The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Coordinated Beamforming for MISO Interference Channel: Complexity Analysis and Efficient Algorithms
Abstract
In a cellular wireless system, users located at cell edges often suffer significant out-of-cell interference. Assuming each base station is equipped with multiple antennas, we can model this scenario as a multiple-input single-output (MISO) interference channel. In this paper we consider a coordinated beamforming approach whereby multiple base stations jointly optimize their downlink beamforming vectors in order to simultaneously improve the data rates of a given group of cell edge users. Assuming perfect channel knowledge, we formulate this problem as the maximization of a system utility (which balances user fairness and average user rates), subject to individual power constraints at each base station. We show that, for the single-carrier case and when the number of antennas at each base station is at least two, the optimal coordinated beamforming problem is NP-hard for both the harmonic mean utility and the proportional fairness utility. For general utilities, we propose a cyclic coordinate descent algorithm, which enables each transmitter to update its beamformer locally with limited information exchange and establish its global convergence to a stationary point. We illustrate its effectiveness in computer simulations by using the space matched beamformer as the benchmark.
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(1979) · Cited by 43,841
(2021) · A First Course in Statistical Programming with R · doi:10.1017/9781108993456.011 · Cited by 13,724
(1999) · Springer Series in Operations Research and Financial Engineering · doi:10.1007/b98874 · Cited by 9,482
Parallel and Distributed Computation: Numerical Methods
Bertsekas, D. P., & Tsitsiklis, J. N. (1989) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 5,293
Two-Point Step Size Gradient Methods
BARZILAI, J., & BORWEIN, J. M. (1988) · IMA Journal of Numerical Analysis · doi:10.1093/imanum/8.1.141 · Cited by 2,873
Computation of channel capacity and rate-distortion functions
Blahut, R. (1972) · IEEE Transactions on Information Theory · doi:10.1109/tit.1972.1054855 · Cited by 1,381
Sum capacity of the vector Gaussian broadcast channel and uplink–downlink duality
Viswanath, P., & Tse, D. N. C. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2003.814483 · Cited by 1,290
Linear precoding via conic optimization for fixed MIMO receivers
Wiesel, A., Eldar, Y. C., & Shamai, S. (2006) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2005.861073 · Cited by 974
Dynamic Spectrum Management: Complexity and Duality
Luo, Z.-Q., & Zhang, S. (2008) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2007.914876 · Cited by 929
Self-citationKarakayali, M. K., Foschini, G. J., & Valenzuela, R. A. (2006) · IEEE Wireless Communications · doi:10.1109/mwc.2006.1678166 · Cited by 919
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Metadata
- Authors
- Liu, Y.-F., Dai, Y.-H., & Luo, Z.-Q.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2011-03
- Volume
- 59
- Issue
- 3
- Pages
- 1142-1157
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W2109800347
- Cited by
- 286
- References
- 33
- FWCI
- 12.96
- Type
- journal article
- Language
- en
- Open access
- closed
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