### Abstract

A versatile envelope distribution which generalizes many commonly used models for multipath and shadow fading is the so-called generalized Gamma (GG) distribution. By considering the product of N GG random variables (RV)s, novel expressions for its moments-generating, probability density, and cumulative distribution functions are obtained in closed form. These expressions are used to derive a closed-form union upper bound for the distribution of the sum of GG distributed RVs. The proposed bound turns out to be an extremely convenient analytical tool for studying the performance of N-branch equal-gain combining receivers operating over GG fading channels. For such receivers, first the moments of the signal-to-noise (SNR) at the output, including average SNR and amount of fading, are obtained in closed form. Furthermore, novel union upper bounds for the outage and the average bit error probability are derived and evaluated in terms of Meijer's G-functions. The tightness of the proposed bounds is verified by performing comparisons between numerical evaluation and computer simulations results.

Original language | English |
---|---|

Article number | 1705958 |

Pages (from-to) | 2967-2974 |

Number of pages | 8 |

Journal | IEEE Transactions on Wireless Communications |

Volume | 5 |

Issue number | 10 |

DOIs | |

Publication status | Published - Oct 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Equal-gain combining (EGC)
- Generalized fading channels
- Generalized Gamma
- Lognormal
- Nakagami-m
- Outage probability
- Sum of random variables
- Weibull

### ASJC Scopus subject areas

- Engineering(all)
- Computer Networks and Communications

### Cite this

*IEEE Transactions on Wireless Communications*,

*5*(10), 2967-2974. [1705958]. https://doi.org/10.1109/TWC.2006.05301

**On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels.** / Sagias, Nikos C.; Karagiannidis, George K.; Mathiopoulos, P. Takis; Tsiftsis, Theodoras A.

Research output: Contribution to journal › Article

*IEEE Transactions on Wireless Communications*, vol. 5, no. 10, 1705958, pp. 2967-2974. https://doi.org/10.1109/TWC.2006.05301

}

TY - JOUR

T1 - On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels

AU - Sagias, Nikos C.

AU - Karagiannidis, George K.

AU - Mathiopoulos, P. Takis

AU - Tsiftsis, Theodoras A.

PY - 2006/10

Y1 - 2006/10

N2 - A versatile envelope distribution which generalizes many commonly used models for multipath and shadow fading is the so-called generalized Gamma (GG) distribution. By considering the product of N GG random variables (RV)s, novel expressions for its moments-generating, probability density, and cumulative distribution functions are obtained in closed form. These expressions are used to derive a closed-form union upper bound for the distribution of the sum of GG distributed RVs. The proposed bound turns out to be an extremely convenient analytical tool for studying the performance of N-branch equal-gain combining receivers operating over GG fading channels. For such receivers, first the moments of the signal-to-noise (SNR) at the output, including average SNR and amount of fading, are obtained in closed form. Furthermore, novel union upper bounds for the outage and the average bit error probability are derived and evaluated in terms of Meijer's G-functions. The tightness of the proposed bounds is verified by performing comparisons between numerical evaluation and computer simulations results.

AB - A versatile envelope distribution which generalizes many commonly used models for multipath and shadow fading is the so-called generalized Gamma (GG) distribution. By considering the product of N GG random variables (RV)s, novel expressions for its moments-generating, probability density, and cumulative distribution functions are obtained in closed form. These expressions are used to derive a closed-form union upper bound for the distribution of the sum of GG distributed RVs. The proposed bound turns out to be an extremely convenient analytical tool for studying the performance of N-branch equal-gain combining receivers operating over GG fading channels. For such receivers, first the moments of the signal-to-noise (SNR) at the output, including average SNR and amount of fading, are obtained in closed form. Furthermore, novel union upper bounds for the outage and the average bit error probability are derived and evaluated in terms of Meijer's G-functions. The tightness of the proposed bounds is verified by performing comparisons between numerical evaluation and computer simulations results.

KW - Equal-gain combining (EGC)

KW - Generalized fading channels

KW - Generalized Gamma

KW - Lognormal

KW - Nakagami-m

KW - Outage probability

KW - Sum of random variables

KW - Weibull

UR - http://www.scopus.com/inward/record.url?scp=33750050015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750050015&partnerID=8YFLogxK

U2 - 10.1109/TWC.2006.05301

DO - 10.1109/TWC.2006.05301

M3 - Article

AN - SCOPUS:33750050015

VL - 5

SP - 2967

EP - 2974

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

SN - 1536-1276

IS - 10

M1 - 1705958

ER -