### Citations

12399 | Elements of Information Theory - Cover, Thomas - 1991 |

1164 | Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
- Zheng, Tse
- 2003
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Citation Context ...r as Aij . Let a, b ∈ Cn and x ∈ R, we write a = b + o(x) if ∃τ ∈ Cn,a = b + τ with limx→0 x‖τ‖ = 0. We use the SUBMITTED TO TRANSACTIONS ON INFORMATION THEORY 4 exponential equality f(x) .= xb as in =-=[26]-=- to denote that limx→∞ log(f(x)) log(x) = b. II. SYSTEM MODEL A. Network MIMO We consider a network MIMO setting in which K non-colocated transmitters (TXs) transmit jointly via linear precoding to K ... |

447 | Gaussian interference channel capacity to within one bit
- Etkin, Tse, et al.
- 2008
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Citation Context ...also that the pathloss of the interfering links is parameterized as some function of the SNR. This parameterization allows to model the network geometry and leads to analyze the generalized DoF as in =-=[17]-=-–[23]. This modeling of the pathloss as a function of the SNR is essential to model the effect of the network geometry in a DoF analysis where the SNR is assumed to become infinitely large. Indeed, om... |

359 | A Network Information Theory for Wireless Communication: Scaling Laws and Optimal Operation
- Xie, Kumar
- 2004
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Citation Context ...allocation We consider in this section the scaling behaviour as the number of TX/RX pairs increases. It is then differenciated in the literature between so-called dense networks and extended networks =-=[37]-=-, [38]. In the first model, the size of the network remains constant and the density (number of TX/RX pairs/m2) increases, while in the second the density of the network remains constant as the number... |

263 | Hierarchical cooperation achieves optimal capacity scaling in ad hoc networks
- Ozgur, Leveque, et al.
- 2007
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Citation Context ...tion We consider in this section the scaling behaviour as the number of TX/RX pairs increases. It is then differenciated in the literature between so-called dense networks and extended networks [37], =-=[38]-=-. In the first model, the size of the network remains constant and the density (number of TX/RX pairs/m2) increases, while in the second the density of the network remains constant as the number of TX... |

256 | Multi-cell MIMO cooperative networks: A new look at interference
- Gesbert, Hanly, et al.
- 2010
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Citation Context ... Network (or Multicell) MIMO methods, whereby multiple interfering transmitters (TXs) share user messages and allow for joint precoding, are currently considered for next generation wireless networks =-=[2]-=-. With perfect message and channel state information (CSI) sharing, the different TXs can be seen as a unique virtual multiple-antenna array serving all receivers (RXs), in a multipleantenna broadcast... |

189 | MIMO broadcast channels with finite-rate feedback
- Jindal
- 2006
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Citation Context ...s fulfilling some regularity constraints could be chosen. It is a well known result that the number of CSI feedback bits should scale with the SNR in order to achieve a positive DoF in MISO BCs [24], =-=[30]-=-, [31]. Hence, the prelog factor represents an appropriate measure at high SNR of the amount of CSIT required. Thus, we define the size of a CSIT allocation as follows. Definition 2 (Size of a CSIT al... |

114 | Multiuser MIMO achievable rates with downlink training and channel state feedback.
- Caire, Jindal, et al.
- 2010
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Citation Context ...illing some regularity constraints could be chosen. It is a well known result that the number of CSI feedback bits should scale with the SNR in order to achieve a positive DoF in MISO BCs [24], [30], =-=[31]-=-. Hence, the prelog factor represents an appropriate measure at high SNR of the amount of CSIT required. Thus, we define the size of a CSIT allocation as follows. Definition 2 (Size of a CSIT allocati... |

73 | Capacity of a class of cognitive radio channels: Interference channels with degraded message sets - Wu, Vishwanath, et al. - 2007 |

52 | Generalized degrees of freedom of the symmetric Gaussian K-user interference channel - Jafar, Vishwanath - 2010 |

51 | Network MIMO with linear zeroforcing beamforming: Large system analysis, impact of channel estimation, and reduced-complexity scheduling
- Huh, Tulino, et al.
- 2012
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Citation Context ...eases with the number of TXs inside the cluster. Several works have focused on determining the optimal size of the clusters when taking into account the cost of estimating the channel elements, e.g., =-=[8]-=-, [9]. They suggest that TX cooperation cannot efficiently manage interference, even if the backhaul links are strong enough to form large clusters. The main message behind [9] is that pilot-based cha... |

47 | Interference channel with generalized feedback (a.k.a. with source cooperation): part I: achievable region - Yang, Tuninetti - 2011 |

