On the Multiplexing Gain of Discrete-Time MIMO Phase Noise Channels

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Abstract

The capacity of a point-To-point discrete-Time multi-input-multiple-output (MIMO) channel with phase uncertainty (MIMO phase noise channel) is still open. As a matter of fact, even the pre-log (multiplexing gain) of the capacity in the high signal-To-noise ratio (SNR) regime is unknown in general. We make some progress in this direction for two classes of such channels. With phase noise on the individual paths of the channel (model A), we show that the multiplexing gain is 1 2 , which implies that the capacity does not scale with the channel dimension at high SNR. With phase noise at both the input and output of the channel (model B), the multiplexing gain is upper-bounded by 1 2 min{nt, (nr-2) ++ 1}, and lowerbounded by 1 2 min{nt,-nr+1 2-}, where nt and nr are the number of transmit and receive antennas, respectively. The multiplexing gain is enhanced to 12 min{nt, nr} without receive phase noise, and to 12 min{2nt-1, nr} without transmit phase noise. In all the cases of model B, the multiplexing gain scales linearly with min{nt, nr}. Our main results rely on the derivation of non-Trivial upper and lower bounds on the capacity of such channels.

Original languageEnglish
Article number7817775
Pages (from-to)2394-2408
Number of pages15
JournalIEEE Transactions on Information Theory
Volume63
Issue number4
DOIs
StatePublished - Apr 2017

Keywords

  • Phase noise channel
  • channel capacity
  • duality upper bound
  • multiple-input-multiple-output (MIMO)
  • multiplexing gain

All Science Journal Classification (ASJC) codes

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

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