Convex analysis and variational problems
Convex analysis and variational problems
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
General formulas for capacity of classical-quantum channels
IEEE Transactions on Information Theory
Second-Order Asymptotics in Fixed-Length Source Coding and Intrinsic Randomness
IEEE Transactions on Information Theory
Channel coding rate in the finite blocklength regime
IEEE Transactions on Information Theory
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In this paper, second-order coding rate of channel coding is discussed for general sequence of channels. The optimum second-order transmission rate with a constant error constraint Ɛ is obtained by using the information spectrum method. We apply this result to the discrete memoryless case, the discrete memoryless case with a cost constraint, the additive Markovian case, and the Gaussian channel case with an energy constraint. We also clarify that the Gallager bound does not give the optimum evaluation in the second-order coding rate.