Codebook design for hybrid beamforming in millimeter wave systems

Song, Jiho; Choi, Junil; Love, David J.

doi:10.1109/icc.2015.7248502

Cited by 57 publications

(39 citation statements)

References 11 publications

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“…Thus, we assume retransmission of the codewords in F mF sounded during the first training stage where W mF represents the number of retransmissions. The system model and the detection process at the first training stage can be described by replacing the index of the codebook in (12) and (15) training stages allocated for sounding the codewords in {F m : m F < m ≤ m L }, we assume that each codeword is transmitted once, i.e., we set W m = 1 in (12) and (15) …”

Section: B Adaptive Multilevel Beam Alignment and Sequence Designmentioning

confidence: 99%

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Multi-Resolution Codebook and Adaptive Beamforming Sequence Design for Millimeter Wave Beam Alignment

Noh

Zoltowski

Love

2017

IEEE Trans. Wireless Commun.

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233

185

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Abstract-Millimeter wave (mmWave) communication is expected to be widely deployed in fifth generation (5G) wireless networks due to the substantial bandwidth available at mmWave frequencies. To overcome the higher path loss observed at mmWave bands, most prior work focused on the design of directional beamforming using analog and/or hybrid beamforming techniques in largescale multiple-input multiple-output (MIMO) systems. Obtaining potential gains from highly directional beamforming in practical systems hinges on sufficient levels of channel estimation accuracy, where the problem of channel estimation becomes more challenging due to the substantial training overhead needed to sound all directions using a high-resolution narrow beam. In this work, we consider the design of multi-resolution beamforming sequences to enable the system to quickly search out the dominant channel direction for single-path channels. The resulting design generates a multilevel beamforming sequence that strikes a balance between minimizing the training overhead and maximizing beamforming gain, where a subset of multilevel beamforming vectors is chosen adaptively to provide an improved average data rate within a constrained time. We propose an efficient method to design a hierarchical multiresolution codebook utilizing a Butler matrix, a generalized discrete Fourier transform (DFT) matrix implemented using analog RF circuitry. Numerical results show the effectiveness of the proposed algorithm.

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Section: B Adaptive Multilevel Beam Alignment and Sequence Designmentioning

confidence: 99%

“…To design accurate approximations to the ideal beam patterns, much of the prior work considers analog beamforming [6]- [8] and hybrid beamforming techniques [10]- [12] where the codebook is assumed to be designed off-line constructed using a limited number of RF chains.…”

Section: Proposed Codebook Design Techniquementioning

confidence: 99%

Multi-Resolution Codebook and Adaptive Beamforming Sequence Design for Millimeter Wave Beam Alignment

Noh

Zoltowski

Love

2017

IEEE Trans. Wireless Commun.

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233

185

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“…Hence, the optimum number of sub-arrays that yields both significantly high BF and diversity gains is 2. This design can be interpreted as a dual-functional MIMO [17] equipped both with BF and diversity gains.The RF beamformer F RF and the baseband TPC F BB can be obtained from [8], [18] or from the DFT and MUB which is described in Sec. IV.…”

Section: A Shannon Capacitymentioning

confidence: 99%

“…In particular, for fully-connected array designs, Song et al [8] conceived a codebook design based upon a popular technique known as orthogonal matching pursuit. In [9], Alkhateeb et al proposed an RF codebook design for mmWave systems.…”

Section: Introductionmentioning

confidence: 99%

Dual-Function Hybrid Beamforming and Transmit Diversity Aided Millimeter Wave Architecture

Satyanarayana

El‐Hajjar

Kuo

et al. 2018

IEEE Trans. Veh. Technol.

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Abstract-In this correspondence, we propose a dual-function hybrid beamforming architecture, where the antenna array is split into sub-arrays that are separated by a sufficiently large distance so that each sub-array experiences independent fading. The proposed architecture attains the dual-functions of beamforming and diversity. We then demonstrate that splitting the array into two sub-arrays provides the best performance in terms of the achievable rate as a benefit of the diversity gain obtained in addition to the beamforming gain. However, the performance starts depleting if the array is partitioned into more than two sub-arrays because of diminishing additional diversity gains, which fails to compensate for the beamforming gain erosion due to splitting the antenna arrays. Additionally, we analyze the so-called discrete Fourier transform-mutually unbiased bases (DFT-MUB) aided codebook invoked for the conceived design, which imposes an appealingly low complexity. Explicitly, we show that for the proposed dual-function sub-array-connected design, the DFT-MUB assisted codebook outperforms the state-of-theart precoding benchmarks and performs close to the optimal precoding matrix.

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“…Hybrid beamforming techniques composed of analog and digital beamforming were developed to provide increased multiplexing and beamforming gains while still using a limited number of RF chains [6]- [9].…”

Section: Introductionmentioning

confidence: 99%

Multi-Resolution Codebook Based Beamforming Sequence Design in Millimeter-Wave Systems

Noh¹,

Zoltowski²,

Love³

2014

2015 IEEE Global Communications Conference (GLOBECOM)

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There is growing interest in using millimeter wave (mmWave) communication for fifth generation (5G) wireless systems because of the large bandwidth available in these frequencies. To overcome the higher path loss at mmWave bands, highly directional beamforming using large-scale, or massive, multiple-input multiple-output (MIMO) systems is critical. In this scenario, the problem of channel estimation becomes challenging due to the substantial training overhead needed to sound all possible beam directions using a high-resolution narrow beam. To tackle the issue of beam search in a mmWave system, we consider the use and design of multi-resolution beamforming sequences, which can quickly search out the dominant channel direction in a bisection manner. Given the multi-resolution codebook, the proposed multi-resolution beamforming sequence is designed to strike a balance between minimizing the training overhead and maximizing beamforming gain. We discuss how the multiresolution codebook can be designed using a phase-shifted version of a discrete Fourier transform (DFT) matrix. Numerical results show the effectiveness of the proposed algorithm.

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Codebook design for hybrid beamforming in millimeter wave systems

Cited by 57 publications

References 11 publications

Multi-Resolution Codebook and Adaptive Beamforming Sequence Design for Millimeter Wave Beam Alignment

Multi-Resolution Codebook and Adaptive Beamforming Sequence Design for Millimeter Wave Beam Alignment

Dual-Function Hybrid Beamforming and Transmit Diversity Aided Millimeter Wave Architecture

Multi-Resolution Codebook Based Beamforming Sequence Design in Millimeter-Wave Systems

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