MIDO space-time codes from associative and nonassociative cyclic algebras
Nonassociative division algebras have been recently proposed as an alternative way to design fully-diverse spacetime codes. In particular, nonassociative cyclic algebras provide division algebras more easily than their associative counter-part....
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/95523 http://hdl.handle.net/10220/9144 |
| _version_ | 1826130089986752512 |
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| author | Steele, Andrew Oggier, Frederique Pumplün, Susanne |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Steele, Andrew Oggier, Frederique Pumplün, Susanne |
| author_sort | Steele, Andrew |
| collection | NTU |
| description | Nonassociative division algebras have been recently
proposed as an alternative way to design fully-diverse spacetime
codes. In particular, nonassociative cyclic algebras provide
division algebras more easily than their associative counter-part.
In this paper, we propose a few space-time code constructions
coming from both associative and nonassociative cyclic algebras
of degree 4, suitable for 4 transmit and 2 receive antennas, which
furthermore exhibit good fast-decodability. |
| first_indexed | 2024-10-01T07:50:50Z |
| format | Conference Paper |
| id | ntu-10356/95523 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:50:50Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/955232023-02-28T19:17:56Z MIDO space-time codes from associative and nonassociative cyclic algebras Steele, Andrew Oggier, Frederique Pumplün, Susanne School of Physical and Mathematical Sciences IEEE Information Theory Workshop (11th : 2012 : Lausanne, Switzerland) DRNTU::Science::Mathematics::Algebra Nonassociative division algebras have been recently proposed as an alternative way to design fully-diverse spacetime codes. In particular, nonassociative cyclic algebras provide division algebras more easily than their associative counter-part. In this paper, we propose a few space-time code constructions coming from both associative and nonassociative cyclic algebras of degree 4, suitable for 4 transmit and 2 receive antennas, which furthermore exhibit good fast-decodability. Accepted version 2013-02-19T03:26:27Z 2019-12-06T19:16:29Z 2013-02-19T03:26:27Z 2019-12-06T19:16:29Z 2012 2012 Conference Paper Steele, A., Pumplün, S., & Oggier, F. (2012). MIDO space-time codes from associative and nonassociative cyclic algebras. 2012 IEEE Information Theory Workshop (ITW). pp.192-196. https://hdl.handle.net/10356/95523 http://hdl.handle.net/10220/9144 10.1109/ITW.2012.6404655 167278 en © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/ITW.2012.6404655]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Algebra Steele, Andrew Oggier, Frederique Pumplün, Susanne MIDO space-time codes from associative and nonassociative cyclic algebras |
| title | MIDO space-time codes from associative and nonassociative cyclic algebras |
| title_full | MIDO space-time codes from associative and nonassociative cyclic algebras |
| title_fullStr | MIDO space-time codes from associative and nonassociative cyclic algebras |
| title_full_unstemmed | MIDO space-time codes from associative and nonassociative cyclic algebras |
| title_short | MIDO space-time codes from associative and nonassociative cyclic algebras |
| title_sort | mido space time codes from associative and nonassociative cyclic algebras |
| topic | DRNTU::Science::Mathematics::Algebra |
| url | https://hdl.handle.net/10356/95523 http://hdl.handle.net/10220/9144 |
| work_keys_str_mv | AT steeleandrew midospacetimecodesfromassociativeandnonassociativecyclicalgebras AT oggierfrederique midospacetimecodesfromassociativeandnonassociativecyclicalgebras AT pumplunsusanne midospacetimecodesfromassociativeandnonassociativecyclicalgebras |