A class of iterated fast decodable space-time codes for 2n Tx antennas
We present an iterative construction of algebraic space-time codes. Starting from a division algebra D, we show how to embed it into a larger ring A = A(D) and give conditions for A to be a new division algebra. Starting from a quaternion division algebra D1, we thus obtain a sequence D1 ⊂ D2 ⊂… of...
| Main Authors: | , |
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| Format: | Conference Paper |
| Language: | English |
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2012
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| Online Access: | https://hdl.handle.net/10356/94798 http://hdl.handle.net/10220/8484 |
| _version_ | 1826126611135594496 |
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| author | Markin, Nadya Oggier, Frederique |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Markin, Nadya Oggier, Frederique |
| author_sort | Markin, Nadya |
| collection | NTU |
| description | We present an iterative construction of algebraic space-time codes. Starting from a division algebra D, we show how to embed it into a larger ring A = A(D) and give conditions for A to be a new division algebra. Starting from a quaternion division algebra D1, we thus obtain a sequence D1 ⊂ D2 ⊂… of division algebras where Di = A(Di−1). Each of the Di can be used as an underlying structure to build a space-time Ci. Furthermore, the iteration step is done such that fast-decodability of the original code is preserved. We illustrate our technique by creating an iterative version of the Silver code. |
| first_indexed | 2024-10-01T06:55:29Z |
| format | Conference Paper |
| id | ntu-10356/94798 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:55:29Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/947982023-02-28T19:17:49Z A class of iterated fast decodable space-time codes for 2n Tx antennas Markin, Nadya Oggier, Frederique School of Physical and Mathematical Sciences IEEE International Symposium on Information Theory (2012 : Cambridge, US) DRNTU::Science::Mathematics We present an iterative construction of algebraic space-time codes. Starting from a division algebra D, we show how to embed it into a larger ring A = A(D) and give conditions for A to be a new division algebra. Starting from a quaternion division algebra D1, we thus obtain a sequence D1 ⊂ D2 ⊂… of division algebras where Di = A(Di−1). Each of the Di can be used as an underlying structure to build a space-time Ci. Furthermore, the iteration step is done such that fast-decodability of the original code is preserved. We illustrate our technique by creating an iterative version of the Silver code. Accepted version 2012-09-10T06:47:12Z 2019-12-06T19:02:28Z 2012-09-10T06:47:12Z 2019-12-06T19:02:28Z 2012 2012 Conference Paper Markin, N., & Oggier, F. (2012). A class of iterated fast decodable space-time codes for 2n Tx antennas. 2012 IEEE International Symposium on Information Theory Proceedings, pp.2826-2830. https://hdl.handle.net/10356/94798 http://hdl.handle.net/10220/8484 10.1109/ISIT.2012.6284039 164466 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: [DOI: http://dx.doi.org/10.1109/ISIT.2012.6284039]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics Markin, Nadya Oggier, Frederique A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title | A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title_full | A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title_fullStr | A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title_full_unstemmed | A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title_short | A class of iterated fast decodable space-time codes for 2n Tx antennas |
| title_sort | class of iterated fast decodable space time codes for 2n tx antennas |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/94798 http://hdl.handle.net/10220/8484 |
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