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Erschienen in: EURASIP Journal on Wireless Communications and Networking 1/2008

Open Access 01.12.2008 | Research Article

Space-Time Convolutional Codes over Finite Fields and Rings for Systems with Large Diversity Order

verfasst von: Mario de Noronha-Neto, B. F. Uchôa-Filho

Erschienen in: EURASIP Journal on Wireless Communications and Networking | Ausgabe 1/2008

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Abstract

We propose a convolutional encoder over the finite ring of integers modulo https://static-content.springer.com/image/art%3A10.1155%2F2008%2F624542/MediaObjects/13638_2007_Article_1532_IEq1_HTML.gif , where https://static-content.springer.com/image/art%3A10.1155%2F2008%2F624542/MediaObjects/13638_2007_Article_1532_IEq2_HTML.gif is a prime number and https://static-content.springer.com/image/art%3A10.1155%2F2008%2F624542/MediaObjects/13638_2007_Article_1532_IEq3_HTML.gif is any positive integer, to generate a space-time convolutional code (STCC). Under this structure, we prove three properties related to the generator matrix of the convolutional code that can be used to simplify the code search procedure for STCCs over https://static-content.springer.com/image/art%3A10.1155%2F2008%2F624542/MediaObjects/13638_2007_Article_1532_IEq4_HTML.gif . Some STCCs of large diversity order (≥4) designed under the trace criterion for https://static-content.springer.com/image/art%3A10.1155%2F2008%2F624542/MediaObjects/13638_2007_Article_1532_IEq5_HTML.gif , and 4 transmit antennas are presented for various PSK signal constellations.

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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://​creativecommons.​org/​licenses/​by/​2.​0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Metadaten
Titel
Space-Time Convolutional Codes over Finite Fields and Rings for Systems with Large Diversity Order
verfasst von
Mario de Noronha-Neto
B. F. Uchôa-Filho
Publikationsdatum
01.12.2008
Verlag
Springer International Publishing
DOI
https://doi.org/10.1155/2008/624542

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