#### DMCA

## Retrospective interference alignment

Venue: | in Information Theory, 2011. ISIT 2011. IEEE International Symposium on, 2011 |

Citations: | 39 - 14 self |

### Citations

589 |
On the achievable throughput of a multiantenna gaussian broadcast channel
- Caire, Shamai
- 2003
(Show Context)
Citation Context ...e degrees of freedom (DoF) – and thereby exploring the potential for interference alignment – in wireless networks in the absence of instantaneous channel state information at the transmitters (CSIT) =-=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]-=-. On the one hand, there are pessmistic results that include [1, 2, 3, 4, 8, 9, 10, 11] where the DoF are found to collapse due to the inability of the transmitters to resolve spatial dimensions. On t... |

212 | Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis
- Maddah-Ali, Motahari, et al.
- 2009
(Show Context)
Citation Context ...ore noise in this analysis, what are the conditions for desired signals to be recovered in the presence of interference, a literature survey of earlier works on interference alignment and DoF such as =-=[18, 19, 20, 21]-=- is recommended. Theorem 1 The 2 user X channel with delayed CSIT, can achieve DoF = 87 almost surely. Figure 4: X Channel Proof: We wish to show that 87 DoF are achievable on the X channel with delay... |

208 |
Interference alignment, and the degrees of freedom of the K user interference channel
- Cadambe, Jafar
- 2009
(Show Context)
Citation Context ...ore noise in this analysis, what are the conditions for desired signals to be recovered in the presence of interference, a literature survey of earlier works on interference alignment and DoF such as =-=[18, 19, 20, 21]-=- is recommended. Theorem 1 The 2 user X channel with delayed CSIT, can achieve DoF = 87 almost surely. Figure 4: X Channel Proof: We wish to show that 87 DoF are achievable on the X channel with delay... |

155 | MIMO broadcast channels with finite rate feedback,”
- Jindal
- 2006
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Citation Context ...en as essentially noiseless, infinite capacity feedback links. It is also clear that the benefits of feedback will be retained if the accuracy of feedback information is scaled appropriately with SNR =-=[15, 16]-=-. An interesting question to make further progress in this direction would be to explore how a delayed feedback link whose capacity is itself limited in DoF becomes a bottleneck on the forward channel... |

92 | Degrees of freedom region of the MIMO X channel
- Jafar, S
- 2008
(Show Context)
Citation Context ...ore noise in this analysis, what are the conditions for desired signals to be recovered in the presence of interference, a literature survey of earlier works on interference alignment and DoF such as =-=[18, 19, 20, 21]-=- is recommended. Theorem 1 The 2 user X channel with delayed CSIT, can achieve DoF = 87 almost surely. Figure 4: X Channel Proof: We wish to show that 87 DoF are achievable on the X channel with delay... |

66 | Isotropic fading vector broadcast channels: The scalar upper bound and loss in degrees of freedom,”
- Jafar, Goldsmith
- 2005
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Citation Context ...e have three equations in the remaining 4 variables (Note that the following quantities – without overbar notation – refer to only the first three channel uses). Y[1] −H[11]V[11]1 s[1]1 −H[12]V[12]1 s=-=[2]-=-1 −H[11]V[21]1 s[1]2 −H[12]V[22]1 s[2]2 = H[11]V[11]1 γ [1] 1 u [11] 2 +H [11]V[11]2 u [11] 2 +H [12]V[12]1 γ [2] 1 u [12] 2 +H [12]V[12]2 u [12] 2 H[11]V[21]1 γ [1] 2 u [21] 2 +H [11]V[21]2 u [21] 2 ... |

57 | On the capacity of fading MIMO broadcast channels with imperfect transmitter side-information. - Lapidoth, Shamai, et al. - 2005 |

56 |
On degrees of freedom region of MIMO networks without channel state information at transmitters,”
- Huang, Jafar, et al.
- 2012
(Show Context)
Citation Context ...e degrees of freedom (DoF) – and thereby exploring the potential for interference alignment – in wireless networks in the absence of instantaneous channel state information at the transmitters (CSIT) =-=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]-=-. On the one hand, there are pessmistic results that include [1, 2, 3, 4, 8, 9, 10, 11] where the DoF are found to collapse due to the inability of the transmitters to resolve spatial dimensions. On t... |

50 | On the compound MIMO broadcast channel,”
- Weingarten, Shama, et al.
- 2007
(Show Context)
Citation Context ...e degrees of freedom (DoF) – and thereby exploring the potential for interference alignment – in wireless networks in the absence of instantaneous channel state information at the transmitters (CSIT) =-=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]-=-. On the one hand, there are pessmistic results that include [1, 2, 3, 4, 8, 9, 10, 11] where the DoF are found to collapse due to the inability of the transmitters to resolve spatial dimensions. On t... |

