MmWave Channel Estimation via Atomic Norm Minimization for Multi-User Hybrid Precoding

Junquan Deng*, Olav Tirkkonen, Christoph Studer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

12 Citations (Scopus)

Abstract

To perform multi-user multiple-input and multiple-output transmission in millimeter-wave (mmWave) cellular systems, the high-dimensional channels need to be estimated for designing the multi-user precoder. Conventional grid-based Compressed Sensing (CS) methods for mmWave channel estimation suffer from the basis mismatch problem, which prevents accurate channel reconstruction and degrades the precoding performance. This paper formulates mmWave channel estimation as an Atomic Norm Minimization (ANM) problem. In contrast to grid-based CS methods which use discrete dictionaries, ANM uses a continuous dictionary for representing the mmWave channel. We consider a continuous dictionary based on sub-sampling in the antenna domain via a small number of radio frequency chains. We show that mmWave channel estimation using ANM can be formulated as a Semi-detinite Programming (SDP) problem, and the channel can be accurately estimated via off-the-shelf SDP solvers in polynomial time. Simulation results indicate that ANM can achieve much better estimation accuracy compared to grid-based CS, and significantly improves the spectral efficiency provided by multi-user precoding.

Original languageEnglish
Title of host publication2018 IEEE WIRELESS COMMUNICATIONS AND NETWORKING CONFERENCE (WCNC)
PublisherIEEE
Pages1-6
Number of pages6
ISBN (Electronic)978-1-5386-1734-2
DOIs
Publication statusPublished - 15 Apr 2018
MoE publication typeA4 Article in a conference publication
EventIEEE Wireless Communications and Networking Conference - Barcelona, Spain
Duration: 15 Apr 201818 Apr 2018

Publication series

NameIEEE Wireless Communications and Networking Conference
PublisherIEEE
ISSN (Print)1525-3511

Conference

ConferenceIEEE Wireless Communications and Networking Conference
Abbreviated titleWCNC
Country/TerritorySpain
CityBarcelona
Period15/04/201818/04/2018

Keywords

  • Compressed Sensing
  • channel estimation
  • mm-wave
  • Massive MIMO

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