Paper Info
Title
A New Simulation Approach to Performance Evaluation of Binary Linear Codes in the Extremely Low Error Rate Region.
Abstract
In this paper, the sphere bound (SB) is revisited within a general bounding framework based on nested Gallager regions. The equivalence is revealed between the SB proposed by Herzberg and Poltyrev and the SB proposed by Kasami et al., whereas the latter was rarely cited in the literatures. Interestingly and importantly, the derivation of the SB based on nested Gallager regions suggests us a new simulation approach to performance evaluation of binary linear codes over additive white Gaussian noise (AWGN) channels. In order for the performance evaluation, the proposed approach decouples the geometrical structure of the code from the noise statistics. The former specifies the conditional error probabilities, which are independent of signal-to-noise ratios (SNRs) and can be simulated and estimated efficiently, while the latter determines the probabilities of those conditions, which involve SNRs and can be calculated numerically. Numerical results show that the proposed simulation approach matches well with the traditional simulation approach in the high error rate region but is able to evaluate efficiently the performance in the extremely low error rate region.
Year
Venue
Field
2016
arXiv: Information Theory
Discrete mathematics,Noise statistics,Word error rate,Algorithm,Communication channel,Theoretical computer science,Binary linear codes,Equivalence (measure theory),Additive white Gaussian noise,Mathematics,Bounding overwatch
DocType
Volume
Citations 
Journal
abs/1610.06712
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Xiao Ma148764.77
Jia Liu200.68
Shancheng Zhao36611.78