The algebra of MIMO channels

Emmanuel Auguste Abbe, Emre Telatar, Lizhong Zheng

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

8 Scopus citations

Abstract

We consider ergodic coherent MIMO channels. We characterize the optimal input distribution for various fading matrix distributions. First, we describe how symmetries in the fading matrix distribution and the constraint set are preserved as symmetries in the optimal input covariance and thus yield to specification of the optimal input. We will see that group structures and notion of commutant appear as key elements. Second, we investigate the Kronecker model, in this case we will show how an asymmetric structure in the problem is also preserved in the optimal input structure, leading to a new water-filling situation.

Original languageEnglish (US)
Title of host publication43rd Annual Allerton Conference on Communication, Control and Computing 2005
PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages317-326
Number of pages10
Volume1
ISBN (Electronic)9781604234916
StatePublished - Jan 1 2005
Externally publishedYes
Event43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States
Duration: Sep 28 2005Sep 30 2005

Other

Other43rd Annual Allerton Conference on Communication, Control and Computing 2005
CountryUnited States
CityMonticello
Period9/28/059/30/05

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Computer Science Applications

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  • Cite this

    Abbe, E. A., Telatar, E., & Zheng, L. (2005). The algebra of MIMO channels. In 43rd Annual Allerton Conference on Communication, Control and Computing 2005 (Vol. 1, pp. 317-326). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.