A virtual MIMO channel representation and applications

  • Authors:
  • Akbar M. Sayeed

  • Affiliations:
  • Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI

  • Venue:
  • MILCOM'03 Proceedings of the 2003 IEEE conference on Military communications - Volume I
  • Year:
  • 2003

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Abstract

A key to maximal exploitation of MIMO (multiple-input multiple-output) systems is a fundamental understanding of the interaction between the underlying complex physical scattering environment and the space-time signal space. In time- and frequency-selective MIMO (space-time) channels, this interaction happens in time, frequency and space. We present a four-dimensional Karhunen-Loeve-like virtual representation for space-time channels that captures such interaction and exposes the intrinsic degrees of freedom in the channel. The virtual representation is a Fourier series dictated by the finite array apertures, signaling duration and bandwidth and corresponds to a uniform, fixed sampling of the angle-delay-Doppler scattering space. It provides a much-needed connection between the two existing (extreme) modeling approaches - idealized statistical models and detailed physical (ray tracing) models. In particular, it yields a simple geometric interpretation of the effects of physical scattering on channel statistics and capacity. We discuss various insights into the structure of space-time channels afforded by the virtual representation as well its application in capacity assessment, spatial multiplexing and space-time code design.