Diversity product properties of Lu-Kumar's space-time codes

Huiyong Liao; Xiang Gen Xia

doi:10.1109/TIT.2008.2009811

Diversity product properties of Lu-Kumar's space-time codes

Huiyong Liao^*, Xiang Gen Xia

^*Corresponding author for this work

University of Delaware

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

1 Citation (Scopus)

Abstract

In this paper, we show that the diversity products of the full transmit diversity space-time block codes proposed by Lu-Kumar (we call them Lu-Kumar's codes) with quadratic-amplitude modulation (QAM) constellations are lower bounded by 4. We present a sufficient condition on the minimum Hamming weight of the linear binary full-rank space-time code such that this lower bound is met. We show that the special Lu-Kumar codes does satisfy the sufficient condition, and therefore, the diversity products of the special Lu-Kumar codes are 4, where "special"means that the linear binary full-rank space-time codes are not general but specially constructed by Lu-Kumar.

Original language	English
Pages (from-to)	564-568
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	55
Issue number	2
DOIs	https://doi.org/10.1109/TIT.2008.2009811
Publication status	Published - 2009
Externally published	Yes

Keywords

Diversity product
Full transmit diversity spacetime block codes
Hamming weight
Lu-Kumar codes

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10.1109/TIT.2008.2009811

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title = "Diversity product properties of Lu-Kumar's space-time codes",

abstract = "In this paper, we show that the diversity products of the full transmit diversity space-time block codes proposed by Lu-Kumar (we call them Lu-Kumar's codes) with quadratic-amplitude modulation (QAM) constellations are lower bounded by 4. We present a sufficient condition on the minimum Hamming weight of the linear binary full-rank space-time code such that this lower bound is met. We show that the special Lu-Kumar codes does satisfy the sufficient condition, and therefore, the diversity products of the special Lu-Kumar codes are 4, where {"}special{"}means that the linear binary full-rank space-time codes are not general but specially constructed by Lu-Kumar.",

keywords = "Diversity product, Full transmit diversity spacetime block codes, Hamming weight, Lu-Kumar codes",

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AU - Xia, Xiang Gen

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N2 - In this paper, we show that the diversity products of the full transmit diversity space-time block codes proposed by Lu-Kumar (we call them Lu-Kumar's codes) with quadratic-amplitude modulation (QAM) constellations are lower bounded by 4. We present a sufficient condition on the minimum Hamming weight of the linear binary full-rank space-time code such that this lower bound is met. We show that the special Lu-Kumar codes does satisfy the sufficient condition, and therefore, the diversity products of the special Lu-Kumar codes are 4, where "special"means that the linear binary full-rank space-time codes are not general but specially constructed by Lu-Kumar.

AB - In this paper, we show that the diversity products of the full transmit diversity space-time block codes proposed by Lu-Kumar (we call them Lu-Kumar's codes) with quadratic-amplitude modulation (QAM) constellations are lower bounded by 4. We present a sufficient condition on the minimum Hamming weight of the linear binary full-rank space-time code such that this lower bound is met. We show that the special Lu-Kumar codes does satisfy the sufficient condition, and therefore, the diversity products of the special Lu-Kumar codes are 4, where "special"means that the linear binary full-rank space-time codes are not general but specially constructed by Lu-Kumar.

KW - Diversity product

KW - Full transmit diversity spacetime block codes

KW - Hamming weight

KW - Lu-Kumar codes

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SP - 564

EP - 568

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 2

ER -

Diversity product properties of Lu-Kumar's space-time codes

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Keywords

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