Title
Convexity properties of outage probability under rayleigh fading
Abstract
In this paper, convexity properties of outage probability are investigated under Rayleigh fading for an average power-constrained communications system that employs maximal-ratio combining (MRC) at the receiver. By studying the first and second order derivatives of the outage probability with respect to the transmitted signal power, it is found out that the outage probability is a monotonically decreasing function with a single inflection point. This observation suggests the possibility of improving the outage performance via on-off type power randomization/sharing under stringent average transmit power constraints. It is shown that the results can also be extended to the selection combining (SC) technique in a straightforward manner. Finally, a numerical example is provided to illustrate the theoretical results.
Year
DOI
Venue
2012
10.1109/SIU.2012.6204487
Signal Processing and Communications Applications Conference
Keywords
Field
DocType
Rayleigh channels,probability,Rayleigh fading,average power-constrained communications system,convexity properties,maximal-ratio combining,monotonically decreasing function,on-off type power randomization,outage probability,receiver,selection combining technique,single inflection point,stringent average transmit power constraints
Inflection point,Convexity,Rayleigh fading,Transmitter power output,Communications system,Artificial intelligence,Topology,Monotonic function,Pattern recognition,Rayleigh channels,Statistics,Outage probability,Mathematics
Conference
ISBN
Citations 
PageRank 
978-1-4673-0054-4
0
0.34
References 
Authors
2
3
Name
Order
Citations
PageRank
Berkan Dulek110713.74
Nuri Denizcan Vanli2776.77
Sinan Gezici368266.18