Title
Copulas and Multi-User Channel Orders
Abstract
We investigate the application of copulas for characterizing channel orders, e.g., degradedness or strong/very strong interference, of Gaussian multiuser channels with statistical channel state information at the transmitter (CSIT). When there is solely statistical CSIT, identifying such channel orders is much more involved and, thus, the capacity remains unknown in general. We use the maximum copula to construct equivalent channels by modifying the joint distributions such that these newly constructed channels possess certain channel orders. We also derive sufficient conditions to attain these equivalent channels. We further discuss the meaning of achieving the maximum copula with respect to the concordance between the fading channels. We illustrate the theoretical results by numerical simulations, which visualize the joint probability distributions.
Year
DOI
Venue
2019
10.1109/ICC.2019.8761813
IEEE International Conference on Communications
Keywords
Field
DocType
Copulas,same marginal property,usual stochastic order,degraded,strong/very strong interference
Transmitter,Joint probability distribution,Fading,Computer science,Copula (linguistics),Algorithm,Communication channel,Real-time computing,Gaussian,Interference (wave propagation),Channel state information
Conference
ISSN
Citations 
PageRank 
1550-3607
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Pin-Hsun Lin1427.65
Eduard A. Jorswieck22211202.99
Rafael F. Schaefer316535.85
Carsten Rudolf Janda4104.71
Martin Mittelbach5406.25