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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Sundaram, S. Hadjicostis, C.N. |
| Copyright Year | 2008 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Illinois, IL, USA (Sundaram, S.; Hadjicostis, C.N.) |
| Abstract | Given a fixed network where each node has some given initial value, and under the constraint that each node receives noisy transmissions from its immediate neighbors, we provide a distributed scheme for any node to calculate an unbiased estimate of an arbitrary linear function of the initial values. Our scheme consists of a linear iteration where, at each time-step, each node updates its value to be a weighted average of its own previous value and those of its neighbors. We show that after repeating this process with almost any set of weights for a finite number of time-steps (upper bounded by the size of the network), any node in the network will be able to calculate an unbiased estimate of any linear function by taking a linear combination of the values that it sees over the course of the linear iteration. For a given set of weights, this linear combination can also be optimized to minimize the variance of the unbiased estimate calculated by each node. |
| Starting Page | 5462 |
| Ending Page | 5467 |
| File Size | 216392 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424431236 |
| ISSN | 01912216 |
| DOI | 10.1109/CDC.2008.4738918 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2008-12-09 |
| Publisher Place | Mexico |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Biological control systems Vectors Computer science Communication system control Protocols Control system synthesis Multiagent systems Biological system modeling Network topology Engineering profession |
| Content Type | Text |
| Resource Type | Article |
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