Abstract: |
Lattice reduction is a powerful concept for solving diverse problems
involving point lattices. Signal processing applications where lattice
reduction has been successfully used include global positioning system
(GPS), frequency estimation, color space estimation in JPEG pictures,
and particularly data detection and precoding in wireless communication
systems. In this article, we first provide some background on point
lattices and then give a tutorial-style introduction to the theoretical
and practical aspects of lattice reduction. We describe the most
important lattice reduction algorithms and comment on their performance
and computational complexity.
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