Variable-length compression allowing errors

@article{Kostina2014VariablelengthCA,
  title={Variable-length compression allowing errors},
  author={Victoria Kostina and Yury Polyanskiy and Sergio Verd{\'u}},
  journal={2014 IEEE International Symposium on Information Theory},
  year={2014},
  pages={2679-2683}
}
This paper studies the fundamental limits of the minimum average length of variable-length compression when a nonzero error probability ε is tolerated. We give non-asymptotic bounds on the minimum average length in terms of Erokhin's rate-distortion function and we use those bounds to obtain a Gaussian approximation on the speed of approach to the limit which is quite accurate for all but small blocklengths: equation where Q-1 (·) is the functional inverse of the Q-function and V (S) is the… CONTINUE READING
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