Construction of Space-Time Block Codes Based on Abelian Algebras

Space-time block codes (STBC) provide a model for transmission over Rayleigh fading channels using multiple transmit antennas. Several design criteria have been proposed to design STBCs for MIMO channels. The rank and determinant criteria are suggested to design full-rate and full-diversity STBCs. D...

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Bibliographic Details
Published in2021 52nd Annual Iranian Mathematics Conference (AIMC) pp. 50 - 52
Main Authors Barzegar, Farhad, Kiani, Dariush, Khodaiemehr, Hassan
Format Conference Proceeding
LanguageEnglish
Published IEEE 30.08.2021
Subjects
Algebra
Block codes
crossed product algebra
division algebra
Fading channels
finite Abelian group
full diversity
MIMO communication
STBC
Transmitting antennas
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Summary:Space-time block codes (STBC) provide a model for transmission over Rayleigh fading channels using multiple transmit antennas. Several design criteria have been proposed to design STBCs for MIMO channels. The rank and determinant criteria are suggested to design full-rate and full-diversity STBCs. Division algebras are powerful tools that provide full diversity for STBCs. This paper gives a method for constructing STBCs using Abelian division algebras which can be embedded as a subalgebra in the matrices over complex numbers with an explicit embedding formula.
DOI:10.1109/AIMC54250.2021.9657001