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   -> Volume 9, Issue 5

Preprint: Representation Theory for Multiple-Antenna Code Design
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Wim Sweldens (

PostPosted: Tue Jun 06, 2000 5:45 pm    
Subject: Preprint: Representation Theory for Multiple-Antenna Code Design
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#4 Preprint: Representation Theory for Multiple-Antenna Code Design

Title: Representation Theory for High-Rate Multiple-Antenna Code Design
Author: Babak Hassibi, Bertrand M. Hochwald, Amin Shokrollahi, Wim Sweldens


Abstract: Multiple antennas can greatly increase the data rate and
reliability of a wireless communication link in a fading environment,
but the practical success of using multiple antennas depends crucially
on our ability to design high-rate space-time constellations with low
encoding and decoding complexity. It has been shown that full
transmitter diversity, where the constellation is a set of unitary
matrices whose differences have nonzero determinant, is a desirable
property for good performance. We use the powerful theory of
fixed-point-free groups and their representations to design high-rate
constellations with full diversity. Furthermore, we thereby classify
all full-diversity constellations that form a group, for all rates and
numbers of transmitter antennas. The group structure makes the
constellations especially suitable for differential modulation and
low-complexity decoding algorithms. The classification also reveals
that the number of different group-structures with full diversity is
very limited when the number of transmitter antennas is large and
odd. We therefore also consider extensions of the constellation
designs to nongroups. We conclude by showing that many of our designed
constellations perform excellently on both simulated and real wireless

Status: Technical Memorandum, Bell Laboratories, Lucent
Technologies, March 2000.
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