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 |
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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
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.
In: IEEE Transactions on Wireless Communications, Vol. 5, No. 10, 1705958, 10.2006, p. 2967-2974.Research output: Contribution to journal › Article
}
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
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U2 - 10.1109/TWC.2006.05301
DO - 10.1109/TWC.2006.05301
M3 - Article
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 -