4-ary codebook design using reed-muller codes for MIMO beamforming systems

Young Gil Kim; A. J.Han Vinck

doi:10.1109/TVT.2015.2404844

4-ary codebook design using reed-muller codes for MIMO beamforming systems

Young Gil Kim, A. J.Han Vinck

School of Electrical and Computer Engineering

University of Duisburg-Essen

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

Abstract

We design 4-ary codebooks using Reed-Muller codes for multiple-input-multiple-output (MIMO) beamforming systems. An upperbound on the maximum correlation magnitude metric of a 4-ary codebook is derived from the minimum Hamming distance of the corresponding binary linear block code. The 4-ary MIMO beamforming codebooks for the number of transmit antennas equal to 4, 8, 16, and 32 are tabulated. We show that the 4-ary codebook using Reed-Muller codes provides the same symbol error probability (SEP) as the Long-Term Evolution (LTE) codebook when the number of transmit antennas is 4 and when the number of feedback bits is 4.

Original language	English
Article number	7045603
Pages (from-to)	959-966
Number of pages	8
Journal	IEEE Transactions on Vehicular Technology
Volume	65
Issue number	2
DOIs	https://doi.org/10.1109/TVT.2015.2404844
State	Published - Feb 2016

Keywords

Grassmannian codebook
Multiple-input-multipleoutput (MIMO) beamforming
Reed-Muller code

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10.1109/TVT.2015.2404844

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title = "4-ary codebook design using reed-muller codes for MIMO beamforming systems",

abstract = "We design 4-ary codebooks using Reed-Muller codes for multiple-input-multiple-output (MIMO) beamforming systems. An upperbound on the maximum correlation magnitude metric of a 4-ary codebook is derived from the minimum Hamming distance of the corresponding binary linear block code. The 4-ary MIMO beamforming codebooks for the number of transmit antennas equal to 4, 8, 16, and 32 are tabulated. We show that the 4-ary codebook using Reed-Muller codes provides the same symbol error probability (SEP) as the Long-Term Evolution (LTE) codebook when the number of transmit antennas is 4 and when the number of feedback bits is 4.",

keywords = "Grassmannian codebook, Multiple-input-multipleoutput (MIMO) beamforming, Reed-Muller code",

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AB - We design 4-ary codebooks using Reed-Muller codes for multiple-input-multiple-output (MIMO) beamforming systems. An upperbound on the maximum correlation magnitude metric of a 4-ary codebook is derived from the minimum Hamming distance of the corresponding binary linear block code. The 4-ary MIMO beamforming codebooks for the number of transmit antennas equal to 4, 8, 16, and 32 are tabulated. We show that the 4-ary codebook using Reed-Muller codes provides the same symbol error probability (SEP) as the Long-Term Evolution (LTE) codebook when the number of transmit antennas is 4 and when the number of feedback bits is 4.

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4-ary codebook design using reed-muller codes for MIMO beamforming systems

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