Title :
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
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2007.892445
