You are here

Error message

User warning: The following module is missing from the file system: reference_dialog. For information about how to fix this, see the documentation page. in _drupal_trigger_error_with_delayed_logging() (line 1128 of /var/www/
Block title
Block content
Back to listing page

Lattices Over Eisenstein Integers for Compute-and-Forward

IEEE Transcations on Information Theory

In this paper, we consider the use of lattice codes over Eisenstein integers for implementing a compute and-forward protocol in wireless networks when channel state information is not available at the transmitter. We extend the compute-and-forward paradigm of Nazer and Gastpar to decoding Eisenstein integer combinations of transmitted messages at relays by proving the existence of a sequence of pairs of nested lattices over Eisenstein integers in which the coarse lattice is good for covering and the fine lattice can achieve the Poltyrev limit. Using this result, we show that both the outage performance and error-correcting performance of the nested lattice codebooks over Eisenstein integers surpass those of lattice codebooks over integers considered by Nazer and Gastpar with no additional computational complexity.

Volume Issue: 
Project Research Area: