Essential degrees of freedom in time and frequency selective MIMO channels

Akbar M. Sayeed, Venu V. Veeravalli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A key to reliable communication is a fundamental understanding of the interaction between the signal space and the channel. In time- and frequency-selective MIMO channels this interaction happens in time, frequency and space. In this paper we propose a four-dimensional Karhunen-Loeve-like Fourier series representation for space-time channels that captures the essence of such interaction and exposes the intrinsic degrees of freedom in the channel. The four dimensions are: time, frequency and the two spatial dimensions at the transmitter and receiver. The key signal space parameters are the signaling duration, bandwidth and the two array apertures. The corresponding channel parameters are the delay, Doppler and the two angular spreads associated with the scattering environment. The representation induces a virtual partitioning of propagation paths in time, frequency and space that reveals their contribution to channel capacity and diversity. It also exposes fundamental dependencies between time, frequency and space thereby revealing the essential independent degrees of freedom in the channel.

Original languageEnglish (US)
Title of host publication5th International Symposium on Wireless Personal Multimedia Communications, WPMC 2002 - Proceedings
PublisherIEEE Computer Society
Pages107-111
Number of pages5
ISBN (Electronic)0780374428
DOIs
StatePublished - 2002
Event5th International Symposium on Wireless Personal Multimedia Communications, WPMC 2002 - Honolulu, United States
Duration: Oct 27 2002Oct 30 2002

Publication series

NameInternational Symposium on Wireless Personal Multimedia Communications, WPMC
Volume1
ISSN (Print)1347-6890

Other

Other5th International Symposium on Wireless Personal Multimedia Communications, WPMC 2002
Country/TerritoryUnited States
CityHonolulu
Period10/27/0210/30/02

Keywords

  • Beamforming
  • Capacity
  • Diversity
  • Doppler
  • MIMO systems
  • Multipath

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Science Applications
  • Human-Computer Interaction

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