QAM and PSK codebooks for limited feedback MIMO beamforming

Daniel J. Ryan; I. Vaughan L. Clarkson; Iain B. Collings; Dongning Guo; Michael L. Honig

doi:10.1109/TCOMM.2009.04.070178

QAM and PSK codebooks for limited feedback MIMO beamforming

Daniel J. Ryan^*, I. Vaughan L. Clarkson, Iain B. Collings, Dongning Guo, Michael L. Honig

^*Corresponding author for this work

Electrical and Computer Engineering

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

48 Scopus citations

Abstract

This paper considers the problem of beamforming in multiple-input multiple-output (MIMO) wireless systems. Assuming perfect channel state information at the receiver, the choice of the beamforming vector is made possible through a noiseless limited-rate feedback of one or more bits per coefficient to the transmitter. This paper proposes the use of beamforming codebooks based on quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations, which essentially eliminates the need for storage of the codebook. We show that such codebooks perform arbitrarily close to the perfect feedback case as the constellation size increases, and that full diversity order is achieved. We demonstrate an equivalence between the beamforming codebook search problem with that of noncoherent sequence detection. Based on this we propose fast beamforming vector search algorithms. Monte-Carlo simulations are presented to show that the performance is comparable to the best known codebooks, and that the search complexity can be reduced by several orders of magnitude.

Original language	English (US)
Pages (from-to)	1184-1196
Number of pages	13
Journal	IEEE Transactions on Communications
Volume	57
Issue number	4
DOIs	https://doi.org/10.1109/TCOMM.2009.04.070178
State	Published - 2009

Funding

The material in this paper appeared in part at the IEEE International Communications Conference, Glasgow, Scotland, Australia, June 2007. This work was carried out while D. J. Ryan was a Ph.D. Candidate at The School of Electrical and Information Engineering, The University of Sydney, NSW 2006, Australia and a Postgraduate Scholar with the Commowealth Scientific Industrial Research Organisation (CSIRO) ICT Centre, Epping, NSW 1710, Australia. The work of D. Guo was supported by the National Science Foundation under Grant CCF-0644344 and DARPA under Grant W911NF-07-1-0028. The work of M. L. Honig was supported by the National Science Foundation under grant CCR-0310809 and the U.S. Army Research Office under grant DAAD19-03-1-0119. Digital Object Identifier 10.1109/TCOMM.2009.04.070178

Keywords

Beamforming
Limited feedback
Multiple-input multiple-output (MIMO)
Vector quantization
Wireless communications

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/TCOMM.2009.04.070178

Cite this

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title = "QAM and PSK codebooks for limited feedback MIMO beamforming",

abstract = "This paper considers the problem of beamforming in multiple-input multiple-output (MIMO) wireless systems. Assuming perfect channel state information at the receiver, the choice of the beamforming vector is made possible through a noiseless limited-rate feedback of one or more bits per coefficient to the transmitter. This paper proposes the use of beamforming codebooks based on quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations, which essentially eliminates the need for storage of the codebook. We show that such codebooks perform arbitrarily close to the perfect feedback case as the constellation size increases, and that full diversity order is achieved. We demonstrate an equivalence between the beamforming codebook search problem with that of noncoherent sequence detection. Based on this we propose fast beamforming vector search algorithms. Monte-Carlo simulations are presented to show that the performance is comparable to the best known codebooks, and that the search complexity can be reduced by several orders of magnitude.",

keywords = "Beamforming, Limited feedback, Multiple-input multiple-output (MIMO), Vector quantization, Wireless communications",

author = "Ryan, \{Daniel J.\} and Clarkson, \{I. Vaughan L.\} and Collings, \{Iain B.\} and Dongning Guo and Honig, \{Michael L.\}",

note = "Funding Information: The material in this paper appeared in part at the IEEE International Communications Conference, Glasgow, Scotland, Australia, June 2007. This work was carried out while D. J. Ryan was a Ph.D. Candidate at The School of Electrical and Information Engineering, The University of Sydney, NSW 2006, Australia and a Postgraduate Scholar with the Commowealth Scientific Industrial Research Organisation (CSIRO) ICT Centre, Epping, NSW 1710, Australia. The work of D. Guo was supported by the National Science Foundation under Grant CCF-0644344 and DARPA under Grant W911NF-07-1-0028. The work of M. L. Honig was supported by the National Science Foundation under grant CCR-0310809 and the U.S. Army Research Office under grant DAAD19-03-1-0119. Digital Object Identifier 10.1109/TCOMM.2009.04.070178",

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N2 - This paper considers the problem of beamforming in multiple-input multiple-output (MIMO) wireless systems. Assuming perfect channel state information at the receiver, the choice of the beamforming vector is made possible through a noiseless limited-rate feedback of one or more bits per coefficient to the transmitter. This paper proposes the use of beamforming codebooks based on quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations, which essentially eliminates the need for storage of the codebook. We show that such codebooks perform arbitrarily close to the perfect feedback case as the constellation size increases, and that full diversity order is achieved. We demonstrate an equivalence between the beamforming codebook search problem with that of noncoherent sequence detection. Based on this we propose fast beamforming vector search algorithms. Monte-Carlo simulations are presented to show that the performance is comparable to the best known codebooks, and that the search complexity can be reduced by several orders of magnitude.

AB - This paper considers the problem of beamforming in multiple-input multiple-output (MIMO) wireless systems. Assuming perfect channel state information at the receiver, the choice of the beamforming vector is made possible through a noiseless limited-rate feedback of one or more bits per coefficient to the transmitter. This paper proposes the use of beamforming codebooks based on quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations, which essentially eliminates the need for storage of the codebook. We show that such codebooks perform arbitrarily close to the perfect feedback case as the constellation size increases, and that full diversity order is achieved. We demonstrate an equivalence between the beamforming codebook search problem with that of noncoherent sequence detection. Based on this we propose fast beamforming vector search algorithms. Monte-Carlo simulations are presented to show that the performance is comparable to the best known codebooks, and that the search complexity can be reduced by several orders of magnitude.

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QAM and PSK codebooks for limited feedback MIMO beamforming

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