Distance Distributions and Border Effects in a Unit Square

Salman Durrani (ANU)

APPLIED SIGNAL PROCESSING SERIES

DATE: 2012-05-24
TIME: 11:00:00 - 11:30:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
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ABSTRACT:
The knowledge of inter-node distances is an essential tool for the evaluation of wireless network characteristics such as connectivity, interference, energy consumption and spatial routing. When a known and fixed number of nodes are independently and uniformly distributed in a finite region, the infinite homogeneous Poisson point process (PPP) does not accurately model the distance distribution. This is due to the border effects experienced by the nodes located near the physical boundaries of the region. This seminar examines the application of the area ratio calculation method to characterise the border effects. We present a general framework for determining the closed-from k-th neighbour distance distributions from any arbitrary reference point inside a unit square region, generalizing a recent result in the literature.
BIO:
Salman Durrani received the B.Sc. (1st class honours) degree in Electrical Engineering from the University of Engineering & Technology, Lahore, Pakistan in 2000. He received the PhD degree in Electrical Engineering from the University of Queensland, Brisbane, Australia in Dec. 2004. He has been with the Australian National University, Canberra, Australia, since 2005, where he is currently Senior Lecturer in the Research School of Engineering, College of Engineering & Computer Science. His current research interests are in wireless communications and signal processing, including synchronization in cooperative communication systems, connectivity of ad-hoc networks and vehicular networks and signal processing on the unit sphere. He is a Member of Institution of Engineers, Australia and a Senior Member of IEEE.