On MIMO detection under non-Gaussian target scattering: the power-limited case

  • Authors:
  • Augusto Aubry;Marco Lops;Antonia M. Tulino;Luca Venturinot

  • Affiliations:
  • DIBET, Università degli Studi di Napoli "Federico II", Napoli, Italy;DAEIMI, Università degli Studi di Cassino, Cassino, FR, Italy;DIBET, Università degli Studi di Napoli "Federico II", Napoli, Italy;DAEIMI, Università degli Studi di Cassino, Cassino, FR, Italy

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
  • Year:
  • 2009

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Abstract

We consider a multiple-input multiple-output (MIMO) detection problem with widely-spaced antennas at both the transmitter and the receiver, and we assume that target scattering is modeled as an exchangeable and unitarily-invariant process. We illustrate optimal signal design (i.e., space-time coding) at the transmitter for two criteria, i.e, the lower Chernoff bound (LCB) to the detection probability for fixed probability of false alarm and the mutual information (MI) between the observations and the target scattering matrix, under a semidefinite rank constraint and a transmit power constraint, showing that the Gaussian scattering assumption is robust. A by-product, of not secondary importance, of our derivation is the proof of a number of new properties concerning concavity and Schurconcavity of MI and LCB.