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## The capacity region of a class of discrete degraded interference channels (2006)

Venue: | In 44th Annual Allerton Conference on Communications, Control and Computing |

Citations: | 27 - 8 self |

### Citations

562 | Broadcast channels
- Cover
- 1972
(Show Context)
Citation Context ...). The capacity region of the corresponding degraded broadcast channel serves as an outer bound on the capacity region of the DDIC. The capacity region of the degraded broadcast channel is known [9], =-=[11]-=-, [12], and thus, a single-letter outer bound on the capacity region of the DDIC is co [ ⋃ p(u),p(x1,x2|u) { (R1, R2) : R1 ≤ I(X1, X2; Y1|U) } R2 ≤ I(U; Y2) ] (14) where co denotes the closure of the ... |

238 |
The capacity of the Gaussian interference channel under strong interference
- Sato
- 1981
(Show Context)
Citation Context ...nding the capacity region of the IC is essentially open except in some special cases, e.g., a class of deterministic ICs [3], discrete additive degraded interference channels (DADICs) [1], strong ICs =-=[4]-=-, [5], ICs with statistically equivalent outputs [6]–[8]. In this paper, we consider a class of discrete degraded interference channels (DDICs). In a DDIC, only the “bad” receiver faces interference, ... |

228 | Two-way communication channels - Shannon - 1961 |

209 |
Multi-way communication channels
- Ahlswede
- 1973
(Show Context)
Citation Context ...except in some special cases, e.g., a class of deterministic ICs [3], discrete additive degraded interference channels (DADICs) [1], strong ICs [4], [5], ICs with statistically equivalent outputs [6]–=-=[8]-=-. In this paper, we consider a class of discrete degraded interference channels (DDICs). In a DDIC, only the “bad” receiver faces interference, while the “good” receiver has the ability to decode both... |

131 |
The capacity region of a class of deterministic interference channels
- Gamal, Costa
- 1982
(Show Context)
Citation Context ...ence, we need to find the capacity region of the IC. However, the problem of finding the capacity region of the IC is essentially open except in some special cases, e.g., a class of deterministic ICs =-=[3]-=-, discrete additive degraded interference channels (DADICs) [1], strong ICs [4], [5], ICs with statistically equivalent outputs [6]–[8]. In this paper, we consider a class of discrete degraded interfe... |

123 |
Carleial, “Interference channels
- B
- 1978
(Show Context)
Citation Context ...pen except in some special cases, e.g., a class of deterministic ICs [3], discrete additive degraded interference channels (DADICs) [1], strong ICs [4], [5], ICs with statistically equivalent outputs =-=[6]-=-–[8]. In this paper, we consider a class of discrete degraded interference channels (DDICs). In a DDIC, only the “bad” receiver faces interference, while the “good” receiver has the ability to decode ... |

122 |
Source coding with side information and a converse for degraded broadcast channels
- Ahlswede, Korner
- 1975
(Show Context)
Citation Context ...tropies are calculated according to the distribution p(u, x1, x2, y1, y2) = p(u)p(x1, x2|u)p(y1|x1, x2)p ′ (y2|y1) (17) Using condition 3, we can show that η ≤ c ≤ log |Y1|. T(c) is concave in c [1], =-=[13]-=-, and therefore, (15) can also be written as ⋃ { (R1, R2) : R1 ≤ c − η η≤c≤log |Y1| } R2 ≤ T(c) IV. AN ACHIEVABLE REGION (18) Based on [7, Theorem 4], the following region is achievable, [ ⋃ { co (R1,... |

116 |
Capacity and coding for degraded broadcast channels
- Gallager
- 1980
(Show Context)
Citation Context ... capacity region of the corresponding degraded broadcast channel serves as an outer bound on the capacity region of the DDIC. The capacity region of the degraded broadcast channel is known [9], [11], =-=[12]-=-, and thus, a single-letter outer bound on the capacity region of the DDIC is co [ ⋃ p(u),p(x1,x2|u) { (R1, R2) : R1 ≤ I(X1, X2; Y1|U) } R2 ≤ I(U; Y2) ] (14) where co denotes the closure of the convex... |

78 | Two user communication channels - Sato - 1977 |

63 |
Gamal, “The capacity region of the discrete memoryless interference channel with strong interference
- Costa, El
- 1987
(Show Context)
Citation Context ... the capacity region of the IC is essentially open except in some special cases, e.g., a class of deterministic ICs [3], discrete additive degraded interference channels (DADICs) [1], strong ICs [4], =-=[5]-=-, ICs with statistically equivalent outputs [6]–[8]. In this paper, we consider a class of discrete degraded interference channels (DDICs). In a DDIC, only the “bad” receiver faces interference, while... |

40 |
The capacity region of a class of discrete additive degraded interference channels
- Benzel
- 1979
(Show Context)
Citation Context ...the capacity region of a class of discrete degraded interference channels (DDICs). The class of DDICs considered includes the discrete additive degraded interference channel (DADIC) studied by Benzel =-=[1]-=-. We show that for the class of DDICs studied, encoder cooperation does not increase the capacity region, and therefore, the capacity region of the class of DDICs is the same as the capacity region of... |

30 | A conditional entropy bound for a pair of discrete random variables - Witsenhausen, Wyner - 1975 |

22 | Entropy inequalities for discrete channels - Witsenhausen - 1974 |