TY - GEN
T1 - How to design an efficient lattice coding scheme
AU - Zamir, Ram
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/12/1
Y1 - 2014/12/1
N2 - Lattice codes find applications in various digital communications settings, including shaping for power-constrained channels, coding with side information (dirty-paper channel, Wyner-Ziv source), and Gaussian networks. In this paper we deal neither with the construction of a good lattice, nor with algorithms for lattice coding and decoding, but with other elements of a lattice coding system. We shall consider (1) the two roles of the fundamental cell of the shaping lattice; (2) efficient mappings from information bits to a lattice point; (3) the loss due to a finite alphabet in construction-A lattices; (4) randomization with a simple dither; and (5) how to incorporate a multi-dimensional lattice into a sequential (feedback) scheme. While these are not new issues and observations, they seem to be somewhat overlooked or hidden inside the rich literature about lattice codes.
AB - Lattice codes find applications in various digital communications settings, including shaping for power-constrained channels, coding with side information (dirty-paper channel, Wyner-Ziv source), and Gaussian networks. In this paper we deal neither with the construction of a good lattice, nor with algorithms for lattice coding and decoding, but with other elements of a lattice coding system. We shall consider (1) the two roles of the fundamental cell of the shaping lattice; (2) efficient mappings from information bits to a lattice point; (3) the loss due to a finite alphabet in construction-A lattices; (4) randomization with a simple dither; and (5) how to incorporate a multi-dimensional lattice into a sequential (feedback) scheme. While these are not new issues and observations, they seem to be somewhat overlooked or hidden inside the rich literature about lattice codes.
KW - construction A
KW - dither
KW - lattice encoding and decoding
KW - modulo-lattice
KW - prediction and equalization
UR - http://www.scopus.com/inward/record.url?scp=84929328019&partnerID=8YFLogxK
U2 - 10.1109/ITW.2014.6970780
DO - 10.1109/ITW.2014.6970780
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AN - SCOPUS:84929328019
T3 - 2014 IEEE Information Theory Workshop, ITW 2014
SP - 1
EP - 4
BT - 2014 IEEE Information Theory Workshop, ITW 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE Information Theory Workshop, ITW 2014
Y2 - 2 November 2014 through 5 November 2014
ER -