Abstract
The problem of finding the distribution of the sum of more than two Rayleigh fading envelopes has never been solved in terms of tabulated functions. In this letter, we present a closed-form union upper-bound for the cumulative distribution function of the weighted sum of N independent Rayleigh fading envelopes. Computer simulation results verify the tightness of the proposed bound for several values of N. The proposed bound can be efficiently applied in various wireless applications, such as satellite communications, equal-gain receivers, and radars.
| Original language | English |
|---|---|
| Pages (from-to) | 589-591 |
| Number of pages | 3 |
| Journal | IEEE Communications Letters |
| Volume | 9 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2005 |
| Externally published | Yes |
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Keywords
- Equal-gain diversity
- False alarm probability
- Rayleigh fading
- Sum of fading envelopes
ASJC Scopus subject areas
- Computer Networks and Communications
Cite this
A closed-form upper-bound for the distribution of the weighted sum of Rayleigh variates. / Karagiannidis, George K.; Tsiftsis, Theodoros A.; Sagias, Nikos C.
In: IEEE Communications Letters, Vol. 9, No. 7, 07.2005, p. 589-591.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A closed-form upper-bound for the distribution of the weighted sum of Rayleigh variates
AU - Karagiannidis, George K.
AU - Tsiftsis, Theodoros A.
AU - Sagias, Nikos C.
PY - 2005/7
Y1 - 2005/7
N2 - The problem of finding the distribution of the sum of more than two Rayleigh fading envelopes has never been solved in terms of tabulated functions. In this letter, we present a closed-form union upper-bound for the cumulative distribution function of the weighted sum of N independent Rayleigh fading envelopes. Computer simulation results verify the tightness of the proposed bound for several values of N. The proposed bound can be efficiently applied in various wireless applications, such as satellite communications, equal-gain receivers, and radars.
AB - The problem of finding the distribution of the sum of more than two Rayleigh fading envelopes has never been solved in terms of tabulated functions. In this letter, we present a closed-form union upper-bound for the cumulative distribution function of the weighted sum of N independent Rayleigh fading envelopes. Computer simulation results verify the tightness of the proposed bound for several values of N. The proposed bound can be efficiently applied in various wireless applications, such as satellite communications, equal-gain receivers, and radars.
KW - Equal-gain diversity
KW - False alarm probability
KW - Rayleigh fading
KW - Sum of fading envelopes
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UR - http://www.scopus.com/inward/citedby.url?scp=23144437408&partnerID=8YFLogxK
U2 - 10.1109/LCOMM.2005.07011
DO - 10.1109/LCOMM.2005.07011
M3 - Article
VL - 9
SP - 589
EP - 591
JO - IEEE Communications Letters
JF - IEEE Communications Letters
SN - 1089-7798
IS - 7
ER -