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## On the capacity of the K-user cyclic Gaussian interference channel (2013)

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Venue: | IEEE Trans. Inform. Theory |

Citations: | 13 - 0 self |

### Citations

473 |
A new achievable rate region for the interference channel
- Han, Kobayashi
- 1981
(Show Context)
Citation Context ...annel, however, has not been completely characterized, even for the two-user Gaussian case. The largest achievable rate region for the two-user interference channel is due to a Han-Kobayashi strategy =-=[1]-=-, where each transmitter splits its transmit signal into a common and a private part. The achievable rate region is the convex hull of the union of achievable rates where each receiver decodes the com... |

444 | Gaussian Interference Channel Capacity to Within One Bit
- Etkin, Tse, et al.
- 2008
(Show Context)
Citation Context ... region [1], [3], [4], and in a noisy interference regime where transmission with private information only is shown to be sum-capacity achieving [5]–[7]. In a recent breakthrough, Etkin, Tse and Wang =-=[8]-=- showed that the Han-Kobayashi scheme can in fact achieve to within one bit of the capacity region for the two-user Gaussian interference channel for all channel parameters. Their key insight was that... |

238 |
The capacity of the Gaussian interference channel under strong interference
- Sato
- 1981
(Show Context)
Citation Context ...an interference channel is still an open problem in general, except in the strong interference regime where transmission with common information only is shown to achieve the capacity region [1], [3], =-=[4]-=-, and in a noisy interference regime where transmission with private information only is shown to be sum-capacity achieving [5]–[7]. In a recent breakthrough, Etkin, Tse and Wang [8] showed that the H... |

208 |
Shannon-theoretic approach to a Gaussian cellular multiple-access channel
- Wyner
- 1994
(Show Context)
Citation Context ...found in [15]. The cyclic interference channel model is motivated by the so-called modified Wyner model, which describes the soft handoff scenario of a cellular network [16]. The original Wyner model =-=[17]-=- assumes that all cells are arranged in a linear array with the base-stations located at the center of each cell, and where intercell interference comes from only the two adjacent cells. In the modifi... |

205 |
Interference alignment and the degrees of freedom for the k user interference channel
- Cadambe, Jafar
(Show Context)
Citation Context ...trary subset of receivers, thus making the optimization of the resulting rate region difficult. Further, superposition coding itself may not be adequate. Interference alignment types of coding scheme =-=[9]-=- has been shown to be able to enlarge the achievable rate region and to achieve to within constant gap of many-to-one and one-to-many interference channels [10]. In the context of K-user Gaussian inte... |

159 | A new outer bound and the noisy-interference sum-rate capacity for Gaussian interference channels
- Shang, Kramer, et al.
- 2009
(Show Context)
Citation Context ...n information only is shown to achieve the capacity region [1], [3], [4], and in a noisy interference regime where transmission with private information only is shown to be sum-capacity achieving [5]–=-=[7]-=-. In a recent breakthrough, Etkin, Tse and Wang [8] showed that the Han-Kobayashi scheme can in fact achieve to within one bit of the capacity region for the two-user Gaussian interference channel for... |

154 | Capacity bounds for the Gaussian interference channel - Motahari, Khandani - 2009 |

134 | The approximate capacity of the many-to-one and one-to-many Gaussian interference channels
- Bresler, Parekh, et al.
- 2010
(Show Context)
Citation Context ...ference alignment types of coding scheme [9] has been shown to be able to enlarge the achievable rate region and to achieve to within constant gap of many-to-one and one-to-many interference channels =-=[10]-=-. In the context of K-user Gaussian interference channels, sum-capacity results are available in the noisy interference regime [5], [11]. Annapureddy et al. [5] obtained the sum capacity for the symme... |

131 | Gaussian interference networks: Sum capacity in the low interference regime and new outer bounds on the capacity region
- Annapureddy, Veeravalli
- 2009
(Show Context)
Citation Context ...ommon information only is shown to achieve the capacity region [1], [3], [4], and in a noisy interference regime where transmission with private information only is shown to be sum-capacity achieving =-=[5]-=-–[7]. In a recent breakthrough, Etkin, Tse and Wang [8] showed that the Han-Kobayashi scheme can in fact achieve to within one bit of the capacity region for the two-user Gaussian interference channel... |

123 |
Carleial, “Interference channels
- B
- 1978
(Show Context)
Citation Context ...aussian interference channel is still an open problem in general, except in the strong interference regime where transmission with common information only is shown to achieve the capacity region [1], =-=[3]-=-, [4], and in a noisy interference regime where transmission with private information only is shown to be sum-capacity achieving [5]–[7]. In a recent breakthrough, Etkin, Tse and Wang [8] showed that ... |