40 |
A dynamic clustering approach in wireless networks with multi-cell cooperative processing,” in
- Papadogiannis, Gesbert, et al.
- 2008
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Citation Context .... Consequently, the cooperation is usually limited to small cooperation clusters inside which the TXs cooperate. The optimal way of forming these clusters has recently become an active research topic =-=[3]-=-–[7]. Still, clustering leads to some fundamental limitations. Firstly, there is inevitably inter-cluster interference on the boundaries of the cluster and secondly, it requires the obtaining at all t... |

35 | Symmetry and Inverse-Closedness of Matrix Algebras and Symbolic Calculus for Infinite Matrices
- Gröchenig, Leinert
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Citation Context ...mpact the design of precoding coefficients for each other. This can be related to the the space of infinite (either polynomially or exponentially) decaying matrices being closed under inversion [35], =-=[36]-=-. Remark 6. The result easily extends to the case of multiple TX/RX pairs located at the same position. This models then a TX with multiple-antennas serving multiple single-antenna RXs. B. Scaling pro... |

29 | Adaptive spatial intercell interference cancellation in multicell wireless networks
- Zhang, Andrews
- 2010
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Citation Context ...that the optimization of the feedback allocation in the case where the user’s data symbols are not shared between the TXs (i.e., coordinated beamforming) yields a completely different problem setting =-=[10]-=-–[16]. SUBMITTED TO TRANSACTIONS ON INFORMATION THEORY 3 The question that we state is whether it is possible to overcome the fundamental limitations of clustering by optimizing directly the spatial a... |

29 | The degree-of-freedom regions of MIMO broadcast, interference, and cognitive radio channels with no CSIT,” - Vaze, Varanasi - 2012 |

28 | Adaptive limited feedback for sum-rate maximizing beamforming in cooperative multicell systems - Bhagavatula, Heath - 2011 |

23 |
On the required accuracy of transmitter channel state information in multiple antenna broadcast channels
- Caire, Jindal, et al.
- 2007
(Show Context)
Citation Context ...precoding scheme. It is however well known to achieve the maximal DoF in the MIMO BC with perfect CSIT [30], [31]. Furthermore, considering limited feedback in the compound MIMO BC, it is revealed in =-=[34]-=- that no other precoding scheme can achieve the maximal DoF with a lower feedback scaling. This confirms the efficiency of ZF in terms of DoF, even when confronted with imperfect CSI. ZF represents al... |

19 | Unquantized and Uncoded Channel State Information Feedback
- Samardzija, Mandayam
- 2005
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Citation Context ...hannel vectors but the results can be easily translated to a setting where analog feedback is used since digital quantization is simply used as a way to quantify the variance of the CSIT errors [31], =-=[32]-=-. Furthermore, only CSI requirements at the TXs are investigated, and different scenarios can be envisaged for the sharing of the channel estimates (e.g., direct broadcasting from the RXs to all the T... |

16 | Degrees of freedom of the network MIMO channel with distributed CSI,”
- Kerret, Gesbert
- 2012
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Citation Context ... to become infinitely large. Indeed, omitting to use such a parameterization and letting the SNR become large makes the pathloss differences (i.e., the network geometry) negligible. In previous works =-=[24]-=-, [25], the DoF and the rate offset have been considered in a distributed CSI setting, where all the wireless links between a TX and a RX have the same pathloss. The focus of [24] is on the derivation... |

13 | Joint scheduling and dynamic clustering in downlink cellular networks,” in - Gong, Zhou, et al. - 2011 |

13 | Team decision for the cooperative MIMO channel with imperfect CSIT sharing
- Zakhour, Gesbert
- 2010
(Show Context)
Citation Context ...tributively at the TXs with each TX relying solely on its own estimate of the channel matrix in order to compute its transmit coefficient, without any exchange of information with the other TXs [24], =-=[27]-=-. To model the imperfect CSI at the TX (CSIT), the channel estimate at each TX is assumed to be obtained from a limited rate digital feedback scheme. Consequently, we introduce the following definitio... |

9 | The value of dynamic clustering of base stations for future wireless networks - Papadogiannis, Alexandropoulos - 2010 |

9 | Decentralized precoding for multicell MIMO downlink - Ho, Quek, et al. - 2011 |

8 |
On the Generalized Degrees of Freedom of the Gaussian Interference Relay Channel
- Chaaban, Sezgin
- 2012
(Show Context)
Citation Context ...that the pathloss of the interfering links is parameterized as some function of the SNR. This parameterization allows to model the network geometry and leads to analyze the generalized DoF as in [17]–=-=[23]-=-. This modeling of the pathloss as a function of the SNR is essential to model the effect of the network geometry in a DoF analysis where the SNR is assumed to become infinitely large. Indeed, omittin... |

