### Abstract

The Wyner interference network is a popular model used in research on cellular networks due to its simplicity and analytical tractability. In this paper, the optimal power allocation strategies in symmetric one- and two-sided Wyner models are investigated.We determine a sufficient condition for binary power control (BPC) to be optimal that can be applied to the one-sided symmetric model. We consider binary power schemes for the symmetric two-sided Wyner network. Using a method of grouping links and performing a piecewise comparison of the group rates, we are able to determine the optimal power policy that maximizes the network sum rate. The result of the optimization can be expressed as follows for both types of networks: When the interfering channel gain √ε is small, it is optimal (in the class of binary schemes) to have all links on; otherwise, alternate links are switched off to remove interference. We characterize the critical values of ε where the transitions occur.

Language | English |
---|---|

Article number | 6867378 |

Pages | 6903-6914 |

Number of pages | 12 |

Journal | IEEE Transactions on Wireless Communications |

Volume | 13 |

Issue number | 12 |

DOIs | |

Publication status | Published - 1 Dec 2014 |

### Fingerprint

### Cite this

*IEEE Transactions on Wireless Communications*,

*13*(12), 6903-6914. [6867378]. https://doi.org/10.1109/TWC.2014.2343619

}

*IEEE Transactions on Wireless Communications*, vol. 13, no. 12, 6867378, pp. 6903-6914. https://doi.org/10.1109/TWC.2014.2343619

**Binary power allocation in symmetric Wyner-type interference networks.** / Badruddin, Nasreen; Evans, Jamie; Hanly, Stephen V.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Binary power allocation in symmetric Wyner-type interference networks

AU - Badruddin, Nasreen

AU - Evans, Jamie

AU - Hanly, Stephen V.

PY - 2014/12/1

Y1 - 2014/12/1

N2 - The Wyner interference network is a popular model used in research on cellular networks due to its simplicity and analytical tractability. In this paper, the optimal power allocation strategies in symmetric one- and two-sided Wyner models are investigated.We determine a sufficient condition for binary power control (BPC) to be optimal that can be applied to the one-sided symmetric model. We consider binary power schemes for the symmetric two-sided Wyner network. Using a method of grouping links and performing a piecewise comparison of the group rates, we are able to determine the optimal power policy that maximizes the network sum rate. The result of the optimization can be expressed as follows for both types of networks: When the interfering channel gain √ε is small, it is optimal (in the class of binary schemes) to have all links on; otherwise, alternate links are switched off to remove interference. We characterize the critical values of ε where the transitions occur.

AB - The Wyner interference network is a popular model used in research on cellular networks due to its simplicity and analytical tractability. In this paper, the optimal power allocation strategies in symmetric one- and two-sided Wyner models are investigated.We determine a sufficient condition for binary power control (BPC) to be optimal that can be applied to the one-sided symmetric model. We consider binary power schemes for the symmetric two-sided Wyner network. Using a method of grouping links and performing a piecewise comparison of the group rates, we are able to determine the optimal power policy that maximizes the network sum rate. The result of the optimization can be expressed as follows for both types of networks: When the interfering channel gain √ε is small, it is optimal (in the class of binary schemes) to have all links on; otherwise, alternate links are switched off to remove interference. We characterize the critical values of ε where the transitions occur.

UR - http://www.scopus.com/inward/record.url?scp=84919686340&partnerID=8YFLogxK

U2 - 10.1109/TWC.2014.2343619

DO - 10.1109/TWC.2014.2343619

M3 - Article

VL - 13

SP - 6903

EP - 6914

JO - IEEE Transactions on Wireless Communications

T2 - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

SN - 1536-1276

IS - 12

M1 - 6867378

ER -