## Abstract

Sum of Weibull random variables (RVs) is naturally of prime importance in wireless communications and related areas. Through the medium of the selection of poles as orthogonal Laguerre polynomials in Cauchy residue theorem, the moment-generation function (MGF), the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of L ≥ 2 mutually independent any random variables (RVs) are represented in terms of fast convergent series, and the obtained results are applied to the sum of Weibull RVs in order to find symbol error rate (SER) and outage probability (OP) performance.

Original language | English (US) |
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Title of host publication | Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 |

Pages | 247-252 |

Number of pages | 6 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

Event | 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 - Leipzig, Germany Duration: Jun 21 2009 → Jun 24 2009 |

### Other

Other | 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 |
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Country | Germany |

City | Leipzig |

Period | 06/21/09 → 06/24/09 |

## Keywords

- Cumulative distribution function
- Outage probability
- Probability density function
- Sum of random variables
- Symbol error rate
- Weibull distribution

## ASJC Scopus subject areas

- Computer Networks and Communications
- Computer Science Applications
- Software