Title
On the capacity of ergodic channels: A large deviation analysis
Abstract
The convergence behavior of capacity of ergodic channels is of great importance for the performance analysis of communication systems. This paper presents a fundamental study on the convergence rate of capacity of ergodic channels on the basis of large deviation theory. It can be revealed that both the probability that the information capacity differs from the ergodic capacity by more than δ(δ > 0) and the outage probability of information capacity decrease at a rate which is asymptotic to that of an exponential decaying function in the number of times of channel use N which are proposed in Theorem 1, Property 1 and 2. To verify the theoretical results, a case study of investigating the rate function for a Rayleigh fading channel is presented. The simulations show that the convergence rate of capacity of ergodic channel coincides with the Theorem and Properties. The achievability of capacity under the assumption of finite channel use is discussed as well.
Year
DOI
Venue
2014
10.1109/CHINACOM.2014.7054300
ChinaCom
Keywords
Field
DocType
rayleigh channels,channel capacity,statistical mechanics,rayleigh fading channel,ergodic channel capacity,exponential decaying function,information capacity,large deviation analysis,capacity,ergodic channel,large deviation,fading,convergence,wireless communication,signal to noise ratio
Statistical physics,Mathematical optimization,Spatial correlation,Channel use,Ergodic theory,Capacity planning,Real-time computing,Rate of convergence,Large deviations theory,Rate function,Channel capacity,Mathematics
Conference
Citations 
PageRank 
References 
1
0.36
12
Authors
5
Name
Order
Citations
PageRank
yuan qi110.36
Rongrong Qian24913.30
Hongyu Wang358846.69
Tao Peng439146.51
Wang Wenbo51200130.70