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Optimality of LDGM-LDPC compound codes for lossy compression of binary erasure source

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3 Author(s)
Demay, G. ; Sch. of Electr. Eng., KTH - R. Inst. of Technol., Stockholm, Sweden ; Rathi, V. ; Rasmussen, L.K.

We consider the Binary Erasure Source (BES) introduced by Martinian and Yedidia. Based on the technique introduced by Martinian and Wainwright, we upper bound the rate-distortion performance of the check regular Poisson LDGM ensemble and the compound LDGM-LDPC ensemble for the BES. We also show that there exist compound LDGM-LDPC codes, with degrees independent of the block-length, which can achieve any given point on the Shannon rate-distortion curve of the BES.

Published in:

Information Theory and its Applications (ISITA), 2010 International Symposium on

Date of Conference:

17-20 Oct. 2010