On the empirical eigenvalue distribution of slotted amplify-and-forward relaying protocol model

Widanagamage, Anushka, Jayalath, Dhammika, & O'Shea, Peter J. (2011) On the empirical eigenvalue distribution of slotted amplify-and-forward relaying protocol model. In eddBE2011 : Sustainable Wellbeing : The First International Conference on Engineering, Designing and Developing the Built Environment for Sustainable Wellbeing, 27-29 April 2011, Gardens Point Campus, Queensland University of Technology, Brisbane.

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In this paper we consider the case of large cooperative communication systems where terminals use the protocol known as slotted amplify-and-forward protocol to aid the source in its transmission. Using the perturbation expansion methods of resolvents and large deviation techniques we obtain an expression for the Stieltjes transform of the asymptotic eigenvalue distribution of a sample covariance random matrix of the type HH† where H is the channel matrix of the transmission model for the transmission protocol we consider. We prove that the resulting expression is similar to the Stieltjes transform in its quadratic equation form for the Marcenko-Pastur distribution.

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ID Code: 42449
Item Type: Conference Paper
Refereed: Yes
Keywords: Cooperative Communication, Amplify-and-forward, Resolvent, Stieltjes Transform
ISBN: 978-0-98-05827-4-1
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Probability Theory (010404)
Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > COMMUNICATIONS TECHNOLOGIES (100500) > Wireless Communications (100510)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: 2011 Queensland University of Technology
Copyright Statement: This publication contains conference proceedings. Reproduction, but not modification, is permissible without the authors‘ consent provided that the authors‘ work is referenced appropriately. No modification of the contents of
this publication is allowed. The Organising Committee and Queensland University of Technology are not responsible for the statements or opinions expressed in this publication. Any statements or views expressed in the papers contained in these Proceedings are those of the author(s). Mention of trade names or commercial products does not constitute endorsement or recommendation for use.
Deposited On: 18 Oct 2011 22:54
Last Modified: 18 Oct 2011 22:54

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