### Abstract

We consider a wireless sensor network consisting of n sensors, each having a recorded bit, sensors measurement, which has been set to either 0 or 1. network has a special node called fusion center whose goal is to compute a symmetric function of these bits; i.e., a function that depends only on number of sensors that have a 1. sensors convey information to fusion center in a multi-hop fashion to enable function computation. problem studied is to minimize total transmission energy used by network when computing this function, subject to constraint that this computation is correct with high probability. We assume wireless channels are binary symmetric channels with a probability of error p, and that each sensor uses r^{α}units of energy to transmit each bit, where r is transmission range of sensor. main result in this paper is an algorithm whose energy usage is Θ (n(loglogn)(logn/n)α), and we also show that any algorithm satisfying performance constraints must necessarily have energy usage Ω (n(logn/n)α). Then, we consider case where sensor network observes N events, and each node records one bit per event, thus having N bits to convey. fusion center now wants to compute N symmetric functions, one for each of events.

Original language | English (US) |
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Title of host publication | 2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006 |

DOIs | |

State | Published - 2006 |

Externally published | Yes |

Event | 2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006 - Boston, MA, United States Duration: Feb 26 2006 → Mar 2 2006 |

### Other

Other | 2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006 |
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Country | United States |

City | Boston, MA |

Period | 2/26/06 → 3/2/06 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications
- Modeling and Simulation

### Cite this

*2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006*[1666455] https://doi.org/10.1109/WIOPT.2006.1666455

**Distributed symmetric function computation in noisy wireless sensor networks with binary data.** / Ying, Lei; Srikant, R.; Dullerud, Geir E.

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

*2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006.*, 1666455, 2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006, Boston, MA, United States, 2/26/06. https://doi.org/10.1109/WIOPT.2006.1666455

}

TY - GEN

T1 - Distributed symmetric function computation in noisy wireless sensor networks with binary data

AU - Ying, Lei

AU - Srikant, R.

AU - Dullerud, Geir E.

PY - 2006

Y1 - 2006

N2 - We consider a wireless sensor network consisting of n sensors, each having a recorded bit, sensors measurement, which has been set to either 0 or 1. network has a special node called fusion center whose goal is to compute a symmetric function of these bits; i.e., a function that depends only on number of sensors that have a 1. sensors convey information to fusion center in a multi-hop fashion to enable function computation. problem studied is to minimize total transmission energy used by network when computing this function, subject to constraint that this computation is correct with high probability. We assume wireless channels are binary symmetric channels with a probability of error p, and that each sensor uses rαunits of energy to transmit each bit, where r is transmission range of sensor. main result in this paper is an algorithm whose energy usage is Θ (n(loglogn)(logn/n)α), and we also show that any algorithm satisfying performance constraints must necessarily have energy usage Ω (n(logn/n)α). Then, we consider case where sensor network observes N events, and each node records one bit per event, thus having N bits to convey. fusion center now wants to compute N symmetric functions, one for each of events.

AB - We consider a wireless sensor network consisting of n sensors, each having a recorded bit, sensors measurement, which has been set to either 0 or 1. network has a special node called fusion center whose goal is to compute a symmetric function of these bits; i.e., a function that depends only on number of sensors that have a 1. sensors convey information to fusion center in a multi-hop fashion to enable function computation. problem studied is to minimize total transmission energy used by network when computing this function, subject to constraint that this computation is correct with high probability. We assume wireless channels are binary symmetric channels with a probability of error p, and that each sensor uses rαunits of energy to transmit each bit, where r is transmission range of sensor. main result in this paper is an algorithm whose energy usage is Θ (n(loglogn)(logn/n)α), and we also show that any algorithm satisfying performance constraints must necessarily have energy usage Ω (n(logn/n)α). Then, we consider case where sensor network observes N events, and each node records one bit per event, thus having N bits to convey. fusion center now wants to compute N symmetric functions, one for each of events.

UR - http://www.scopus.com/inward/record.url?scp=84886472496&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84886472496&partnerID=8YFLogxK

U2 - 10.1109/WIOPT.2006.1666455

DO - 10.1109/WIOPT.2006.1666455

M3 - Conference contribution

SN - 0780395492

SN - 9780780395497

BT - 2006 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt 2006

ER -