Optimal normalized diversity product of 2 × 2 lattice-based diagonal space-time codes from QAM signal constellations

Haiquan Wang; Xiang Gen Xia

doi:10.1109/TIT.2008.917688

Optimal normalized diversity product of 2 × 2 lattice-based diagonal space-time codes from QAM signal constellations

Haiquan Wang^*, Xiang Gen Xia

^*Corresponding author for this work

University of Delaware

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

11 Citations (Scopus)

Abstract

In this correspondence, we prove that the optimal normalized diversity product of 2 × 2 lattice-based diagonal space-time block codes with Gaussian integer (or QAM) signal constellations, i.e., Z[i], and any generating matrices of complex entries (not necessarily algebraic extensions of Z[i] as commonly used) is 1 /√ 3.. This result implies that 2 × 2 lattice-based diagonal space-time block codes with Gaussian integer signal constellations and generating matrices of entries from quadratic algebraic extensions of Z[i] have already reached the optimal normalized diversity product.

Original language	English
Pages (from-to)	1814-1818
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	54
Issue number	4
DOIs	https://doi.org/10.1109/TIT.2008.917688
Publication status	Published - Apr 2008
Externally published	Yes

Keywords

Algebraic extension
Gaussian integers
Geometry of numbers
Lattice-based space-time block codes
Normalized diversity product

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10.1109/TIT.2008.917688

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keywords = "Algebraic extension, Gaussian integers, Geometry of numbers, Lattice-based space-time block codes, Normalized diversity product",

author = "Haiquan Wang and Xia, {Xiang Gen}",

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AB - In this correspondence, we prove that the optimal normalized diversity product of 2 × 2 lattice-based diagonal space-time block codes with Gaussian integer (or QAM) signal constellations, i.e., Z[i], and any generating matrices of complex entries (not necessarily algebraic extensions of Z[i] as commonly used) is 1 /√ 3.. This result implies that 2 × 2 lattice-based diagonal space-time block codes with Gaussian integer signal constellations and generating matrices of entries from quadratic algebraic extensions of Z[i] have already reached the optimal normalized diversity product.

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KW - Gaussian integers

KW - Geometry of numbers

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KW - Normalized diversity product

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Optimal normalized diversity product of 2 × 2 lattice-based diagonal space-time codes from QAM signal constellations

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Keywords

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