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Short-term fading in wireless systems can be described using a cascaded approach permitting the modelling of severely faded channels. A maximal ratio combining (MRC) diversity is implemented to study the performance improvement in such channels. While the probability density function (pdf) of the signal-to-noise ratio of the independent and identically distributed N*Nakagami cascade channels is available in terms of Meijer's G functions, the pdf of the MRC output is not available. Because of this, the moment generating function of the MRC output is used to estimate the average bit error rates. The characteristic function is used to obtain the cumulative distribution (CDF) of the MRC output by applying the Gil-Pelaez approximation. The outage probabilities were then estimated using the CDF. Results showed that the wireless system performance improved with diversity even though the level of improvement declined as the number of cascaded components N increased. The analysis also suggests that additional mitigation such as combining signals from multiple base stations (macrodiversity) might be necessary to significantly improve the performances of cascaded channels.
References
-
-
1)
-
de Souza, R.A., Fraidenraich, G., Yacoub, M.D.: `On the multivariate α–μ distribution with arbitrary correlation', Int. Telecommunication Symp., 2006, Fortaleza, Ceara, Brazil, p. 38–41.
-
2)
-
N.C. Beaulieu
.
An infinite series for the computation of the complementary probability distribution function of a sum of independent random variables and its application to the sum of Rayleigh random variables.
IEEE Trans. Commun.
,
9 ,
1463 -
1474
-
3)
-
I. Trigui ,
A. Laourine ,
A. Stephenne ,
S. Affes
.
On the performance of cascaded generalized K fading channels.
GLOBECOM
,
1 -
5
-
4)
-
M.O. Hasna ,
M.-S. Alouini
.
Outage probability of multihop transmission over Nakagami fading channels.
IEEE Commun. Lett.
,
5 ,
216 -
218
-
5)
-
W. Wongtraitrat ,
P. Supnithi
.
Performance of digital modulation in double Nakagami-m fading channels with MRC diversity.
IEICE Trans. Commun.
,
559 -
566
-
6)
-
A. Annamalai ,
C. Tellambura
.
Error-rates for Nakagami-m fading multi-channel reception of binary and M-ary signals.
IEEE Trans. Commun.
,
1 ,
58 -
68
-
7)
-
P. Dharmawansa ,
N. Rajatheva ,
C.: Tellambura
.
Infinite series representations of the trivariate and quadrivariate Nakagami-m distributions.
IEEE Trans. Wirel. Commun.
,
4320 -
4328
-
8)
-
A.H. Wojnar
.
Unknown bounds on performance in Nakagami channels.
IEEE Trans. Commun.
,
1 ,
22 -
24
-
9)
-
A. Feuerverger ,
R.A. Mureika
.
The empirical characteristic function and its applications.
Ann. Stat.
,
88 -
97
-
10)
-
P.M. Shankar
.
Performance of N*Nakagami cascaded fading channels in dual selection combining diversity.
Wirel. Comm. Mob. Comp.
-
11)
-
G.K. Karagiannidis ,
N. Sagias ,
P.T. Mathiopoulos
.
N*Nakagami: a novel stochastic model for cascaded fading channels.
IEEE Trans. Commun.
,
1453 -
1458
-
12)
-
N.C. Sagias ,
G.S. Tombras
.
On the cascaded Weibull fading channel model.
J. Franklin Inst.
,
1 -
11
-
13)
-
A.M. Mathai
.
(1993)
A handbook of generalized special functions for statistical and physical sciences.
-
14)
-
R.N. Kesarwani
.
On an integral transform involving G-functions.
SIAM J. Appl. Math.
,
93 -
98
-
15)
-
G.K. Karagiannidis ,
T.A. Tsiftsis ,
R.K. Mallik
.
Bounds for multihop relayed communications in Nakagami-m fading.
IEEE Trans. Commun.
,
1 ,
18 -
22
-
16)
-
C. Tellambura ,
A.A. Annamalai
.
Further results on the Beaulieu series.
IEEE Trans. Commun.
,
1774 -
1777
-
17)
-
J. Malhotra ,
A.K. Sharma ,
R.S. Kaler
.
On the performance of wireless receiver in cascaded fading channel.
African J. Inf. Commun. Tech.
,
65 -
72
-
18)
-
J. Salo ,
H.M. El-Sallaby ,
P. Vainikainen
.
The distribution of the product of independent Rayleigh random variables.
IEEE Trans. Ant. Prop.
,
639 -
643
-
19)
-
A. Annamalai ,
C. Tellambura ,
V. Bhargava
.
A general method for calculating error probabilities over fading channels.
IEEE Trans. Commun.
,
841 -
852
-
20)
-
D. Chizhik
.
Key-holes, correlations, and capacities of multielement transmit and receive antennas.
IEEE Trans. Wirel. Commun.
,
361 -
368
-
21)
-
P.S. Bithas ,
N.C. Sagias ,
P.T. Mathiopoulos
.
The bivariate generalized-K (KG) distribution and its application to diversity receivers.
IEEE Trans. Commun.
,
1 -
8
-
22)
-
P.M. Shankar
.
Macrodiversity and microdiversity in correlated shadowed fading channels.
IEEE Trans. Veh. Technol.
,
2 ,
727 -
732
-
23)
-
H. Shin ,
J.H. Lee
.
Performance analysis of space-time block codes over keyhole Nakagami-m fading channels.
IEEE Trans. Veh. Technol.
,
2 ,
351 -
362
-
24)
-
M.D. Springer ,
W.E. Thompson
.
The distribution of products of beta, gamma, and Gaussian random variables.
SIAM J. Appl. Math.
,
721 -
737
-
25)
-
Andersen, J.B.:: `Statistical distributions in mobile communications using multiple scattering', Proc. General Assembly Int. Union of Radio Science, August 2002, Maastricht, The Netherlands.
-
26)
-
M. Uysal
.
Diversity analysis of space–time coding in cascaded Rayleigh fading channels.
IEEE Commun. Lett.
,
165 -
167
-
27)
-
G.C. Alexandropoulos ,
N.C. Sagias ,
F.I. Lazarakis ,
K. Berberidis
.
New results for the multivariate Nakagami-m fading model with arbitrary correlation matrix and applications.
IEEE Trans. Wirel. Commun.
,
245 -
255
-
28)
-
P.M. Shankar
.
Performance analysis of diversity combining algorithms in shadowed fading channels.
Wirel. Pers. Commun.
,
61 -
72
-
29)
-
P.M. Shankar
.
Outage probabilities in shadowed fading channels using a compound statistical model.
IEE Proc. Commun.
,
828 -
832
-
30)
-
J. Gil-Pelaez
.
Note on the inversion theorem.
Biometrika
,
481 -
482
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