Service provided by fading MIMO channels: A deterministic perspective

Yunquan Dong, Pingyi Fan, Khaled Letaief

Research output: Contribution to journalArticle

1 Citation (Scopus)


In this paper, we study the channel service process of a multiple-input multiple-output (MIMO) system over an independent and identically distributed (i.i.d.) fading channel. One key problem of communication over fading MIMO channels is what kind of service the MIMO channel can provide. In this paper, this problem is investigated in terms of channel service process. Assuming that the channel state information is available at the receiver, the channel service process S.t/ is defined as the integral of the instantaneous channel capacity over a time interval of length t, which specifies the service provided by the channel during the period. Using the characteristic function approach and the infinitely divisible law, it is proved that the channel service process S.t/ is a deterministic linear function of time t, other than any curve form or a stochastic process. Specifically, S(t) = c∗mimo· t, where c∗mimois a constant equal to the corresponding ergodic capacity. This result has two implications: (i) i.i.d. fading MIMO channels can support a constant rate traffic stream of rate c∗mimowithout higher layer transmission delay; (ii) the ergodic capacity is the actual transmission capacity of the fading channel, other than only a statistical average value.

Original languageEnglish
Pages (from-to)1647-1656
Number of pages10
JournalWireless Communications and Mobile Computing
Issue number17
Publication statusPublished - 10 Dec 2014
Externally publishedYes



  • Channel service process
  • Deterministic time linearity
  • MIMO system
  • Rayleigh fading

ASJC Scopus subject areas

  • Information Systems
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Cite this