6 | Two-stage channel feedback for beamforming and scheduling in network MIMO systems
- Khoshnevis, Yu
- 2012
(Show Context)
Citation Context ...the optimization of the feedback allocation in the case where the user’s data symbols are not shared between the TXs (i.e., coordinated beamforming) yields a completely different problem setting [10]–=-=[16]-=-. SUBMITTED TO TRANSACTIONS ON INFORMATION THEORY 3 The question that we state is whether it is possible to overcome the fundamental limitations of clustering by optimizing directly the spatial alloca... |

5 | Information exchange limits in cooperative MIMO networks - Tajer, Wang - 2011 |

4 |
Linear Precoding Bounds for Wyner-Type Cellular Network with Limited Base-Station Cooperation
- Bergel, Yellin, et al.
- 2012
(Show Context)
Citation Context ...nsequently, the cooperation is usually limited to small cooperation clusters inside which the TXs cooperate. The optimal way of forming these clusters has recently become an active research topic [3]–=-=[7]-=-. Still, clustering leads to some fundamental limitations. Firstly, there is inevitably inter-cluster interference on the boundaries of the cluster and secondly, it requires the obtaining at all the T... |

4 |
Fundamental limits of cooperation,” Information Theory
- Lozano, Heath, et al.
- 2013
(Show Context)
Citation Context ... with the number of TXs inside the cluster. Several works have focused on determining the optimal size of the clusters when taking into account the cost of estimating the channel elements, e.g., [8], =-=[9]-=-. They suggest that TX cooperation cannot efficiently manage interference, even if the backhaul links are strong enough to form large clusters. The main message behind [9] is that pilot-based channel ... |

4 | Ruyet, “Adaptive limited feedback for intercell interference cancelation in cooperative downlink multicell networks - Ozbek, Le - 2010 |

4 | Csi sharing strategies for transmitter cooperation in wireless networks. arXiv preprint arXiv:1302.3166
- Kerret, Gesbert
- 2013
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Citation Context ...the TXs are investigated, and different scenarios can be envisaged for the sharing of the channel estimates (e.g., direct broadcasting from the RXs to all the TXs, sharing through a backhaul, . . . ) =-=[33]-=-. C. Distributed precoding Based on its individual CSIT, each TX designs its transmit coefficients. We focus here on the CSI dissemination problem under a conventional precoding framework. Hence, we a... |

3 | A 0-1 program to form minimum cost clusters in the downlink of cooperating base stations - Giovanidis, Krolikowski, et al. - 2012 |

3 | Single-cell vs. multicell MIMO downlink signalling strategies with imperfect CSI - Saleh, Blostein - 2010 |

3 |
Rate loss analysis of transmitter cooperation with distributed CSIT,” 2013, extended version. Available from arvix.org
- Kerret, Hoydis, et al.
(Show Context)
Citation Context ...come infinitely large. Indeed, omitting to use such a parameterization and letting the SNR become large makes the pathloss differences (i.e., the network geometry) negligible. In previous works [24], =-=[25]-=-, the DoF and the rate offset have been considered in a distributed CSI setting, where all the wireless links between a TX and a RX have the same pathloss. The focus of [24] is on the derivation of ro... |

3 |
Decay rates for Inverses of Band Matrices,” GauthiersVillars, Annales de l’I.H.P
- Jaffard
- 1990
(Show Context)
Citation Context ... not impact the design of precoding coefficients for each other. This can be related to the the space of infinite (either polynomially or exponentially) decaying matrices being closed under inversion =-=[35]-=-, [36]. Remark 6. The result easily extends to the case of multiple TX/RX pairs located at the same position. This models then a TX with multiple-antennas serving multiple single-antenna RXs. B. Scali... |

2 | CSI feedback allocation in multicell MIMO channels
- Kerret, Gesbert
(Show Context)
Citation Context ...so that finally global interference management is possible with only local cooperation. 1This work has been performed under the Celtic-Plus project SHARING. Preliminary results have been published in =-=[1]-=-. ar X iv :1 30 2. 53 76 v2s[ cs .IT ]s17sSe p 2 01 3 SUBMITTED TO TRANSACTIONS ON INFORMATION THEORY 2 I. INTRODUCTION Network (or Multicell) MIMO methods, whereby multiple interfering transmitters (... |

2 | Inner bound on the GDOF of the K-user MIMO Gaussian symmetric interference channel - Mohapatra, Murthy - 2012 |

2 |
Lecture on image and video compression (EE398A). [Online]. Available: http: //www.stanford.edu/class/ee398a/handouts/lectures/05-Quantization.pdf
- Girod
- 2013
(Show Context)
Citation Context ...ntizing a standard Gaussian source using B bits is equal to 2−B [28, Theorem 13.3.3] while this distortion value is also achieved up to a multiplicative constant using for example the Lloyd algorithm =-=[29]-=- or even scalar quantization. Thus, the decay in 2−B as the number of quantizations bits increases, represents a reasonable model. Furthermore, only the asymptotic behavior exponentially in the SNR is... |