Prethodno priopćenje
https://doi.org/10.32985/ijeces.10.2.5
Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures
Garima Srivastava
orcid.org/0000-0002-5948-0729
; AIACTR, Geeta ColonyDepartment of Electronics and Communication
Rashmi Gupta
; AIACTR, Geeta ColonyDepartment of Electronics and Communication
Raghvendra Kumar
; LNCT College, JabalpurDepartment of Computer Science and Engineering
Dac-Nhuong Le
; Haiphong UniversityFaculty of Information Technology
Sažetak
There are several non-associative finite dimensional division algebras over different number fields. Their representations in the corresponding matrix algebras preserve additive structure. However, the embedding does not preserve multiplication as matrix multiplication is associative. As such, it gives a generalized matrix representation. Indeed, a non-associative structure provides different platforms for more effective and useful space-time coding satisfying rank criteria, and coding gain criteria for multiple antenna wireless communication. Associative division algebras have dimension restrictions, whereas non-associative division algebras over suitable fields exist in infinitely many dimensions. We illustrate the above program by using octonion algebras.
Ključne riječi
multiple antenna wireless communication; unitary space-time modulation; group codes; octonion constellations
Hrčak ID:
234714
URI
Datum izdavanja:
15.1.2020.
Posjeta: 893 *