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New results on Construction A lattices based on very sparse parity-check matrices | IEEE Conference Publication | IEEE Xplore

New results on Construction A lattices based on very sparse parity-check matrices


Abstract:

We address the problem of transmission of information over the AWGN channel using lattices. In particular, we will deal with previously introduced LDA lattices which are ...Show More

Abstract:

We address the problem of transmission of information over the AWGN channel using lattices. In particular, we will deal with previously introduced LDA lattices which are obtained by Construction A from LDPC codes over the finite field Fp. We will show how to build a particular ensemble of LDA lattices related to bipartite graphs with good expansion properties. We investigate the quality of this family under lattice decoding and show that a random member in it can be reliably decoded for any value of the channel noise variance up to Poltyrev limit. Values of p and the parameters for which optimal performance is guaranteed under lattice decoding are in accordance with the optimal parameters found experimentally under iterative decoding.
Date of Conference: 07-12 July 2013
Date Added to IEEE Xplore: 07 October 2013
Electronic ISBN:978-1-4799-0446-4

ISSN Information:

Conference Location: Istanbul, Turkey

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