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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 icon 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

Puni tekst: engleski, pdf (668 KB) str. 91-95 preuzimanja: 109* citiraj
APA 6th Edition
Srivastava, G., Gupta, R., Kumar, R. i Le, D. (2019). Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures. International journal of electrical and computer engineering systems, 10. (2.), 91-95. https://doi.org/10.32985/ijeces.10.2.5
MLA 8th Edition
Srivastava, Garima, et al. "Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures." International journal of electrical and computer engineering systems, vol. 10., br. 2., 2019, str. 91-95. https://doi.org/10.32985/ijeces.10.2.5. Citirano 01.03.2021.
Chicago 17th Edition
Srivastava, Garima, Rashmi Gupta, Raghvendra Kumar i Dac-Nhuong Le. "Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures." International journal of electrical and computer engineering systems 10., br. 2. (2019): 91-95. https://doi.org/10.32985/ijeces.10.2.5
Harvard
Srivastava, G., et al. (2019). 'Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures', International journal of electrical and computer engineering systems, 10.(2.), str. 91-95. https://doi.org/10.32985/ijeces.10.2.5
Vancouver
Srivastava G, Gupta R, Kumar R, Le D. Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures. International journal of electrical and computer engineering systems [Internet]. 2019 [pristupljeno 01.03.2021.];10.(2.):91-95. https://doi.org/10.32985/ijeces.10.2.5
IEEE
G. Srivastava, R. Gupta, R. Kumar i D. Le, "Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures", International journal of electrical and computer engineering systems, vol.10., br. 2., str. 91-95, 2019. [Online]. https://doi.org/10.32985/ijeces.10.2.5

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
https://hrcak.srce.hr/234714

Posjeta: 185 *