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MIMO broadcast channel rate region with linear precoding at high SNR without full multiplexing

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4 Author(s)
Paul de Kerret ; Institute for Theoretical Information Technology, RWTH Aachen University, 52056 Aachen, Germany ; Michael Joham ; Wolfgang Utschick ; Rudolf Mathar

In this paper, the rate region of the two user MIMO broadcast channel (BC) with linear filtering at high signal-to-noise ratio (SNR) is studied when time sharing is not available and the transmitter has fewer antennas than the sum of the receiving antennas. To reach the boundary of the rate region, the sum rate is maximized subject to a rate ratio constraint. Furthermore, the sum rate is approximated as an affine function of the logarithm of the SNR and the two parameters of this approximation, which are the multiplexing gain (MG) and the rate offset (RO), are derived. This leads directly to the asymptotic rate region, particularly interesting because it is obtained in simple analytical form and offers a good approximation at high but finite SNR. We then consider the rate region boundary at finite SNR and derive algorithmic bounds for it, which are accurate even at intermediate SNR.

Published in:

Information Theory and its Applications (ISITA), 2010 International Symposium on

Date of Conference:

17-20 Oct. 2010