Moderate-Deviations of Lossy Source Coding for Discrete and Gaussian Sources

Details Moderate-Deviations of Lossy Source Coding for Discrete and Gaussian Sources Moderate-Deviations of Lossy Source Coding for Discrete and Gaussian Sources

2011-11-09

arxiv.org/abs/1111.2217v2

Computer Science

Information Theory

Corrected some references

Scientific paper

We study the moderate-deviations (MD) setting for lossy source coding of stationary memoryless sources. More specifically, we derive fundamental compression limits of source codes whose rates are $R(D) \pm \epsilon_n$, where $R(D)$ is the rate-distortion function and $\epsilon_n$ is a sequence that dominates $\sqrt{1/n}$. This MD setting is complementary to the large-deviations and central limit settings. We show, for finite alphabet and Gaussian sources, that as in the central limit-type results, the so-called dispersion for lossy source coding plays a fundamental role in the MD setting for the lossy source coding problem.

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