Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality

By Pramod Viswanath, David Tse. IEEE Transactions on Information Theory, 2003

1,287 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/adcfe0ab65d88f8b63e24021d54ef5757673db05

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Citations in the corpus

Optimized transmission for fading multiple-access and broadcast channels with multiple antennas (2006, background): “…the ergodic capacity region for the fading BC in (5) can be expressed by (7) Since the BC has only one power constraint for the base station, characterization of its power region is equivalent to determination of the minimum power, , above which the average-rate constraints are satisfied, i.e., (8)”
Fast transfer of channel state information in wireless systems (2006, result): “For example, results in [1, 2, 3, 4] show that in a flat-fading Rayleigh scattering environment, sum-rates (total of rates to all users) that grow linearly with the number of basestation antennas are possible if the forward link is known, even if the mobile terminals have only one antenna.”
Great expectations: the value of spatial diversity in wireless networks (2004, background): “The multiantenna broadcast channel problem is one that has generated significant interest and where some recent progress has been made [49], [269], [272], [289].”
Massive MIMO Transmission for LEO Satellite Communications (2020, methodology): “Note that different from the UL-DL duality results based on the perfect iCSI assumption in, e.g., [37] and [38], our result is established using the sCSI at the satellite side.”
On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming (2006, result): “By the uplink–downlink duality result [19] in linear beamforming systems and the duality relationship between the capacity (DPC) regions of MIMO-MAC and MIMO-BC [18]–[20], the sum rates of the MAC using DPC and ZFBF, respectively, are the same as the sum rates of the dual BC.”
MIMO over Satellite: A Review (2011, background): “Therefore, progress in this area [47], [48], [49], [50] has been one of the major achievements in information theory over the last years.”
On the capacity of MIMO broadcast channels with partial side information (2005, result): “Using the duality between the broadcast channel and MAC, the sum rate of MIMO BC, is equal to [ 7 ], [8]”
Max-Min SINR Coordinated Multipoint Downlink Transmission—Duality and Algorithms (2012, background): “Uplink-downlink duality [21], [23]–[26] is often used to convert transmit beamforming problems into equivalent uplink receive beamforming problems [14]–[19], [21], [22], [24], [25].”
On downlink beamforming with greedy user selection: performance analysis and a simple new algorithm (2005, background): “The sum capacity of such a vector Gaussian broadcast channel is [15]”
Multiuser MIMO Achievable Rates With Downlink Training and Channel State Feedback (2007, background): “Under the assumption of perfect channel state information at the transmitter (CSIT) and at the receivers (CSIR), a combination of singleuser Gaussian codes, linear beamforming and “Dirty-Paper Coding” (DPC) [3] is known to achieve the capacity of the MIMO downlink channel [4], [5], [6], [7], [8].”