Dirty paper coding: Perturbing off the
                    infinite dimensional lattice limit

Foschini, G.J.; Díaz, Alirio

doi:10.1090/dimacs/062/09

Cited by 19 publications

(13 citation statements)

References 0 publications

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“…In that case, ZFB only achieves a large fraction (70% − 80%) of the sum-capacity. Therefore, our setting of a fixed N t and a much larger K favors the use of ZFB over RKI in a practical cellular system, since the latter requires nested lattice codes, whose encoding and decoding is not easy, to implement interference pre-subtraction [7], [8]. Comparing the achievable sum-rate of ZFB corresponding to K = 20 and K = 40, we conclude that doubling the number of receive antennas for each user will not significantly increase the achievable sum-rate of ZFB if K N t .…”

Section: Simulation Resultsmentioning

confidence: 99%

“…RKI uses QR decomposition to triangularize the matrix channel and reduce it into at most N t parallel scalar sub-channels associated with different users, where the k -th sub-channel has interference only from subchannels with index less than k. Since the interference is non-causally known in each sub-channel, "writing on dirty paper" type coding is then applied sequentially on each subchannel to pre-subtract interference, which requires a modulus operation and dithering at the encoder and modulus operation at the decoder [7], [8]. It has been shown in [5] that RKI is optimal for asymptotically large SNR regardless of user ordering during the triangularization process if N r = 1 and N t > K. However, for practical values of SNR, RKI may not necessarily achieve the sum-rate capacity; different ordering results in different achievable rate.…”

Section: Practical Schemesmentioning

confidence: 99%

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Some results on the sum-rate capacity of MIMO fading broadcast channels

Xie

Georghiades²

2006

IEEE Trans. Wireless Commun.

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We study the ergodic sum-rate capacity of the fading MIMO broadcast channel which is used to model the downlink of a cellular system with Nt transmit antennas at the base and K mobile users each having Nr receive antennas. Assuming perfect channel state information (CSI) for all users is available at the transmitter and the receivers, we evaluate the sum-rate capacity numerically using the duality between uplink and downlink. Assuming Nt K, we also derive both upper and lower bounds on the sum-rate capacity to study its increase rate due to multi-user diversity. Finally, we compare three transmission schemes which use the single-user-MIMO scheme (SU-MIMO), ranked known interference (RKI) and zeroforcing beamforming (ZFB), respectively, to transmit to a selected set of users in order to approach the sum-rate capacity. We show that both ZFB and RKI outperform SU-MIMO in a cellular downlink scenario when many mobile users are present.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Practical Schemesmentioning

confidence: 99%

Some results on the sum-rate capacity of MIMO fading broadcast channels

Xie

Georghiades²

2006

IEEE Trans. Wireless Commun.

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“…It permits application of dirty-paper coding designed for single-input single-output (SISO) systems. We refer the reader to [4,5,6,13,14,15,16] for further details on the DPC schemes. By applying the transformation in (11), the signal intended for terminal 1 is received without interference.…”

Section: Transmitter Optimization Schemesmentioning

confidence: 99%

“…One practical, but suboptimal, single-dimensional DPC solution is described in [14,15]. Starting from that solution we introduce the DPC scheme.…”

Section: B Spatial Prefiltering With Dpcmentioning

confidence: 99%

Adaptive Transmitter Optimization in Multiuser Multiantenna Systems: Theoretical Limits, Effect of Delays, and Performance Enhancements

Samardžija¹,

Mandayam

Chizhik³

2005

J Wireless Com Network

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The advances in programmable and reconfigurable radios have rendered feasible transmitter optimization schemes that can greatly improve the performance of multiple-antenna multiuser systems. Reconfigurable radio platforms are particularly suitable for implementation of transmitter optimization at the base station. We consider the downlink of a wireless system with multiple transmit antennas at the base station and a number of mobile terminals (i.e., users) each with a single receive antenna. Under an average transmit power constraint, we consider the maximum achievable sum data rates in the case of (1) zero-forcing (ZF) spatial prefilter, (2) modified zero-forcing (MZF) spatial prefilter, and (3) triangularization spatial prefilter coupled with dirty-paper coding (DPC) transmission scheme. We show that the triangularization with DPC approaches the closed-loop MIMO rates (upper bound) for higher SNRs. Further, the MZF solution performs very well for lower SNRs, while for higher SNRs, the rates for the ZF solution converge to the MZF rates. An important impediment that degrades the performance of such transmitter optimization schemes is the delay in channel state information (CSI). We characterize the fundamental limits of performance in the presence of delayed CSI and then propose performance enhancements using a linear MMSE predictor of the CSI that can be used in conjunction with transmitter optimization in multiple-antenna multiuser systems.

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“…The first class of solutions uses "dirty paper coding" [2], which is a nonlinear precoding scheme for interference precancellation proposed by Costa [3]. The underlying idea is that when a transmitter has advance knowledge of the interference of a channel, an appropriate code can be designed to compensate for it, and the capacity of the channel is the same as if there was no interference.…”

Section: Introductionmentioning

confidence: 99%