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A general duality theory for uplink and downlink beamforming
Abstract
We assume a multiuser downlink scenario, where the SINR at each mobile is controlled by adjusting spatial pre-filters and transmission powers at the base station, prior to transmission. In this context, an interesting duality between uplink and downlink beamforming was observed throughout the last decade. This duality allows the joint downlink optimization problem to be solved efficiently by considering the equivalent uplink problem instead, which is easier to handle. In this paper we characterize the interference scenarios and noise levels for which the SINR requirements can be supported for a given power constraint. Moreover, we provide necessary and sufficient conditions for duality. Finally, it is shown how duality can be applied in order to derive optimal transmission strategies for combined downlink beamforming and Costa pre-coding.
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Cites
Matrix Analysis and Applied Linear Algebra
Meyer, C. (2000) · doi:10.1137/1.9780898719512 · Cited by 3,565
Cited by
Movable-Antenna Enhanced Multiuser Communication via Antenna Position Optimization
Zhu, L., Ma, W., Ning, B., & Zhang, R. (2024) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2023.3338626 · Cited by 355
A Deep Learning Framework for Optimization of MISO Downlink Beamforming
Xia, W., Zheng, G., Zhu, Y., Zhang, J., Wang, J., & Petropulu, A. P. (2020) · IEEE Transactions on Communications · doi:10.1109/tcomm.2019.2960361 · Cited by 345
Coordinated Beamforming for MISO Interference Channel: Complexity Analysis and Efficient Algorithms
Liu, Y.-F., Dai, Y.-H., & Luo, Z.-Q. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2092772 · Cited by 286
Metadata
- Authors
- Boche, H., & Schubert, M.
- Venue
- Proceedings IEEE 56th Vehicular Technology Conference
- Publisher
- IEEE
- Published
- 2003-06-25
- Pages
- 87-91
- ISSN
- 1090-3038 (ISSN-L)
- OpenAlex
- W2110323470
- Cited by
- 179
- References
- 1
- FWCI
- 13.43
- Type
- conference paper
- Language
- en
- Open access
- closed
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