On the duality of Gaussian multiple-access and broadcast channels

By Nihar Jindal, Sriram Vishwanath, Andrea J. Goldsmith. IEEE Transactions on Information Theory, 2002

445 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/c410ac6162ecc1cc6091187c1d2ca6469e8dd935

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Citations in the corpus

Shifting the MIMO Paradigm (2007, methodology): “Although difficult to realize in practice, the computation of the region above is facilitated by exploiting the so-called duality results between the BC and the much simple to obtain MAC capacity region, which stipulate that the BC region can be calculated through the union of regions of the dual MA”
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel (2006, unknown): “To overcome the difficulty of expanding the calculations of the maximum throughput in [7] to more than two users, each equipped with more than one antenna, the idea of MAC-BC duality [13], [20], [22] was used.”
Non-orthogonal Multiple Access (NOMA) with Successive Interference Cancellation for Future Radio Access (2015, methodology): “We can use the iterative water-filling power allocation algorithm [24], [44] that achieves the maximum weighted sum of the user throughput by utilizing the uplink-downlink duality presented, for example, in [9] and [10].”
5G Network Capacity: Key Elements and Technologies (2014, unknown): “Because of the duality between the multiple access channel and the broadcast channel [10], we can expect a similar gain by NOMA in the uplink.”
On Ergodic Sum Capacity of Fading Cognitive Multiple-Access and Broadcast Channels (2008, methodology): “By applying the MAC-BC duality result [35] at each fading state, for a given PBC, the maximum achievable average sum-rate of the fading C-BC can b e equivalently obtained as RBC(PBC) = max PMAC: PK k=1 pk(n)≤q(n),∀n RMAC(PMAC).”
Power and Channel Allocation for Non-Orthogonal Multiple Access in 5G Systems: Tractability and Computation (2016, background): “From an information theory perspective, under the assumption of simultaneous multi-user transmission via superposition coding with SIC, capacity region and duality analysis have been studied in [7].”
Multi-Cell MIMO Cooperative Networks: A New Look at Interference (2010, methodology): “The duality result established in [128] solves the optimal downlink beamforming problem with a sum power constraint across all the antennas.”
On the achievable throughput of a multiantenna Gaussian broadcast channel (2003, background): “However, the GBC for is, in general, a nondegraded BC, for which the capacity region is not fully known [8], [10], [21], and cannot be reduced to an equivalent set of parallel degraded BCs (studied in [22]–[24], [19], [25], [20]).”
Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints (2007, methodology): “Capacity region duality has been previously proved under the sum power constraint in [12], [13], and [15] using a very different proof technique.”
Random Matrix Theory and Wireless Communications (2004, background): “As shown in [35, 316, 276, 280, 128, 259, 278, 36, 277, 302], in various degrees of generality, the multiantenna broadcast channel capacity region is equal to the union of capacity regions of the dual multiaccess channel, where the union is taken over all individual power constraints that sum to the”
Optimized transmission for fading multiple-access and broadcast channels with multiple antennas (2006, methodology): “Thus, the detailed descriptions of the algorithm for solving Problem 3.3 are omitted here except that is a subgradient of the dual function at .”
Capacity limits of MIMO channels (2003, unknown): “tiple-access channels [44].”