Fixed-Length Lossy Compression in the Finite Blocklength Regime

@article{Kostina2011FixedLengthLC,
  title={Fixed-Length Lossy Compression in the Finite Blocklength Regime},
  author={Victoria Kostina and Sergio Verd{\'u}},
  journal={IEEE Transactions on Information Theory},
  year={2011},
  volume={58},
  pages={3309-3338}
}
This paper studies the minimum achievable source coding rate as a function of blocklength <i>n</i> and probability ϵ that the distortion exceeds a given level <i>d</i> . Tight general achievability and converse bounds are derived that hold at arbitrary fixed blocklength. For stationary memoryless sources with separable distortion, the minimum rate achievable is shown to be closely approximated by <i>R</i>(<i>d</i>) + √<i>V</i>(<i>d</i>)/(<i>n</i>) <i>Q</i><sup>-1</sup>(ϵ), where <i>R</i>(<i>d… CONTINUE READING
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References

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Fixed-length lossy compression in the finite blocklength regime

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