Work

Efficient LDPC codes over GF(q) for lossy data compression

Year: 2009
Type: conference-paper
Abstract: In this paper we consider the lossy compression of a binary symmetric source. We present a scheme that provides a low complexity lossy compressor with near optimal empirical performance. The proposed scheme is based on b-reduced ultra-sparse LDPC codes over GF(q). Encoding is performed by the Reinforced Belief Propagation algorithm, a variant of Belief Propagation. The computational complexity at the encoder is O(.n.q. log2q), whereis the average degree of the check nodes. For our code ensemble, decoding can be performed iteratively following the inverse steps of the leaf removal algorithm. For a sparse parity-check matrix the number of needed operations is O(n).
Authors: Alfredo Braunstein, Farbod Kayhan, Riccardo Zecchina
Language: English
Open Access status: green
OpenAlex ID: W2109836018
FWCI: 0.539
Cites: 25
Cited by: 12
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