Math @ Duke

Publications [#319334] of Henry Pfister
Papers Published
 Tunali, NE; Narayanan, KR; Pfister, HD, Spatiallycoupled low density lattices based on construction a with applications to computeandforward,
2013 IEEE Information Theory Workshop, ITW 2013
(December, 2013), ISBN 9781479913237 [doi]
(last updated on 2017/12/13)
Abstract: We consider a class of lattices built using Construction A, where the underlying code is a nonbinary spatiallycoupled low density parity check code. We refer to these lattices as spatiallycoupled LDA (SCLDA) lattices. SCLDA lattices can be constructed over integers, Gaussian integers and Eisenstein integers. We empirically study the performance of SCLDA lattices under belief propagation (BP) decoding. Ignoring the rate loss from termination, simulation results show that the BP thresholds of SCLDA lattices over integers is 0.11 dB (0.34 dB with the rate loss) and the BP thresholds for SCLDA lattices over Eisenstein integers are 0.08 dB from the Poltyrev limit (0.19 dB with the rate loss). Motivated by this result, we use SCLDA lattice codes over Eisenstein integers for implementing a computeandforward protocol. For the examples considered in this paper, the thresholds for the proposed lattice codes are within 0.28 dB from the achievable rate of this coding scheme and within 1.06 dB from the achievable computation rate of Nazer and Gastpar's coding scheme in [6] extended to Eisenstein integers. © 2013 IEEE.


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