Lattice Codes and Generalized Minimum-Distance Decoding for OFDM Systems

Author

Clark, Alan ; Taylor, Desmond P.

Author_Institution

Dept. of Electr. & Comput. Eng., Canterbury Univ., Christchurch

Volume

55

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

417

Lastpage

426

Abstract

Lattice coding of orthogonal frequency-division multiplexing (OFDM) systems is considered. Mapping of multilevel construction lattices to OFDM blocks is shown, and a methodology for probabilistic analysis of multistage generalized minimum distance (GMD) decoding of the received OFDM blocks is shown. As a case study, transmission of points from a 128-dimensional Barnes-Wall lattice is considered. Tight approximations to the system-error rate are obtained and verified by simulation. It appears that GMD decoding of lattice-encoded OFDM provides high coding gain at low complexity

Keywords

AWGN channels; OFDM modulation; channel coding; decoding; modulation coding; probability; AWGN channels; Barnes-Wall lattice; OFDM systems; frequency-selective channels; lattice codes; multistage generalized minimum-distance decoding; orthogonal frequency-division multiplexing; probabilistic analysis; system-error rate; AWGN; Block codes; Constellation diagram; Delay; Error analysis; Frequency division multiplexing; Lattices; Maximum likelihood decoding; OFDM; Quadrature amplitude modulation; Frequency-selective channels; generalized minimum distance (GMD) decoding; orthogonal frequency-division multiplexing (OFDM) systems; sphere packings and lattices;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2007.892445

Filename

4132984