ADHOC-NOW 2012: Ad-hoc, Mobile, and Wireless Networks pp 56-68

# Uninterrupted Coverage of a Planar Region with Rotating Directional Antennae

• Evangelos Kranakis
• Fraser MacQuarie
• Oscar Morales-Ponce
• Jorge Urrutia
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7363)

## Abstract

Assume that n directional antennae located at distinct points in the plane are rotating at constant identical speeds. They all have identical range and sensor angle (or field of view). We propose and study the Rotating Antennae Coverage Problem, a new problem concerning rotating sensors for the uninterrupted coverage of a region in the plane. More specifically, what is the initial orientation of the sensors, minimum angle, and range required so that a given (infinite or finite) line or planar domain is covered by the rotating sensors at all times? We give algorithms for determining the initial orientation of the sensors and analyze the resulting angle/range tradeoffs for ensuring continuous coverage of a given region or line in the plane with identical rotating sensors of given transmission angle and range. We also investigate other variants of the problem whereby for a given parameter T (representing time) there is no point in the domain that is left unattended by some sensor for a period of time longer than T. Despite the apparent simplicity of the problem several of the algorithms proposed are intricate and elegant. We have also implemented our algorithms in C++ and the code can be downloaded on the web.

## keywords and Phrases

Angle Antenna Constant Speed Coverage Floodlights Rotating Sensors

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© Springer-Verlag Berlin Heidelberg 2012

## Authors and Affiliations

• Evangelos Kranakis
• 1
• Fraser MacQuarie
• 1
• Oscar Morales-Ponce
• 1
• Jorge Urrutia
• 2
1. 1.School of Computer ScienceCarleton UniversityOttawaCanada
2. 2.Instituto de MatemáticasUniversidad Nacional Autónoma de MéxicoMéxico