Arithmetic fuchsian groups and space time block codes

In the context of space time block codes (STBCs) the theory of arithmetic Fuchsian groups is presented. Additionally, in this work we present a new class of STBCs based on arithmetic Fuchsian groups. This new class of codes satisfies the property full-diversity, linear dispersion and full-rate. Math...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 30; no. 3; pp. 485 - 498
Main Authors Carvalho, E.D., Andrade, A.A., Palazzo Jr, R., Vieira Filho, J.
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática Aplicada e Computacional 2011
Subjects
MATHEMATICS, APPLIED
Arithmetic Fuchsian group
division algebra
quaternion order and space time codes
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ISSN1807-0302
2238-3603
DOI10.1590/S1807-03022011000300001

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Summary:In the context of space time block codes (STBCs) the theory of arithmetic Fuchsian groups is presented. Additionally, in this work we present a new class of STBCs based on arithmetic Fuchsian groups. This new class of codes satisfies the property full-diversity, linear dispersion and full-rate. Mathematical subject classification: 18B35, 94A15, 20H10.
ISSN:1807-0302
2238-3603
DOI:10.1590/S1807-03022011000300001