Perfect space-time block codes

Frédérique Oggier; Ghaya Rekaya; Jean Claude Belfiore; Emanuele Viterbo

doi:10.1109/TIT.2006.880010

Perfect space-time block codes

Frédérique Oggier
, Ghaya Rekaya
, Jean Claude Belfiore
, Emanuele Viterbo

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce the notion of perfect space-time block codes (STBCs). These codes have full-rate, full-diversity, nonvanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. We present algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas.

Original language	English
Pages (from-to)	3885-3902
Number of pages	18
Journal	IEEE Transactions on Information Theory
Volume	52
Issue number	9
DOIs	https://doi.org/10.1109/TIT.2006.880010
Publication status	Published - 1 Sept 2006

Keywords

Cubic shaping
Cyclic algebras
Division algebras
Nonvanishing determinant
Perfect codes

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10.1109/TIT.2006.880010

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title = "Perfect space-time block codes",

abstract = "In this paper, we introduce the notion of perfect space-time block codes (STBCs). These codes have full-rate, full-diversity, nonvanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. We present algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas.",

keywords = "Cubic shaping, Cyclic algebras, Division algebras, Nonvanishing determinant, Perfect codes",

author = "Fr{\'e}d{\'e}rique Oggier and Ghaya Rekaya and Belfiore, \{Jean Claude\} and Emanuele Viterbo",

year = "2006",

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AU - Oggier, Frédérique

AU - Rekaya, Ghaya

AU - Belfiore, Jean Claude

AU - Viterbo, Emanuele

PY - 2006/9/1

Y1 - 2006/9/1

N2 - In this paper, we introduce the notion of perfect space-time block codes (STBCs). These codes have full-rate, full-diversity, nonvanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. We present algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas.

AB - In this paper, we introduce the notion of perfect space-time block codes (STBCs). These codes have full-rate, full-diversity, nonvanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. We present algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas.

KW - Cubic shaping

KW - Cyclic algebras

KW - Division algebras

KW - Nonvanishing determinant

KW - Perfect codes

U2 - 10.1109/TIT.2006.880010

DO - 10.1109/TIT.2006.880010

M3 - Article

AN - SCOPUS:33748555538

SN - 0018-9448

VL - 52

SP - 3885

EP - 3902

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 9

ER -

Perfect space-time block codes

Abstract

Keywords

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