Precoding Matrix Indicator in the 5G NR Protocol: A Tutorial on 3GPP Beamforming Codebooks
Boyu Ning, Haifan Yin, Sixu Liu, Hao Deng, Songjie Yang, Yuchen Zhang, Weidong Mei, David Gesbert, Jaebum Park, Robert W. Heath Jr., Emil Bj\"ornson

TL;DR
This paper provides a comprehensive tutorial on 3GPP beamforming codebooks in 5G NR, covering theoretical foundations, standardization evolution, and practical implementation insights to aid researchers and engineers.
Contribution
It offers a systematic examination of PMI codebooks in 5G NR, including design principles, standard evolution, and intuitive explanations, filling gaps in existing documentation.
Findings
Detailed analysis of codebook design principles
Visual and physical interpretations of codebook parameters
Benchmarking and scenario-based applicability insights
Abstract
This paper bridges this critical gap by providing a systematic examination of the beamforming codebook technology, i.e., precoding matrix indicator (PMI), in the 5G NR from theoretical, standardization, and implementation perspectives. We begin by introducing the background of beamforming in multiple-input multiple-output (MIMO) systems and the signaling procedures for codebook-based beamforming in practical 5G systems. Then, we establish the fundamentals of regular codebooks and port-selection codebooks in 3GPP standards. Next, we provide rigorous technical analysis of 3GPP codebook evolution spanning Releases 15-18, with particular focus on: 1) We elucidate the core principles underlying codebook design, 2) provide clear physical interpretations for each symbolic variable in the codebook formulas, summarized in tabular form, and 3) offer intuitive visual illustrations to explain how…
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Taxonomy
TopicsAdvanced MIMO Systems Optimization · Millimeter-Wave Propagation and Modeling · Advanced Wireless Communication Technologies
