Toward resource-optimal consensus over the wireless medium

Journal Article (Journal Article)

We carry out a comprehensive study of the resource cost of averaging consensus in wireless networks. Most previous approaches suppose a graphical network, which abstracts away crucial features of the wireless medium, and measure resource consumption only in terms of the total number of transmissions required to achieve consensus. Under a path-loss model, we study the resource requirements of consensus with respect to three wireless- appropriate metrics: total transmit energy, elapsed time, and time-bandwidth product. First, we characterize the performance of several popular gossip algorithms, showing that they may be order-optimal with respect to transmit energy but are strictly suboptimal with respect to elapsed time and time-bandwidth product. Further, we propose a new consensus scheme, termed hierarchical averaging, and show that it is nearly order-optimal with respect to all three metrics. Finally, we examine the effects of quantization, showing that hierarchical averaging provides a nearly orderoptimal tradeoff between resource consumption and quantization error. © 2013 IEEE.

Full Text

Duke Authors

Cited Authors

  • Nokleby, M; Bajwa, WU; Calderbank, R; Aazhang, B

Published Date

  • January 1, 2013

Published In

Volume / Issue

  • 7 / 2

Start / End Page

  • 284 - 295

International Standard Serial Number (ISSN)

  • 1932-4553

Digital Object Identifier (DOI)

  • 10.1109/JSTSP.2013.2246765

Citation Source

  • Scopus