The degrees of freedom of isotropic MIMO interference channels without state information at the transmitters

Yan Zhu*, Dongning Guo

*Corresponding author for this work

Research output: Contribution to journalArticle

49 Scopus citations

Abstract

This paper fully determines the degree-of-freedom (DoF) region of two-user interference channels with arbitrary number of transmit and receive antennas in the case of isotropic and independent (or block-wise independent) fading, where the channel state information is available to the receivers but not to the transmitters. Thus, the DoF gap between previous upper and lower bounds due to the authors, Vaze and Varanasi, and Huang, Jafar, Shamai, and Vishwanath is closed. The DoF result characterizes the capacity region to the first order of the logarithm of the signal-to-noise ratio (SNR) in the high-SNR regime. The DoF region is achievable by using random Gaussian codebooks independent of the channel states, which implies that it is impossible to increase the DoF using beamforming and interference alignment in the absence of channel state information at the transmitters.

Original languageEnglish (US)
Article number6017121
Pages (from-to)341-352
Number of pages12
JournalIEEE Transactions on Information Theory
Volume58
Issue number1
DOIs
StatePublished - Jan 1 2012

Keywords

  • Capacity region
  • channel state information
  • degree of freedom (DoF)
  • interference channel
  • isotropic fading
  • multiple antennas
  • multiple-input multiple-output (MIMO) channel
  • wireless networks

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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