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Summary: IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 54, NO. 1, JANUARY 2008 33
Diversity Embedded SpaceTime Codes
Suhas N. Diggavi, Member, IEEE, A. Robert Calderbank, Fellow, IEEE, Sanket Dusad, and
Naofal Al-Dhahir, Fellow, IEEE
Abstract--Rate and diversity impose a fundamental tradeoff in
wireless communication. High-rate spacetime codes come at a
cost of lower reliability (diversity), and high reliability (diversity)
implies a lower rate. However, wireless networks need to support
applications with very different quality-of-service (QoS) require-
ments, and it is natural to ask what characteristics should be
built into the physical layer link in order to accommodate them.
In this paper, we design high-rate spacetime codes that have a
high-diversity code embedded within them. This allows a form
of communication where the high-rate code opportunistically
takes advantage of good channel realizations while the embedded
high-diversity code provides guarantees that at least part of the
information is received reliably. We provide constructions of linear
and nonlinear codes for a fixed transmit alphabet constraint. The
nonlinear constructions are a natural generalization to wireless
channels of multilevel codes developed for the additive white
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