How to Position n Transmitter-Receiver Pairs in n - 1 Dimensions such that Each Can Use Half of the Channel with Zero Interference from the Others

Authors

R. Mathar, M. Zivkovic,

Abstract

        This work is inspired by the question. "Can 100 speakers talk for 30 minutes each in one room within one hour and with zero interference to each other s audience?" posed by Cadambe and Jafar at the 45th Allerton conference 2007, see [1]. We consider the problem of how many transmitter-receiver pairs can be placed such that each desired link may use half of the channel time free of interference from unintended transmissions. The answer is given in the title: at least n pairs, i.e., 2n stations can be positioned in the (n-1)-dimensional Euclidean space such that complete interference alignment in time is achieved. Regular patterns with equal distances between receivers and transmitters, respectively, are the solution. The basic methodology for achieving this result is borrowed from the field of distance geometry.

BibTEX Reference Entry 

@inproceedings{MaZi09,
	author = {Rudolf Mathar and Milan Zivkovic},
	title = "How to Position {$n$} Transmitter-Receiver Pairs in {$n-1$} Dimensions such that Each Can Use Half of the Channel with Zero Interference from the Others",
	booktitle = "{IEEE} Globecom 2009",
	address = {Honolulu, Hawaii, USA},
	month = Dec,
	year = 2009,
	hsb = hsb910015378,
	}

Downloads

 Download paper  Download bibtex-file

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights there in are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.