NeTS: Small: Large Scale Sensor Network Routing using Conformal Geometry

Project Details

Description

This project develops efficient routing schemes for large scale multi-hop

wireless sensor networks with a complex shape. As sensor networks grow large

in size, terrain features or non-uniform energy usage may leave the network

with holes. Efficient routing becomes difficult as some knowledge of how to

'get around' the holes is needed.

The novelty of this project is to use conformal geometry to compute a proper

embedding of the network such that simple, distributed greedy routing schemes

achieve desirable properties. Conformal geometry shows that any surface can

be deformed to three canonical shapes: the sphere, the plane and the disk.

Thus, one can 'regulate' any sensor field shape to be of a canonical, simple

form. The complexity of the routing problem and the domain specifics are

encapsulated in the embedding such that routing decision becomes trivial.

The conformal mapping of a sensor network is computed using Ricci curvature

flow, an intrinsically distributed computation routine that can easily

incorporate the dynamic changes of wireless links. This project focuses on

conformal mapping and the companion greedy routing solutions that guarantee

delivery, achieve good load balancing, facilitate in-network storage and

data-centric routing, are resilient to network failures, and generalize to

both 2D and 3D networks.

This project explores the unique cross-disciplinary area of wireless networking and differential geometry. Although the main thrust of this proposal is theoretical, it is expected that the project can also provide practical routing solutions for large scale sensor networks.

StatusFinished
Effective start/end date7/1/106/30/13

Funding

  • National Science Foundation: $450,000.00

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