MIMO Broadcast Channel Rate Region with Linear Filtering at High SNR: Full Multiplexing


P. d. Kerret, R. Hunger, M. Joham, W. Utschick, R. Mathar,


        In this paper, the rate region of the two user MIMO broadcast channel (BC) is investigated in the high signal-to-noise ratio (SNR) regime, when linear precoding is used without time sharing. The transmitter is assumed to have more antennas than the sum of the receiving antennas, which is a meaningful assumption in cellular network after a scheduler has been used. To reach the rate region’s boundary, the sum rate is maximized subject to a given ratio between the user’s rates. The sum rate is first considered asymptotically when the SNR tends to infinity and the well known high SNR affine approximation in terms of the logarithm of the SNR is used. The multiplicative and the additive parameters are called respectively the multiplexing gain (MG) and the rate offset (RO) and the maximal values of these two parameters, which were not known in that case with proportional rate fairness considered, are derived at every point of the boundary of the rate region, as well as the optimal stream allocations associated with them. Analytical bounds for the boundary of the high SNR approximated rate region are then developed. Finally, the maximization of the rate subject to a rate ratio constraint is studied at finite SNR and algorithmic inner and outer bounds for the rate region boundary are derived. They are shown to be very close to each other and accurate even at intermediate SNR.

BibTEX Reference Entry 

	author = {Paul de Kerret and Raphael Hunger and Michael Joham and Wolfgang Utschick and Rudolf Mathar},
	title = "MIMO Broadcast Channel Rate Region with Linear Filtering at High SNR: Full Multiplexing",
	pages = "1-6",
	booktitle = "{IEEE} International Conference on Communications ({ICC} 2011)",
	address = {Kyoto, Japan},
	doi = 10.1109/icc.2011.5962876  ,
	month = Jun,
	year = 2011,
	hsb = hsb999910118716,


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