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- W2755248003 abstract "This paper examines the exact ranges between the symmetric capacity and Gallager’s reliability function $E_{0}$ 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 $E_{0}$ 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 $E_{0}$ function for ternary-input Gallager-symmetric channels. We third show that the exact ranges between the symmetric capacity and the $E_{0}$ 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 $E_{0}$ 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." @default.
- W2755248003 created "2017-09-25" @default.
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- W2755248003 date "2018-01-01" @default.
- W2755248003 modified "2023-10-12" @default.
- W2755248003 title "Extremality Between Symmetric Capacity and Gallager’s Reliability Function $E_{0}$ for Ternary-Input Discrete Memoryless Channels" @default.
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- W2755248003 doi "https://doi.org/10.1109/tit.2017.2751500" @default.
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