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arXiv · 1408.4433

Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type

Tyll Krueger·Guido Montufar·Ruedi Seiler·Rainer Siegmund-Schultze
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Abstract

We define an algorithm that parses multidimensional arrays sequentially into mainly unrepeated but nested multidimensional sub-arrays of increasing size, and show that the resulting sub-block pointer encoder compresses almost every realization of any finite-alphabet ergodic process on $\mathbb{Z}_{\geq0}^d$ to the entropy, in the limit.

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Tyll Krueger, Guido Montufar, Ruedi Seiler, Rainer Siegmund-Schultze. 2014-08-19. Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type. https://arxiv.org/abs/1408.4433

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