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## Approximate Ergodic Capacity of a Class of Fading 2-user 2-hop Networks (2012)

Citations: | 5 - 2 self |

### Citations

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Citation Context ... as m increases. A. Proof of Theorem 2 From (3), we have Csum ≤ RMIMO ≤ 2log(1+2PK) (5) where the second inequality follows from Jensen’s inequality and the fact that log det(·) is a concave function =-=[16]-=-. Also, RIN (a) =2E{θ1,··· ,θK} ( (b) ≥ 2log 1+ − 2δK ( ⎡ ⎛ ⎢ ⎜ ⎣log ⎝1+ 16 π2 P 2K 2 1+P (2K +2) P 2 ( ∑K √ k=1 2 − 2cosθk ) P 2 4 , , 2 1+P (2K +2) π ) , 1+P (2K +2) ) 2 ⎞⎤ ⎟⎥ ⎠⎦ where θk = θ2k−1,1 ... |

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447 | Gaussian interference channel capacity to within one bit
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Citation Context ...nt years, there has been significant progress towards understanding fundamentals of multi-source single-hop networks. Approximate capacity results have been proved for the 2-user interference channel =-=[1]-=-, many-to-one or one-tomany interference channel [2], and two-way channel [3], which characterize the capacity within a constant number of bits/sec/Hz independent of signal-to-noise ratio (SNR) and ch... |

438 | Eigenvalues and Condition Numbers of Random Matrices - Edelman - 1988 |

427 | Interference alignment and degrees of freedom of the K-user interference channel
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Citation Context ...nel [2], and two-way channel [3], which characterize the capacity within a constant number of bits/sec/Hz independent of signal-to-noise ratio (SNR) and channel parameters. It has also been proved in =-=[4]-=- that interference alignment can achieve the optimal degrees of freedom (DoF) of the time-varying K-user interference channel. The recently proposed ergodic interference aliment in [5] makes interfere... |

291 | Wireless network information flow: A deterministic approach - Avestimehr, Diggavi, et al. - 2011 |

212 |
Spectral efficient protocols for half-duplex fading relay channels
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Citation Context ...ultiple paths through the network, a technique termed as interference neutralization. Proper use of such interference neutralization is the key for an approximate capacity [6] or DoF characterization =-=[7]-=-–[11] of multi-source multi-hop networks. In spite of recent progress in this area, the best known capacity characterization for fully connected 2-user 2-hop networks is within o(log(SNR)) bits/sec/Hz... |

210 | Communication over MIMO X channels: Interference alignment, decomposition, and performance analysis - Maddah-Ali, Motahari, et al. - 2008 |

133 | The approximate capacity of the many-to-one and one-to-many Gaussian interference channels
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Citation Context ...s understanding fundamentals of multi-source single-hop networks. Approximate capacity results have been proved for the 2-user interference channel [1], many-to-one or one-tomany interference channel =-=[2]-=-, and two-way channel [3], which characterize the capacity within a constant number of bits/sec/Hz independent of signal-to-noise ratio (SNR) and channel parameters. It has also been proved in [4] tha... |

128 | Noisy network coding - Lim, Kim, et al. - 2011 |

96 | Capacity of the Gaussian twoway relay channel to within 1/2 bit
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(Show Context)
Citation Context ...als of multi-source single-hop networks. Approximate capacity results have been proved for the 2-user interference channel [1], many-to-one or one-tomany interference channel [2], and two-way channel =-=[3]-=-, which characterize the capacity within a constant number of bits/sec/Hz independent of signal-to-noise ratio (SNR) and channel parameters. It has also been proved in [4] that interference alignment ... |

94 | Ergodic interference alignment
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(Show Context)
Citation Context ... been proved in [4] that interference alignment can achieve the optimal degrees of freedom (DoF) of the time-varying K-user interference channel. The recently proposed ergodic interference aliment in =-=[5]-=- makes interference aligned at finite SNR. For multi-source multi-hop networks, interference can be cancelled by aligning multiple paths through the network, a technique termed as interference neutral... |

88 | Real interference alignment: Exploiting the potential of single antenna systems - Motahari, Gharan, et al. |

