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MiS Preprint
86/2014

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

Tyll Krüger, Guido Montúfar, Ruedi Seiler and Rainer Siegmund-Schultze

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.

Received:
Aug 19, 2014
Published:
Aug 20, 2014
MSC Codes:
68P30

Related publications

Preprint
2014 Repository Open Access
Tyll Krüger, Guido Montúfar, Ruedi Seiler and Rainer Siegmund-Schultze

Sequential recurrence-based multidimensional universal source coding of Lempel-Ziv type