Convexity properties of outage probability under Rayleigh fading
Author
Dülek, Berkan
Vanlı, N. Denizcan
Gezici, Sinan
Date
2012Source Title
2012 20th Signal Processing and Communications Applications Conference (SIU)
Publisher
IEEE
Language
Turkish
Type
Conference PaperItem Usage Stats
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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. © 2012 IEEE.
Keywords
Communications systemsConvexity properties
Decreasing functions
Inflection points
Maximal ratio combining (MRC)
Numerical example
Outage performance
Outage probability
Rayleigh
Second order derivatives
Selection combining
Theoretical result
Transmit power
Transmitted signal
Probability
Rayleigh fading
Signal processing
Outages