TY - JOUR
T1 - Average Fade Duration for Amplify-and-Forward Relay Networks in Fading Channels
AU - Lopez-Martinez, F. Javier
AU - Kurniawan, Ernest
AU - Islam, Russ
AU - Goldsmith, Andrea
N1 - Funding Information:
The work of F. J. Lopez-Martinez was supported by Junta de Andalucia (P11-TIC-7109), Spanish Government- FEDER (TEC2013-44442-P, COFUND2013-40259), Univ. Malaga and EU under Marie-Curie COFUND U-mobility action (ref. 246550). The work of E. Kurniawan was supported by the Agency for Science Technology and Research under an A?STAR fellowship, by the Center for Science of Information (CSoI), an NSF Science and Technology Center, under grant agreement CCF- 0939370, and by grants from Aviat Networks and Ericsson. The work of R. Islam was supported by REU program at EE Department. The work of A. Goldsmith was supported by NEC, Huawei and the NSF Center for Science of Information. The associate editor coordinating the review of this paper and approving it for publication was A. Zajic.
Publisher Copyright:
© 2015 IEEE.
PY - 2015/10
Y1 - 2015/10
N2 - We analyze the level crossing rate and the average fade duration of amplify and forward multihop relay networks. We first calculate exact closed-form expressions for these statistics when the individual links are affected by log-normal fading with arbitrary autocorrelation. Based on these expressions, we formulate a log-normal approximation to the product of N Nakagami-m independent random processes. In particular, through a proper matching of the mean, variance and the autocorrelation function, we show that the product of N Nakagami-m stochastic processes can be closely approximated by a single log-normal process. This allows us to accurately approximate the crossing statistics for the cascaded Nakagami-m fading channel in closed-form. Using this analytical framework we characterize the dynamics of the equivalent multihop channel gain for different correlation models, and study the influence of the number of hops and the relay mobility in these second order statistics.
AB - We analyze the level crossing rate and the average fade duration of amplify and forward multihop relay networks. We first calculate exact closed-form expressions for these statistics when the individual links are affected by log-normal fading with arbitrary autocorrelation. Based on these expressions, we formulate a log-normal approximation to the product of N Nakagami-m independent random processes. In particular, through a proper matching of the mean, variance and the autocorrelation function, we show that the product of N Nakagami-m stochastic processes can be closely approximated by a single log-normal process. This allows us to accurately approximate the crossing statistics for the cascaded Nakagami-m fading channel in closed-form. Using this analytical framework we characterize the dynamics of the equivalent multihop channel gain for different correlation models, and study the influence of the number of hops and the relay mobility in these second order statistics.
KW - Average fade duration
KW - fading
KW - lognormal approximation
KW - multihop relay networks
UR - http://www.scopus.com/inward/record.url?scp=84959511941&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84959511941&partnerID=8YFLogxK
U2 - 10.1109/TWC.2015.2438815
DO - 10.1109/TWC.2015.2438815
M3 - Article
AN - SCOPUS:84959511941
SN - 1536-1276
VL - 14
SP - 5454
EP - 5467
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
IS - 10
M1 - 7114355
ER -