Operational Rate-Distortion Performance of Single-source and Distributed Compressed Sensing

Giulio Coluccia 1 Aline Roumy 2 Enrico Magli 1
2 Sirocco - Analysis representation, compression and communication of visual data
Inria Rennes – Bretagne Atlantique , IRISA-D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE
Abstract : We consider correlated and distributed sources without cooperation at the encoder. For these sources, we derive the best achievable performance in the rate-distortion sense of any distributed compressed sensing scheme, under the constraint of high--rate quantization. Moreover, under this model we derive a closed--form expression of the rate gain achieved by taking into account the correlation of the sources at the receiver and a closed--form expression of the average performance of the oracle receiver for independent and joint reconstruction. Finally, we show experimentally that the exploitation of the correlation between the sources performs close to optimal and that the only penalty is due to the missing knowledge of the sparsity support as in (non distributed) compressed sensing. Even if the derivation is performed in the large system regime, where signal and system parameters tend to infinity, numerical results show that the equations match simulations for parameter values of practical interest.
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https://hal.inria.fr/hal-00996698
Contributeur : Aline Roumy <>
Soumis le : lundi 17 novembre 2014 - 09:37:26
Dernière modification le : mardi 16 janvier 2018 - 15:54:20
Document(s) archivé(s) le : vendredi 14 avril 2017 - 14:26:21

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Giulio Coluccia, Aline Roumy, Enrico Magli. Operational Rate-Distortion Performance of Single-source and Distributed Compressed Sensing. Communications, IEEE Transactions on, IEEE, 2014, 62 (6), pp.2022 - 2033. 〈http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6784502〉. 〈10.1109/TCOMM.2014.2316176〉. 〈hal-00996698〉

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