The DMT classification of real and quaternionic lattice codes

Laura Luzzi; Roope Vehkalahti

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arXiv · 1801.02913

The DMT classification of real and quaternionic lattice codes

Laura Luzzi·Roope Vehkalahti

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Abstract

In this paper we consider space-time codes where the code-words are restricted to either real or quaternion matrices. We prove two separate diversity-multiplexing gain trade-off (DMT) upper bounds for such codes and provide a criterion for a lattice code to achieve these upper bounds. We also point out that lattice codes based on Q-central division algebras satisfy this optimality criterion. As a corollary this result provides a DMT classification for all Q-central division algebra codes that are based on standard embeddings.

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Laura Luzzi, Roope Vehkalahti. 2018-01-09. The DMT classification of real and quaternionic lattice codes. https://arxiv.org/abs/1801.02913

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