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Rate-Storage Regions for Extractable Source Coding with Side Information

Elsa Dupraz 1, 2 Aline Roumy 3 Thomas Maugey 4 Michel Kieffer 5
2 Lab-STICC_TB_CACS_COM
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
3 TEMICS - Digital image processing, modeling and communication
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
4 Sirocco - Analysis representation, compression and communication of visual data
Inria Rennes – Bretagne Atlantique , IRISA-D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE
Abstract : This papers considers the coding of a source X with J decoders, each having access to a different side information Y (j). We define a new source coding problem called Extractable Source Coding with Side Information (ESC-SI). In this problem, the server stores one single coded description of the source, from which J descriptions can be extracted without re-encoding, depending on the side information available at the decoder. We want to minimize both the storage rate of the source on the server, and the J transmission rates from the server to the decoders. We provide the achievable storage-transmission rate regions for lossless source coding of general, non i.i.d., non-ergodic sources, and the achievable storage-transmission rate-distortion regions for lossy source coding for non i.i.d. Gaussian sources. The regions obtained for such general source models provide insightful design guidelines for practical applications.
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Submitted on : Friday, August 28, 2020 - 4:14:03 PM
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Elsa Dupraz, Aline Roumy, Thomas Maugey, Michel Kieffer. Rate-Storage Regions for Extractable Source Coding with Side Information. Physical Communication, Elsevier, 2019, ⟨10.1016/j.phycom.2019.100845⟩. ⟨hal-02925026⟩

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