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## Optimal Spectrum Management in Two-User Interference Channels

### Citations

293 | Spectrum sharing for unlicensed bands
- Etkin, Parekh, et al.
- 2007
(Show Context)
Citation Context ...strategies [16] (i.e., users may use partially-overlapping spectrums). There exist an extensive literature on the effect of cross coupling on choosing between FDMA and frequency sharing. The works in =-=[6]-=- and [10] provide sufficient conditions under which FDMA is guaranteed to be optimal; these conditions are group-wise conditions, i.e., each pair of users need to satisfy the condition. Recently, Zhao... |

263 | Distributed multiuser power control for digital subscriber lines
- Yu, Ginis, et al.
- 2002
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Citation Context ...ny pareto optimal solution. In the general interference scenarios in multiuser systems, the weighted sum-rate maximization problem is a non-convex optimization problem, and is generally hard to solve =-=[14]-=-. However, two general approaches have been proposed: (i) One approach considers the Lagrangian dual problem decomposed in frequency after first descretizing the spectrum [15]; the resulting Lagrangia... |

190 | Dual methods for nonconvex spectrum optimization of multicarrier systems
- Yu, Lui
- 2006
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Citation Context ... generally hard to solve [14]. However, two general approaches have been proposed: (i) One approach considers the Lagrangian dual problem decomposed in frequency after first descretizing the spectrum =-=[15]-=-; the resulting Lagrangian dual problem is convex and potentially easier to solve [3], [11]. More importantly, [11] proves that the duality gap goes to zero when the number of “sub-channels” goes to i... |

123 | Dynamic spectrum management: Complexity and duality
- Luo, Zhang
- 2008
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Citation Context ...approach considers the Lagrangian dual problem decomposed in frequency after first descretizing the spectrum [15]; the resulting Lagrangian dual problem is convex and potentially easier to solve [3], =-=[11]-=-. More importantly, [11] proves that the duality gap goes to zero when the number of “sub-channels” goes to infinity. However, the time-complexity of their method is a high-degree polynomial in the nu... |

72 | Optimal multiuser spectrum balancing for digital subscriber lines
- Cendrillon, Yu, et al.
- 2006
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Citation Context ... One approach considers the Lagrangian dual problem decomposed in frequency after first descretizing the spectrum [15]; the resulting Lagrangian dual problem is convex and potentially easier to solve =-=[3]-=-, [11]. More importantly, [11] proves that the duality gap goes to zero when the number of “sub-channels” goes to infinity. However, the time-complexity of their method is a high-degree polynomial in ... |

39 |
Binary power control for sum rate maximization over multiple interfering links
- Gjendemsjø, Gesbert, et al.
- 2008
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Citation Context ...Power In this section, we prove that in an optimal SAPD solution, each user uses maximum total power. We note that our result does not contradict the prior “binary-power control” results of [4], [5], =-=[7]-=-, [8] who consider a different and restricted model. In particular, they consider a model wherein each user uses a constant PSD across the available spectrum (i.e., each user either uses the entire sp... |

30 | Optimal power allocation and scheduling for two-cell capacity maximization
- Gjendemsjo, Gesbert, et al.
- 2006
(Show Context)
Citation Context ... In this section, we prove that in an optimal SAPD solution, each user uses maximum total power. We note that our result does not contradict the prior “binary-power control” results of [4], [5], [7], =-=[8]-=- who consider a different and restricted model. In particular, they consider a model wherein each user uses a constant PSD across the available spectrum (i.e., each user either uses the entire spectru... |

28 | Spectrum Management for Interference-Limited Multiuser Communication Systems
- Hayashi, Luo
(Show Context)
Citation Context ...es [16] (i.e., users may use partially-overlapping spectrums). There exist an extensive literature on the effect of cross coupling on choosing between FDMA and frequency sharing. The works in [6] and =-=[10]-=- provide sufficient conditions under which FDMA is guaranteed to be optimal; these conditions are group-wise conditions, i.e., each pair of users need to satisfy the condition. Recently, Zhao and Pott... |

25 | Power allocation and asymptotic achievable sum-rates in single-hop wireless networks
- Ebrahimi, Maddah-Ali, et al.
- 2006
(Show Context)
Citation Context ...imum Power In this section, we prove that in an optimal SAPD solution, each user uses maximum total power. We note that our result does not contradict the prior “binary-power control” results of [4], =-=[5]-=-, [7], [8] who consider a different and restricted model. In particular, they consider a model wherein each user uses a constant PSD across the available spectrum (i.e., each user either uses the enti... |

13 |
Interference avoidance and control
- Gummadi, Patra, et al.
- 2008
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Citation Context ...trums. We can solve the first and the second cases optimally by using the below Lemmas 2 and 3 respectively. We defer the proofs to Appendix C, but Lemma 2 is a slight generalization of a result from =-=[9]-=- while Lemma 3 follows easily from Equation 2 and Lemma 1. Lemma 2: Consider a system of two users {1, 2}, and an available spectrum [0,W ]. If the spectrums used by the two users are disjoint, then t... |

11 | Duality gap estimation and polynomial time approximation for optimal spectrum management
- Luo, Zhang
- 2009
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Citation Context ...lly improves on these results and solves the problem for the general case of two users, using an entirely different technique. Discrete Frequency Spectrum Management. In other related works, [11] and =-=[12]-=- consider the spectrum management problem in discrete frequency domain, wherein the available spectrum is already divided into given orthogonal channels and user power spectral densities are constant ... |

6 |
Maximizing the Sum Rate in Symmetric Networks of Interfering Links
- Bhaskaran, Hanly, et al.
- 2010
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Citation Context ...oaches almost reduce the spectrum management problem to a convex optimization problem, they fall short of designing an optimal or approximation algorithm with bounded convergence. The recent works in =-=[2]-=-, [16] find the optimal solution for the special case of two “symmetric” users; their result is very specific, and doesn’t generalize to weighted or non-symmetric links. In another insightful work, [1... |

4 |
Maximum sum rates via analysis of 2-user interference channel achievable rates region
- Charafeddine, Paulraj
- 2009
(Show Context)
Citation Context ...s Maximum Power In this section, we prove that in an optimal SAPD solution, each user uses maximum total power. We note that our result does not contradict the prior “binary-power control” results of =-=[4]-=-, [5], [7], [8] who consider a different and restricted model. In particular, they consider a model wherein each user uses a constant PSD across the available spectrum (i.e., each user either uses the... |

4 |
Optimal spectrum management in multiuser interference channels
- Zhao, Pottie
- 2009
(Show Context)
Citation Context ...d to as strong interference scenario), and frequency sharing is optimal when the cross coupling is very weak. In the intermediate case, the optimal solution may be a combination of the two strategies =-=[16]-=- (i.e., users may use partially-overlapping spectrums). There exist an extensive literature on the effect of cross coupling on choosing between FDMA and frequency sharing. The works in [6] and [10] pr... |

3 |
Optimal Spectrum Allocation in Gaussian Interference Networks
- Shen, Zhou, et al.
- 2008
(Show Context)
Citation Context ...2], [16] find the optimal solution for the special case of two “symmetric” users; their result is very specific, and doesn’t generalize to weighted or non-symmetric links. In another insightful work, =-=[13]-=- gives a characterization of the optimal solution for the two-user case which essentially yields a four to six variable equation. Our work essentially improves on these results and solves the problem ... |