Space-time code design using quaternions, octonions and other non-associative structures
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 gi...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01001060373/Details |
|---|---|
| Matična publikacija: |
International journal of electrical and computer engineering systems (Online) 10 (2019), 2 ; str. 91-95 |
| Glavni autori: | Srivastava, Garima (Author), Gupta, Rashmi, Kumar, Raghvendra, Le, Dac-Nhuong |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.32985/ijeces.10.2.5 International journal of electrical and computer engineering systems (Online) Hrčak |
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| 003 | HR-ZaNSK | ||
| 005 | 20200504221025.0 | ||
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| 007 | cr|||||||||||| | ||
| 008 | 200407s2020 ci a |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.32985/ijeces.10.2.5 | |
| 035 | |a (HR-ZaNSK)001060373 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 004 |2 2011 | |
| 100 | 1 | |a Srivastava, Garima |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a Space-time code design using quaternions, octonions and other non-associative structures |h [Elektronička građa] / |c Garima Srivastava, Rashmi Gupta, Raghvendra Kumar, Dac-Nhuong Le. |
| 300 | |b Ilustr. | ||
| 504 | |a Bibliografija: 12 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a 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. | ||
| 653 | 0 | |a Antenski sustavi |a Bežična komunikacija |a Prostorno-vremenska modulacija |a Cayleyeva algebra | |
| 700 | 1 | |a Gupta, Rashmi |4 aut |9 HR-ZaNSK | |
| 700 | 1 | |a Kumar, Raghvendra |4 aut |9 HR-ZaNSK | |
| 700 | 1 | |a Le, Dac-Nhuong |4 aut |9 HR-ZaNSK | |
| 773 | 0 | |t International journal of electrical and computer engineering systems (Online) |x 1847-7003 |g 10 (2019), 2 ; str. 91-95 |w nsk.(HR-ZaNSK)000739692 | |
| 981 | |b Be2020 |b B01/20 | ||
| 998 | |b tino2004 | ||
| 856 | 4 | 0 | |u https://doi.org/10.32985/ijeces.10.2.5 |
| 856 | 4 | 0 | |u http://www.etfos.unios.hr/ijeces/papers/space-time-code-design-using-quaternions-octonions-and-other-non-associative-structures/ |y International journal of electrical and computer engineering systems (Online) |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/234714 |y Hrčak |