English

On the Sum of Squared \eta-\mu Random Variates With Application to the Performance of Wireless Communication Systems

Information Theory 2012-10-02 v1 math.IT Probability Statistics Theory Statistics Theory

Abstract

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared \eta-\mu variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over \eta-\mu fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H-bar function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H-bar function (H-hat). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results.

Keywords

Cite

@article{arxiv.1210.0100,
  title  = {On the Sum of Squared \eta-\mu Random Variates With Application to the Performance of Wireless Communication Systems},
  author = {Imran Shafique Ansari and Ferkan Yilmaz and Mohamed-Slim Alouini},
  journal= {arXiv preprint arXiv:1210.0100},
  year   = {2012}
}

Comments

6 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1202.2576