Space-time block codes from nonassociative division algebras

Abstract

Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse 2× 2, 2× 4 multiblock and 4 4 STBCs are designed, employing nonassociative quaternion division algebras.

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