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Lattice Codes and Generalized Minimum-Distance Decoding for OFDM Systems

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2 Author(s)
Alan Clark ; Dept. of Electr. & Comput. Eng., Canterbury Univ., Christchurch ; Desmond P. Taylor

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

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IEEE Transactions on Communications  (Volume:55 ,  Issue: 3 )