Some 2 × 2 unitary space-time codes from sphere packing theory with optimal diversity product of code size 6

Haiquan Wang; Genyuan Wang; Xiang Gen Xia

doi:10.1109/TIT.2004.838105

Some 2 × 2 unitary space-time codes from sphere packing theory with optimal diversity product of code size 6

Haiquan Wang^*, Genyuan Wang, Xiang Gen Xia

^*Corresponding author for this work

University of Delaware

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

9 Citations (Scopus)

Abstract

In this correspondence, we propose some new designs of 2 × 2 unitary space-time codes of sizes 6, 32, 48, 64 with best-known diversity products (or product distances) by partially using sphere packing theory. In particular, we present an optimal 2 × 2 unitary space-time code of size 6 in the sense that it reaches the maximal possible diversity product for 2 × 2 unitary space-time codes of size 6. The construction and the optimality of the code of size 6 provide the precise value of the maximal diversity product of a 2 × 2 unitary space-time code of size 6.

Original language	English
Pages (from-to)	3361-3368
Number of pages	8
Journal	IEEE Transactions on Information Theory
Volume	50
Issue number	12
DOIs	https://doi.org/10.1109/TIT.2004.838105
Publication status	Published - Dec 2004
Externally published	Yes

Keywords

Differential space-time modulation
Optimal diversity product
Packing theory
Unitary space-time codes

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10.1109/TIT.2004.838105

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keywords = "Differential space-time modulation, Optimal diversity product, Packing theory, Unitary space-time codes",

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AB - In this correspondence, we propose some new designs of 2 × 2 unitary space-time codes of sizes 6, 32, 48, 64 with best-known diversity products (or product distances) by partially using sphere packing theory. In particular, we present an optimal 2 × 2 unitary space-time code of size 6 in the sense that it reaches the maximal possible diversity product for 2 × 2 unitary space-time codes of size 6. The construction and the optimality of the code of size 6 provide the precise value of the maximal diversity product of a 2 × 2 unitary space-time code of size 6.

KW - Differential space-time modulation

KW - Optimal diversity product

KW - Packing theory

KW - Unitary space-time codes

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ER -

Some 2 × 2 unitary space-time codes from sphere packing theory with optimal diversity product of code size 6

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Keywords

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