Communication in a Poisson field of interferers

This thesis presents a mathematical model for communication subject to both interference and noise. We introduce a realistic framework where the interferers are spatially scattered according to a Poisson field, and are operating asynchronously in a wireless environment; subject to path loss, shadowing, and multipath fading. We consider both cases of slow and fast-varying interferer positions. Under this scenario, we determine the statistical distribution of the cumulative interference at the output of a linear receiver, located anywhere in the two-dimensional plane. We characterize the error probability and capacity of the link, when subject to both network interference and thermal noise. We derive the power spectral density (PSD) of the cumulative interference at any location in the plane. We put forth the concept of spectral outage probability (SOP), a new characterization of the cumulative interference generated by communicating nodes in a wireless network. Lastly, we quantify the cumulative interference distribution, error probability, channel capacity, PSD, and SOP as a function of various important system parameters, such as the signal-to-noise ratio (SNR), interference-to-noise ratio (INR), path loss exponent of the channel, and spatial density of the interferers.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2007

Author dc:creator

• Pinto, Pedro C. (Pedro Correia)

Advisor dc:contributor.advisor

• Moe Z. Win.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/38665

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/38665