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Extremality Between Symmetric Capacity and Gallager?s Reliability Function E0 for Ternary-Input Discrete Memoryless Channels.
- Source :
- IEEE Transactions on Information Theory; Jan2018, Vol. 64 Issue 1, p163-191, 29p
- Publication Year :
- 2018
-
Abstract
- This paper examines the exact ranges between the symmetric capacity and Gallager’s reliability function E0 for ternary-input discrete memoryless channels (T-DMCs) under a uniform input distribution. We first derive the two extremal ternary-input strongly symmetric channels taking the maximum and minimum values of the E0 function among all ternary-input strongly symmetric channels with a fixed capacity. Extending the results of ternary-input strongly symmetric channels, we second derive the exact ranges between capacity and the E0 function for ternary-input Gallager-symmetric channels. We third show that the exact ranges between the symmetric capacity and the E0 function of T-DMCs coincide with the ranges of ternary-input Gallager-symmetric channels. In particular, we identify the extremal channels taking the maximum and minimum of E0 among all T-DMCs with a fixed symmetric capacity. As applications of the results, we describe some bounds of error exponents for T-DMCs with a fixed symmetric capacity. [ABSTRACT FROM PUBLISHER]
- Subjects :
- SYMMETRIC functions
STATISTICAL reliability
NONLINEAR theories
MATHEMATICAL bounds
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 64
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 126963955
- Full Text :
- https://doi.org/10.1109/TIT.2017.2751500