### Citations

478 |
A new achievable rate region for the interference channel
- Han, Kobayashi
- 1981
(Show Context)
Citation Context ...nge. Therefore, with c (G′) 1 = Cs, the convex combination operation can not improve upon c (G′) 1 . The more interesting cases are those when c (S) 1 > c(G′ ) 1 . One example is the moderate IFC [4] =-=[2]-=-, where FDM outperforms G ′ in terms of sum rate. Clearly, since F ⊆ S, we have c (S) 1 > c(G′ ) 1 . Summarizing, the general conditions for c (S) 1 > c(G′ ) 1 for a given IFC is that, c (G′ ) 1 is no... |

238 |
The capacity of the Gaussian interference channel under strong interference
- Sato
- 1981
(Show Context)
Citation Context ...sian noise of user i with power constraints E(x2 i ) ≤ Pi and noise variances E(n2 i ) = 1, i = 1,2. For the Gaussian IFC, the capacity region is only known for the very strong interference case [6], =-=[7]-=- (a ≥ P1 + 1 and b ≥ P2 + 1) and the strong interference case [2], [7] (1 ≤ a < 1 + P1 and 1 ≤ b < 1 + P2). While the capacity region for the general Gaussian IFC remains an open problem, various atte... |

228 | Two-way communication channels
- Shannon
- 1961
(Show Context)
Citation Context ...evable region to strictly extend G ′ . Index terms — Gaussian interference channel, achievable rate region, sum capacity. I. INTRODUCTION The study of interference channel (IFC) can be traced back to =-=[5]-=-; its capacity region for the general case, however, remains unknown to this date. A two-user discrete memoryless interference channel is defined by (X n 1 × X n 2 ,pn (y 1y2|x1x2), Y n 1 × Yn 2 ), wh... |

210 |
Multi-way communication channels
- Ahlswede
- 1971
(Show Context)
Citation Context ...P1 and 1 ≤ b < 1 + P2). While the capacity region for the general Gaussian IFC remains an open problem, various attempts have been made to find reasonably tight achievable rate regions [2], [4], [5], =-=[8]-=-, [9]. Carleial’s work in 1978 [4] was the first to use the superposition coding idea, proposed originally by Cover for studying the broadcast channels [10], to obtain an inner bound on the capacity r... |

144 | Interference channels - Carleial - 1978 |

117 |
The capacity region of a channel with two senders and two receivers
- Ahlswede
- 1974
(Show Context)
Citation Context ...d 1 ≤ b < 1 + P2). While the capacity region for the general Gaussian IFC remains an open problem, various attempts have been made to find reasonably tight achievable rate regions [2], [4], [5], [8], =-=[9]-=-. Carleial’s work in 1978 [4] was the first to use the superposition coding idea, proposed originally by Cover for studying the broadcast channels [10], to obtain an inner bound on the capacity region... |

106 |
On achievable rate regions for the Gaussian interference channel,”
- Sason
- 2004
(Show Context)
Citation Context ... modified frequency division multiplexing idea [1] and a special case of Han and Kobayashi’s rate region (denoted by G ′ in [2]). We show that the new inner bound includes G ′ , Sason’s rate region D =-=[3]-=-, as well as the achievable region via TDM/FDM [4], as its subsets. The advantage of this improved inner bound over G ′ arises due to its inherent ability to utilize the whole transmit power range on ... |

99 |
A case where interference does not reduce capacity
- Carleial
- 1975
(Show Context)
Citation Context ... Gaussian noise of user i with power constraints E(x2 i ) ≤ Pi and noise variances E(n2 i ) = 1, i = 1,2. For the Gaussian IFC, the capacity region is only known for the very strong interference case =-=[6]-=-, [7] (a ≥ P1 + 1 and b ≥ P2 + 1) and the strong interference case [2], [7] (1 ≤ a < 1 + P1 and 1 ≤ b < 1 + P2). While the capacity region for the general Gaussian IFC remains an open problem, various... |

55 |
An achievable rate region for the broadcast channel
- Cover
- 1975
(Show Context)
Citation Context ...tight achievable rate regions [2], [4], [5], [8], [9]. Carleial’s work in 1978 [4] was the first to use the superposition coding idea, proposed originally by Cover for studying the broadcast channels =-=[10]-=-, to obtain an inner bound on the capacity region. This was later generalized by Han and Kobayashi [2] where a joint decoder was used instead of the sequential decoder in Carleial’s original work [4] ... |

37 |
Ton degraded Gaussian two-user channels”,
- Sato
- 1978
(Show Context)
Citation Context ... Shang, Biao Chen Abstract arXiv:cs/0610115v1 [cs.IT] 19 Oct 2006 An achievable rate region for the Gaussian interference channel is derived using Sato’s modified frequency division multiplexing idea =-=[1]-=- and a special case of Han and Kobayashi’s rate region (denoted by G ′ in [2]). We show that the new inner bound includes G ′ , Sason’s rate region D [3], as well as the achievable region via TDM/FDM ... |