77 | Interference alignment for cellular networks - Suh, Tse - 2008 |

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52 | Aligned interference neutralization and the degrees of freedom of the 2x2x2 interference channel,” Arxiv Preprint
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Citation Context ...[11] of multi-source multi-hop networks. In spite of recent progress in this area, the best known capacity characterization for fully connected 2-user 2-hop networks is within o(log(SNR)) bits/sec/Hz =-=[8]-=-, which can be arbitrarily large as SNR increases. The aim of this paper is to close the capacity gap of the 2user 2-hop networks within a constant number of bits/sec/Hz, independent of SNR and the nu... |

46 | interference alignment with real numbers - Motahari, Gharan, et al. - 2009 |

44 | Degrees of freedom of wireless networks with relays, feedback, cooperation, and full duplex operation - Cadambe, Jafar - 2009 |

33 | Degrees of freedom of the K user - Gou, Jafar - 2010 |

32 | Two-unicast wireless networks: Characterizing the degrees-of-freedom,” Submitted to
- Shomorony, Avestimehr
- 2011
(Show Context)
Citation Context ...ple paths through the network, a technique termed as interference neutralization. Proper use of such interference neutralization is the key for an approximate capacity [6] or DoF characterization [7]–=-=[11]-=- of multi-source multi-hop networks. In spite of recent progress in this area, the best known capacity characterization for fully connected 2-user 2-hop networks is within o(log(SNR)) bits/sec/Hz [8],... |

18 |
Degrees of freedom region of a class of multisource Gaussian relay networks
- Jeon, Chung, et al.
- 2011
(Show Context)
Citation Context ...se the capacity gap of the 2user 2-hop networks within a constant number of bits/sec/Hz, independent of SNR and the number of relays. Our achievability is based on ergodic interference neutralization =-=[9]-=-, [12], † He is also with the Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA. W1 W2 S1 S2 x1[t] x2[t] H[t] zR,1[t] zR,2[t] yR,1[t] yR,2[t] R1 R... |

18 | The approximate sum capacity of the symmetric Gaussian K-user interference channel - Ordentlich, Erez, et al. |

15 | Multiple Unicast Capacity of 2-source 2-sink Networks - Wang, Gou, et al. - 2011 |

15 | Degrees of freedom of interference channels with CoMP transmission and reception - Annapureddy, Gamal, et al. - 2012 |

14 | Computation alignment: Capacity approximation without noise accumulation - Niesen, Nazer, et al. |

13 | Interference alignment: From degrees-of-freedom to constant-gap capacity approximations - Niesen, Maddah-Ali - 2011 |

12 | Approximate capacity of a class of gaussian interference-relay networks
- Mohajer, Diggavi, et al.
- 2011
(Show Context)
Citation Context ...n be cancelled by aligning multiple paths through the network, a technique termed as interference neutralization. Proper use of such interference neutralization is the key for an approximate capacity =-=[6]-=- or DoF characterization [7]–[11] of multi-source multi-hop networks. In spite of recent progress in this area, the best known capacity characterization for fully connected 2-user 2-hop networks is wi... |

12 | Degrees of freedom region for an interference network with general message demands - Ke, Ramamoorthy, et al. - 2012 |

12 | Capacity of a Class of Multi-Source Relay Networks - Jeon, Chung - 2009 |

8 | The ergodic capacity of phase-fading interference networks - Jafar - 2011 |

6 |
Optimizing zero-forcing based gain allocation for wireless multiuser networks
- Esli, Berger, et al.
- 2007
(Show Context)
Citation Context ...with L ≥ 3 interference neutralization can be achieved without channel pairing. However, maximizing the achievable sum rate exploiting interference neutralization without channel pairing presented in =-=[15]-=- is non-convex and, as a result, it is unclear how to determine the sum rate gap from the cut-set upper bound. By contrast, we now show that our achievable rate expression from Theorem 1 permits to de... |

1 |
Approximate ergodic capacity of a class of fading 2
- Jeon, Wang, et al.
- 2012
(Show Context)
Citation Context ...e capacity gap of the 2user 2-hop networks within a constant number of bits/sec/Hz, independent of SNR and the number of relays. Our achievability is based on ergodic interference neutralization [9], =-=[12]-=-, † He is also with the Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA. W1 W2 S1 S2 x1[t] x2[t] H[t] zR,1[t] zR,2[t] yR,1[t] yR,2[t] R1 R2 xR,1... |