### Abstract

Original language | English |
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Title of host publication | 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013 |

Place of Publication | Piscataway, NJ, USA |

Publisher | IEEE Institute of Electrical and Electronic Engineers |

Pages | 500-507 |

ISBN (Print) | 978-1-4799-2239-0 |

Publication status | Published - 2013 |

MoE publication type | Not Eligible |

Event | 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013 - Tsukuba Science City, Japan Duration: 13 May 2013 → 17 May 2013 |

### Conference

Conference | 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013 |
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Abbreviated title | WiOpt 2013 |

Country | Japan |

City | Tsukuba Science City |

Period | 13/05/13 → 17/05/13 |

### Fingerprint

### Keywords

- encoding number
- network coding
- random networks
- wireless

### Cite this

*11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013*(pp. 500-507). Piscataway, NJ, USA: IEEE Institute of Electrical and Electronic Engineers .

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*11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013.*IEEE Institute of Electrical and Electronic Engineers , Piscataway, NJ, USA, pp. 500-507, 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013, Tsukuba Science City, Japan, 13/05/13.

**Geometrical bounds on the efficiency of wireless network coding.** / Mannersalo, Petteri; Paschos, G.S.; Gkatzikis, L.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Geometrical bounds on the efficiency of wireless network coding

AU - Mannersalo, Petteri

AU - Paschos, G.S.

AU - Gkatzikis, L.

PY - 2013

Y1 - 2013

N2 - This paper explores wireless network coding both in case of deterministic and random point patterns. Using the Boolean connectivity model we provide upper bounds for the maximum encoding number, i.e., the number of packets that can be combined such that the corresponding receivers are able to decode. For the models studied, this upper bound is of order vN, where N denotes the (mean) number of neighbours. Our simulations show that the vN law is applicable to small-sized networks as well. Moreover, achievable encoding numbers are provided for grid-like networks where we obtain the multiplicative constants analytically. Building on the above results, we provide an analytic expression for the upper bound of the efficiency of wireless network coding. The conveyed message is that it is favourable to reduce computational complexity by relying only on small encoding numbers, for example, XORing only pairs, as the resulting throughput loss is typically small.

AB - This paper explores wireless network coding both in case of deterministic and random point patterns. Using the Boolean connectivity model we provide upper bounds for the maximum encoding number, i.e., the number of packets that can be combined such that the corresponding receivers are able to decode. For the models studied, this upper bound is of order vN, where N denotes the (mean) number of neighbours. Our simulations show that the vN law is applicable to small-sized networks as well. Moreover, achievable encoding numbers are provided for grid-like networks where we obtain the multiplicative constants analytically. Building on the above results, we provide an analytic expression for the upper bound of the efficiency of wireless network coding. The conveyed message is that it is favourable to reduce computational complexity by relying only on small encoding numbers, for example, XORing only pairs, as the resulting throughput loss is typically small.

KW - encoding number

KW - network coding

KW - random networks

KW - wireless

M3 - Conference article in proceedings

SN - 978-1-4799-2239-0

SP - 500

EP - 507

BT - 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2013

PB - IEEE Institute of Electrical and Electronic Engineers

CY - Piscataway, NJ, USA

ER -