Sphere Lower Bound for Rotated Lattice Constellations in Fading Channels

Details Sphere Lower Bound for Rotated Lattice Constellations in Fading Channels Sphere Lower Bound for Rotated Lattice Constellations in Fading Channels

2007-07-04

arxiv.org/abs/0707.0649v1

Computer Science

Information Theory

accepted for publication at the IEEE Transactions on Wireless Communications

Scientific paper

We study the error probability performance of rotated lattice constellations in frequency-flat Nakagami-$m$ block-fading channels. In particular, we use the sphere lower bound on the underlying infinite lattice as a performance benchmark. We show that the sphere lower bound has full diversity. We observe that optimally rotated lattices with largest known minimum product distance perform very close to the lower bound, while the ensemble of random rotations is shown to lack diversity and perform far from it.

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