### Abstract

It is known that the capacity of parallel (e.g., multicarrier) Gaussian point-to-point, multiple access and broadcast channels (without common messages) can be achieved by separate encoding for each subchannel (carrier) subject to a power allocation across carriers. Recent results have shown that parallel interference channels are not separable, i.e., joint coding is needed to achieve capacity in general. This work studies the separability, from a sum-capacity perspective, of single hop Gaussian interference networks with independent messages and arbitrary number of transmitters and receivers. The main result is that the only network that is always (for all values of channel coefficients) separable from a sum-capacity perspective is the MAC-Z-BC network, i.e., a network where a MAC component and a BC component are linked by a Z component. The sum capacity of this network is explicitly characterized.

Original language | English (US) |
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Title of host publication | 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings |

Pages | 2318-2322 |

Number of pages | 5 |

DOIs | |

State | Published - Aug 23 2010 |

Event | 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Austin, TX, United States Duration: Jun 13 2010 → Jun 18 2010 |

### Publication series

Name | IEEE International Symposium on Information Theory - Proceedings |
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ISSN (Print) | 2157-8103 |

### Other

Other | 2010 IEEE International Symposium on Information Theory, ISIT 2010 |
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Country | United States |

City | Austin, TX |

Period | 6/13/10 → 6/18/10 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Information Systems
- Modeling and Simulation
- Applied Mathematics

### Cite this

*2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings*(pp. 2318-2322). [5513660] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2010.5513660

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*2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings.*, 5513660, IEEE International Symposium on Information Theory - Proceedings, pp. 2318-2322, 2010 IEEE International Symposium on Information Theory, ISIT 2010, Austin, TX, United States, 6/13/10. https://doi.org/10.1109/ISIT.2010.5513660

**Sum-capacity and the unique separability of the parallel Gaussian MAC-Z-BC network.** / Cadambe, Viveck Ramesh; Jafar, Syed A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Sum-capacity and the unique separability of the parallel Gaussian MAC-Z-BC network

AU - Cadambe, Viveck Ramesh

AU - Jafar, Syed A.

PY - 2010/8/23

Y1 - 2010/8/23

N2 - It is known that the capacity of parallel (e.g., multicarrier) Gaussian point-to-point, multiple access and broadcast channels (without common messages) can be achieved by separate encoding for each subchannel (carrier) subject to a power allocation across carriers. Recent results have shown that parallel interference channels are not separable, i.e., joint coding is needed to achieve capacity in general. This work studies the separability, from a sum-capacity perspective, of single hop Gaussian interference networks with independent messages and arbitrary number of transmitters and receivers. The main result is that the only network that is always (for all values of channel coefficients) separable from a sum-capacity perspective is the MAC-Z-BC network, i.e., a network where a MAC component and a BC component are linked by a Z component. The sum capacity of this network is explicitly characterized.

AB - It is known that the capacity of parallel (e.g., multicarrier) Gaussian point-to-point, multiple access and broadcast channels (without common messages) can be achieved by separate encoding for each subchannel (carrier) subject to a power allocation across carriers. Recent results have shown that parallel interference channels are not separable, i.e., joint coding is needed to achieve capacity in general. This work studies the separability, from a sum-capacity perspective, of single hop Gaussian interference networks with independent messages and arbitrary number of transmitters and receivers. The main result is that the only network that is always (for all values of channel coefficients) separable from a sum-capacity perspective is the MAC-Z-BC network, i.e., a network where a MAC component and a BC component are linked by a Z component. The sum capacity of this network is explicitly characterized.

UR - http://www.scopus.com/inward/record.url?scp=77955673436&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955673436&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2010.5513660

DO - 10.1109/ISIT.2010.5513660

M3 - Conference contribution

AN - SCOPUS:77955673436

SN - 9781424469604

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 2318

EP - 2322

BT - 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings

ER -