48 | Aiming perfectly in the dark-blind interference alignment through staggered antenna switching
- Gou, Wang, et al.
- 2011
(Show Context)
Citation Context ...nt, consider the signal seen by Receiver 1 (ignoring noise as usual). Y[1] = H[11] [ V[1]1 V [1] 2 V [1] 3 ] u [1] 1 u [1] 2 u [1] 3 +H[12] [V[2]1 V[2]2 V[2]3 ] u [2] 1 u [2] 2 u [2] 3 +H=-=[13]-=- [V[3]1 V[3]2 V[3]3 ] u [3] 1 u [3] 2 u [3] 3 Here V[k]i are the 5× 1 precoding vectors, Y[k] is the 5× 1 vector of received signals so far, H[kj] is the 5× 5 diagonal channel matrix represent... |

44 |
Degrees of freedom of wireless networks with relays, feedback, cooperation and full duplex operation
- Cadambe, Jafar
- 2009
(Show Context)
Citation Context ...e symbols available at each transmitter. Let us define our new variables: s [1] 1 = u [11] 1 − γ[1]1 u[11]2 (6) s [2] 1 = u [12] 1 − γ[2]1 u[12]2 (7) s [1] 2 = u [21] 1 − γ[1]2 u[21]2 (8) s [2] 2 = u =-=[22]-=- 1 − γ[2]2 u[22]2 (9) where γ[k]i are constants whose values will be specified soon after we arrive at the rationale for choosing these values. Consistent with our causality and delayed CSIT constrain... |

37 | The degrees of freedom regions of MIMO broadcast, interference, and cognitive radio channels with no CSIT,”
- Vaze, Varanasi
- 2012
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Citation Context |

34 |
The feedback capacity of degraded broadcast channels
- Gamal
- 1978
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Citation Context ...del, by providing all the information available to Receiver 2 also to Receiver 1, thus making it a physically degraded broadcast channel for which it is known that feedback does not increase capacity =-=[17]-=-. Then, proceeding without feedback, the outer bound arguments for the compound setting in [5] can be extended to this setting, producing the same DoF outer bound of 32 . Note that an outer bound for ... |

30 | Packing spheres in the Grassmann manifold: A geometric approach to the noncoherent multi-antenna channel
- Zheng, Tse
- 2002
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23 |
On the required accuracy of transmitter channel state information in multiple antenna broadcast channels
- Caire, Jindal, et al.
- 2007
(Show Context)
Citation Context ...ecent works point out that channel state information (CSI) can be estimated in principle with sufficient accuracy (estimation error scaling as O(SNR−1)) to enable the DoF results as SNR becomes large =-=[15, 16]-=-. The main obstacle, from a practical perspective, has been the perceived necessity of delivering this CSI to the transmitter before it becomes outdated. The delayed CSIT model therefore opens a pract... |

22 | On the degrees of freedom of the compound mimo broadcast channels with finite states
- Maddah-Ali
- 2009
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22 | Exploiting channel correlations - simple interference alignment schemes with no CSIT
- Jafar
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Citation Context ...ave only 4 channel uses left, and each channel use will provide only one equation to each receiver, we will choose 4 layer-2 variables. 10 While everything so far is consistent with the approaches of =-=[12, 14]-=-, at this point our approach goes into a new direction. As mentioned earlier, because the transmitters are distributed, they do not have access to any of the equations available so far to the receiver... |

16 | much mobility limits the capacity of wireless ad hoc networks
- Jafar, “Too
- 2005
(Show Context)
Citation Context ...mes presented here is neither established nor conjectured. The 3 user interference channel, shown in Fig. 5, consists of transmitters 1,2,3, who wish to communicate independent messages W [1],W [2],W =-=[3]-=- to receivers 1,2,3 respectively. The assumptions regarding the delayed CSIT model are identical to the preceding sections, and the notation specific to the interference channel will become clear in t... |

11 |
The degrees of freedom of mimo interference channels without state information at transmitters,” Aug, 2010, preprint, available at http://arxiv.org/abs/1008.5196
- Zhu, Guo
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8 |
On the degrees of freedom of MISO broadcast channels with delayed feedback
- Maddah-Ali, Tse
- 2010
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2 | Interference alignment for finite state compound wireless networks - settling a conjecture by Weingarten, Shamai and Kramer,” Submitted to the IEEE Transactions on Information Theory. Full paper available at arXiv:0909.4203 - Gou, Jafar, et al. - 2009 |