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This paper addresses two problems of variablelength coding with a fidelity criterion for general sources, in which either the probability of codeword length overflow or that of excess distortion for a given threshold is allowed up to ε. In each problem, a general formula for the achievable region of coding rates and distortion levels is established via information spectrum methods. It is shown that...
This paper deals with a fixed-length lossy source coding problem with some excess distortion probability called the source coding problem with ε-fidelity criterion. In this problem, the rate-distortion function and the distortion-rate function have already been characterized for i.i.d. sources with an additive distortion measure in the sense of first-order and second-order coding rates. However, general...
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