Computer Science – Information Theory
Scientific paper
2005-10-17
IEEE Trans. Inform. Theory, vol. 52, no. 12 (Dec 2006), 5324-5335
Computer Science
Information Theory
final version, 11 pages, two-column
Scientific paper
10.1109/TIT.2006.885457
In this work, the geometric relation between space time block code design for the coherent channel and its non-coherent counterpart is exploited to get an analogue of the information theoretic inequality $I(X;S)\le I((X,H);S)$ in terms of diversity. It provides a lower bound on the performance of non-coherent codes when used in coherent scenarios. This leads in turn to a code design decomposition result splitting coherent code design into two complexity reduced sub tasks. Moreover a geometrical criterion for high performance space time code design is derived.
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