Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels

Allen Chuang; Albert Guillén I Fàbregas; Lars K. Rasmussen; Iain B. Collings

doi:10.1109/ISIT.2007.4557561

Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels

Allen Chuang^*, Albert Guillén I Fàbregas, Lars K. Rasmussen, Iain B. Collings

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

In this paper, we consider an automatic-repeat-re quest (ARQ) retransmission protocol signaling over a block-fading multiplc-input, multiple-output (MIMO) channel. In particular, we consider fixed rate codes constructed over discrete complex signal constellations. We show that the optimal signal-to-noise ratio (SNR) exponent is given by a modified Singleton bound, relating all the system parameters. To demonstrate the practical significance of the theoretical analysis, we present numerical results showing that practical Singleton-bound-achieving maximum distance separable codes achieve the optimal SNR exponent.

Original language	English
Title of host publication	Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
Place of Publication	Piscataway, N.J
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2291-2295
Number of pages	5
ISBN (Print)	1424414296, 9781424414291
DOIs	https://doi.org/10.1109/ISIT.2007.4557561
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France Duration: 24 Jun 2007 → 29 Jun 2007

Other

Other	2007 IEEE International Symposium on Information Theory, ISIT 2007
Country/Territory	France
City	Nice
Period	24/06/07 → 29/06/07

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10.1109/ISIT.2007.4557561

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@inproceedings{9b4a8864f87e47d9adfdaa8933539777,

title = "Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels",

abstract = "In this paper, we consider an automatic-repeat-re quest (ARQ) retransmission protocol signaling over a block-fading multiplc-input, multiple-output (MIMO) channel. In particular, we consider fixed rate codes constructed over discrete complex signal constellations. We show that the optimal signal-to-noise ratio (SNR) exponent is given by a modified Singleton bound, relating all the system parameters. To demonstrate the practical significance of the theoretical analysis, we present numerical results showing that practical Singleton-bound-achieving maximum distance separable codes achieve the optimal SNR exponent.",

author = "Allen Chuang and F{\`a}bregas, \{Albert Guill{\'e}n I\} and Rasmussen, \{Lars K.\} and Collings, \{Iain B.\}",

year = "2007",

doi = "10.1109/ISIT.2007.4557561",

language = "English",

isbn = "1424414296",

pages = "2291--2295",

booktitle = "Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2007 IEEE International Symposium on Information Theory, ISIT 2007 ; Conference date: 24-06-2007 Through 29-06-2007",

}

Chuang, A, Fàbregas, AGI, Rasmussen, LK & Collings, IB 2007, Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels. in Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007., 4557561, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, N.J, pp. 2291-2295, 2007 IEEE International Symposium on Information Theory, ISIT 2007, Nice, France, 24/06/07. https://doi.org/10.1109/ISIT.2007.4557561

Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels. / Chuang, Allen; Fàbregas, Albert Guillén I; Rasmussen, Lars K. et al.
Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007. Piscataway, N.J: Institute of Electrical and Electronics Engineers (IEEE), 2007. p. 2291-2295 4557561.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels

AU - Chuang, Allen

AU - Fàbregas, Albert Guillén I

AU - Rasmussen, Lars K.

AU - Collings, Iain B.

PY - 2007

Y1 - 2007

N2 - In this paper, we consider an automatic-repeat-re quest (ARQ) retransmission protocol signaling over a block-fading multiplc-input, multiple-output (MIMO) channel. In particular, we consider fixed rate codes constructed over discrete complex signal constellations. We show that the optimal signal-to-noise ratio (SNR) exponent is given by a modified Singleton bound, relating all the system parameters. To demonstrate the practical significance of the theoretical analysis, we present numerical results showing that practical Singleton-bound-achieving maximum distance separable codes achieve the optimal SNR exponent.

AB - In this paper, we consider an automatic-repeat-re quest (ARQ) retransmission protocol signaling over a block-fading multiplc-input, multiple-output (MIMO) channel. In particular, we consider fixed rate codes constructed over discrete complex signal constellations. We show that the optimal signal-to-noise ratio (SNR) exponent is given by a modified Singleton bound, relating all the system parameters. To demonstrate the practical significance of the theoretical analysis, we present numerical results showing that practical Singleton-bound-achieving maximum distance separable codes achieve the optimal SNR exponent.

UR - https://www.scopus.com/pages/publications/51649106409

U2 - 10.1109/ISIT.2007.4557561

DO - 10.1109/ISIT.2007.4557561

M3 - Conference proceeding contribution

AN - SCOPUS:51649106409

SN - 1424414296

SN - 9781424414291

SP - 2291

EP - 2295

BT - Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, N.J

T2 - 2007 IEEE International Symposium on Information Theory, ISIT 2007

Y2 - 24 June 2007 through 29 June 2007

ER -

Optimal SNR exponent for discrete-input MIMO ARQ block-fading channels

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