng, Tao Wang, Wenbo |
| Abstract | This study concerns the approximate distribution of the random variable log2(A + χ 2) and its applications in the performance analysis of communication systems where A is 0 or 1 and χ 2 a chi-square distributed random variable. The authors prove that log2(A + χ 2) 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. |
| Starting Page | 931 |
| Ending Page | 941 |
| Page Count | 11 |
| ISSN | 17518628 |
| Volume Number | 7 |
| e-ISSN | 17518636 |
| Issue Number | Issue 10, Jul (2013) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-com/7/10 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-com.2012.0597 |
| Journal | IET Communications |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Antenna Array Approximate Equivalent Expression Approximate Gaussian Distribution Approximate Statistical Distributions Capacity Analysis Channel Capacity Channel Coding Code Communication System Distributed Random Variable Diversity Reception Gaussian Distribution Gaussian Q-function Maximal-ratio Combining MIMO Communication Multiple-input Multiple-output System Multiple-input Single-output Transmit Antenna Selection Orthogonal Space-time Block Code Radio Link And Equipment Random Variable Log2(A + χ2) Approximate Distribution Rayleigh Channel Rayleigh-fading Multiple Antenna System Single-input Multiple-output Transmit Antenna Selection Space-time Block Code Statistics Transmitting Antenna |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering Computer Science Applications |
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