96 | On the Han-Kobayashi region for interference channel
- Chong, Motani, et al.
- 2008
(Show Context)
Citation Context ... region is the convex hull of the union of achievable rates where each receiver decodes the common messages from both transmitters plus the private message intended for itself. Recently, Chong et al. =-=[2]-=- obtained an equivalent achievable rate region but in a simpler form by applying the Fourier-Motzkin algorithm together with a time-sharing technique to the Han and Kobayashi’s original rate region. T... |

69 | Sum rate characterization of joint multiple cell-site processing
- Somekh, Zaidel, et al.
- 2007
(Show Context)
Citation Context ...esults. Detailed proofs can be found in [15]. The cyclic interference channel model is motivated by the so-called modified Wyner model, which describes the soft handoff scenario of a cellular network =-=[16]-=-. The original Wyner model [17] assumes that all cells are arranged in a linear array with the base-stations located at the center of each cell, and where intercell interference comes from only the tw... |

64 | Multicell downlink capacity with coordinated processing
- Jing, Tse, et al.
- 2008
(Show Context)
Citation Context ...ation to its right (or left), one arrives at the K-user cyclic Gaussian interference channel studied in this paper. The modified Wyner model has been extensively studied in the literature [16], [18], =-=[19]-=-, but often either with interference treated as noise or with the assumption of full base station cooperation. This paper studies the modified Wyner model without base station cooperation, in which ca... |

51 |
Generalized Degrees of Freedom of the Symmetric Gaussian K User Interference Channel
- Jafar
- 2010
(Show Context)
Citation Context ...k to satisfy a certain criterion. In addition, much work has also been carried out on the generalized degrees of freedom (as defined in [8]) of the K-user interference channel and its variations [9], =-=[12]-=-, [13]. Instead of treating the general K-user interference channel, this paper focuses on a cyclic Gaussian interference channel model, where the kth user interferes with only the (k − 1)th user. In ... |

18 | New outer bounds on the capacity region of Gaussian interference channels
- Shang, Kramer, et al.
- 2008
(Show Context)
Citation Context ...nstant gap of many-to-one and one-to-many interference channels [10]. In the context of K-user Gaussian interference channels, sum-capacity results are available in the noisy interference regime [5], =-=[11]-=-. Annapureddy et al. [5] obtained the sum capacity for the symmetric three-user Gaussian interference channel, the one-to-many and the many-to-one Gaussian interference channels under the noisy interf... |

17 |
Symmetric rate capacity of cellular systems with cooperative base stations
- Liang, Goldsmith
- 2006
(Show Context)
Citation Context ...ase-station to its right (or left), one arrives at the K-user cyclic Gaussian interference channel studied in this paper. The modified Wyner model has been extensively studied in the literature [16], =-=[18]-=-, [19], but often either with interference treated as noise or with the assumption of full base station cooperation. This paper studies the modified Wyner model without base station cooperation, in wh... |

16 | A further consideration on the HK and the CMG regions for the interference channel
- Kobayashi, Han
- 2007
(Show Context)
Citation Context ...-user cyclic interference channel. Proof: The achievable rate region can be proved by the Fourier-Motzkin algorithm together with an induction step. The proof follows the Kobayashi and Han’s strategy =-=[20]-=- of eliminating a common message at each step. Details are available in [15]. In the above achievable rate region, (6) is the constraint on the achievable rate of an individual user, (7) is the constr... |

12 | Interference Alignment and a Noisy Interference Regime for Many-to-One Interference Channels,” 2009. [Online]. Available: http://arxiv.org/abs/0912.3029
- Cadambe, Jafar
(Show Context)
Citation Context ...atisfy a certain criterion. In addition, much work has also been carried out on the generalized degrees of freedom (as defined in [8]) of the K-user interference channel and its variations [9], [12], =-=[13]-=-. Instead of treating the general K-user interference channel, this paper focuses on a cyclic Gaussian interference channel model, where the kth user interferes with only the (k − 1)th user. In this c... |

5 | On the symmetric capacity of the k-user symmetric cyclic Gaussian interference channel
- Zhou, Yu
- 2010
(Show Context)
Citation Context ...her transmitter, thereby avoiding the difficulties mentioned earlier. For the K-user cyclic interference channel, the Etkin, Tse and Wang’s coding strategy remains a natural one. In our previous work =-=[14]-=-, we showed that such a strategy achieves the sum capacity for a symmetric channel to within. . . . Cell Cell Cell Fig. 1. The circular array handoff model two bits. The main objective of this paper ... |

1 |
the capacity of the K-user cyclic Gaussian interference channel,” Submitted to
- “On
- 2010
(Show Context)
Citation Context ...within two bits of the capacity region for the general cyclic interference channel in the weak interference regime. This paper contains an outline of the main results. Detailed proofs can be found in =-=[15]-=-. The cyclic interference channel model is motivated by the so-called modified Wyner model, which describes the soft handoff scenario of a cellular network [16]. The original Wyner model [17] assumes ... |