The degrees of freedom region of temporally correlated MIMO networks with delayed CSIT

Xinping Yi, Sheng Yang, David Gesbert, Mari Kobayashi

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


We consider the temporally correlated multiple-input multiple-output (MIMO) broadcast channels (BC) and interference channels (IC) where the transmitter(s) has/have 1) delayed channel state information (CSI) obtained from a latency-prone feedback channel as well as 2) imperfect current CSIT, obtained, e.g., from prediction on the basis of these past channel samples based on the temporal correlation. The degrees of freedom (DoF) regions for the two-user broadcast and interference MIMO networks with general antenna configuration under such conditions are fully characterized, as a function of the prediction quality indicator. Specifically, a simple unified framework is proposed, allowing us to attain optimal DoF region for the general antenna configurations and current CSIT qualities. Such a framework builds upon block-Markov encoding with interference quantization, optimally combining the use of both outdated and instantaneous CSIT. A striking feature of our work is that, by varying the power allocation, every point in the DoF region can be achieved with one single scheme. As a result, instead of checking the achievability of every corner point of the outer bound region, as typically done in the literature, we propose a new systematic way to prove the achievability.

Original languageEnglish
Article number6655939
Pages (from-to)494-514
Number of pages21
JournalIEEE Transactions on Information Theory
Issue number1
StatePublished - Jan 2014
Externally publishedYes


  • Broadcast channels
  • degrees of freedom
  • delayed CSIT
  • interference channels
  • MIMO


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