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This paper shows the strong converse and the dispersion of memory-less channels with cost constraints. The analysis is based on a new non-asymptotic converse bound expressed in terms of the distribution of a random variable termed the b-tilted information density, which plays a role similar to that of the information density in channel coding without cost constraints. The authors also analyze the fundamental limits of lossy joint-source-channel coding over channels with cost constraints. This paper is concerned with the maximum channel coding rate achievable at average error probability.
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