Abstract
The higher-order statistics (HOS) of the channel capacity μn=E[logn (1+γ end)], where n ∈ N denotes the order of the statistics, has received relatively little attention in the literature, due in part to the intractability of its analysis. In this letter, we propose a novel and unified analysis, which is based on the moment generating function (MGF) technique, to exactly compute the HOS of the channel capacity. More precisely, our mathematical formalism can be readily applied to maximal-ratio-combining (MRC) receivers operating in generalized fading environments. The mathematical formalism is illustrated by some numerical examples focusing on the correlated generalized fading environments.
| Original language | English |
|---|---|
| Article number | 6276204 |
| Pages (from-to) | 573-576 |
| Number of pages | 4 |
| Journal | IEEE Wireless Communications Letters |
| Volume | 1 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2012 |
| Externally published | Yes |
Funding
Manuscript received April 17, 2012. The associate editor coordinating the review of this letter and approving it for publication was T. J. Lim. This work was supported by King Abdullah University of Science and Technology (KAUST). The authors are with KAUST, Al-Khawarizmi Applied Math. Building, Thuwal 23955-6900, Makkah Province, Saudi Arabia (e-mail: {ferkan.yilmaz, slim.alouini}@kaust.edu.sa). Digital Object Identifier 10.1109/WCL.2012.081312.120285
| Funders | Funder number |
|---|---|
| King Abdullah University of Science and Technology |
Keywords
- Higher-order statistics of the channel capacity
- correlated fading distributions
- correlated non-central chi-squared distributions
- ergodic capacity
- maximal-ratio combining