Irreducible root systems for space-time coding in wireless communication

Bruno R. Andriamanalimanana

doi:10.1117/12.486828

23 July 2003 Irreducible root systems for space-time coding in wireless communication

Bruno R. Andriamanalimanana

Proceedings Volume 5100, Digital Wireless Communications V; (2003) https://doi.org/10.1117/12.486828
Event: AeroSense 2003, 2003, Orlando, Florida, United States

Abstract

The theory of groups and group representations have been shown by several researchers to generate promising space-time codes for multiple-antenna links in wireless communication. In this report, potential codes from a root system in a real Euclidean space are examined. In particular, general properties of codes from the infinite irreducible systems A_l, B_l, C_l, and D_l are analytically studied, while codes from the exceptional systems G₂, F₄, E₆, E₇ and E8 are numerically determined. Some of these exceptional codes meet general coding-theoretic expectations, for example in terms of the number of code words. The effort described in this paper is part of a general attempt to assess the use of modular representations of groups, as opposed to classical, i.e. complex-numbered, representations, for antenna diversity. Java technologies are used for the implementation of our numerical experimentation platform.

Citation Download Citation

Bruno R. Andriamanalimanana "Irreducible root systems for space-time coding in wireless communication", Proc. SPIE 5100, Digital Wireless Communications V, (23 July 2003); https://doi.org/10.1117/12.486828

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