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• W2158025811 abstract "Multiple-input-multiple-output (MIMO) systems are capable of delivering substantially higher throughput under favorable circumstances, at the cost of complexity in terms of the number of parameters that must be estimated and processed. Our results are directed toward lowering this computational complexity through reduction of channel information required at the transmitter. Specifically, we examine the case when only the number of degrees of freedom supporting a threshold SNR is known at the transmitter. We show capacity is maximized in this case with a rank-reduced MIMO channel and an equal power distribution over all available antennas. The number of indepen- dent sequences to transmit, i.e. the amount of rank-reduction, is computed by defining the problem such that the optimal number of active data sequences is a capacity maximization problem solvable at the receiver whose results are used at the transmitter. It is shown that in the absence of channel state information, the received SNR for each potential sub-channel is sufficient to determine the optimal number of independent data sequences to transmit. I. INTRODUCTION When the complex multiple-input-multiple-output MIMO channel response is known at the transmitter, unequal transmit power and/or rate distributions over space and time may be used to maximize instantaneous throughput. The power/rate distribution that maximizes capacity is the solution to the water-filling problem in both space and time, see for example (1), (2), (9). We examine the case when the transmitter has no knowledge of the channel response and therefore can not apply water-filling or other methods that require additional a priori information of the channel response. We constrain the problem of achieving capacity such that matching the dimensionality of the transmitted waveform to the channel is an optimization problem that can be solved at the receiver. The results are consumed at the transmitter, matching the number of independent signals to the number of usable sub-channels in the system. Analytical and simulated results for large systems show that the received SNR is the only parameter required to compute the optimal number of independent channels for the transmitter to use over a rank-reduced MIMO channel. Numerical results are presented as achievable capacity versus the number of independent sequences used over correlated channels. The importance of optimizing the number of transmitted sequences is particularly noticeable for poor quality channels, whether the high error rates are due to low SNR or high correlation." @default.
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• W2158025811 date "2006-01-01" @default.
• W2158025811 modified "2023-09-28" @default.
• W2158025811 title "Rank-Reduction of Large MIMO Channels" @default.
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