English

Codebook Design for Millimeter-Wave Channel Estimation with Hybrid Precoding Structure

Information Theory 2016-03-10 v1 math.IT

Abstract

In this paper, we study hierarchical codebook design for channel estimation in millimeter-wave (mmWave) communications with a hybrid precoding structure. Due to the limited saturation power of mmWave power amplifier (PA), we take the per-antenna power constraint (PAPC) into consideration. We first propose a metric, i.e., generalized detection probability (GDP), to evaluate the quality of \emph{an arbitrary codeword}. This metric not only enables an optimization approach for mmWave codebook design, but also can be used to compare the performance of two different codewords/codebooks. To the best of our knowledge, GDP is the first metric particularly for mmWave codebook design for channel estimation. We then propose an approach to design a hierarchical codebook exploiting BeaM Widening with Multi-RF-chain Sub-array technique (BMW-MS). To obtain crucial parameters of BMW-MS, we provide two solutions, namely a low-complexity search (LCS) solution to optimize the GDP metric and a closed-form (CF) solution to pursue a flat beam pattern. Performance comparisons show that BMW-MS/LCS and BMW-MS/CF achieve very close performances, and they outperform the existing alternatives under the PAPC.

Keywords

Cite

@article{arxiv.1603.02734,
  title  = {Codebook Design for Millimeter-Wave Channel Estimation with Hybrid Precoding Structure},
  author = {Zhenyu Xiao and Pengfei Xia and Xiang-Gen Xia},
  journal= {arXiv preprint arXiv:1603.02734},
  year   = {2016}
}

Comments

14 pages, 10 figures. Hierarchical codebook design for mmWave channel estimation with a hybrid precoding structure. Submitted to TWC

R2 v1 2026-06-22T13:06:53.824Z