Download the full-sized PDF of Performance Analysis and Array Design for Size Constrained Multiple Antenna ReceptionDownload the full-sized PDF



Permanent link (DOI):


Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Graduate Studies and Research, Faculty of


This file is in the following collections:

Theses and Dissertations

Performance Analysis and Array Design for Size Constrained Multiple Antenna Reception Open Access


Other title
Antenna correlation
Optimum combining
Cochannel interference
Optimum antenna placement
Multiple antenna reception
Type of item
Degree grantor
University of Alberta
Author or creator
Dehghani Rahimzadeh, Payam
Supervisor and department
Beaulieu, Norman C. (Electrical and Computer Engineering)
Examining committee member and department
Wiens, Douglas (Mathematical and Statistical Sciences)
Collings, Iain (Electrical and Information Engineering, University of Sydney)
Ardakani, Masoud (Electrical and Computer Engineering)
Nowrouzian, Behrouz (Electrical and Computer Engineering)
Vorobyov, Sergiy (Electrical and Computer Engineering)
Department of Electrical and Computer Engineering
Date accepted
Graduation date
Doctor of Philosophy
Degree level
Future generations of wireless cellular networks will vastly benefit from the various advantages of multiple antenna techniques. It is, however, well known that signal correlation among a closely spaced set of antennas deployed on a small wireless mobile device can dramatically degrade the performance of such multiple antenna techniques. The performances of two multiple antenna reception schemes for a size limited array of antennas are investigated. Exact closed-form expressions are derived for the bit error rate of binary phase shift keying (BPSK) in Rayleigh fading with maximal ratio combining (MRC) diversity in the presence of cochannel interference (CCI) and additive white Gaussian noise (AWGN). The desired signal and the interferer signals are all subject to correlated Rayleigh fading. In the next contribution, an analytical expression is derived for the average output signal-to-interference-plus-noise ratio (SINR) of optimum combining (OC) for a spatially correlated array of antennas in the presence of a single interferer and Rayleigh fading. Using the derived expression and based on an asymptotic analysis of the eigenvalues of dense correlation matrices, the asymptotic performance of optimum combining is evaluated as the number of the antennas increases while the total physical size of the array is fixed.The case of multiple interferers is examined by simulation and is shown to exhibit similar asymptotic behavior to the case of one interferer. Finally, a general analytical framework for the optimal design of a size constrained array of antennas is developed. It is shown that the problem of optimizing the number and the positions of the antennas within a size limited array can be formulated as a quadratic convex optimization problem which can be solved efficiently using the available numerical methods for convex optimization. Moreover, an analytical solution to this convex problem is obtained for the special case of a linear array under exponential correlation model. Several one-dimensional (1D) and two-dimensional (2D) array design examples are presented within the proposed framework.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 944289
Last modified: 2015:10:12 20:31:07-06:00
Filename: DehghaniRahimzadeh_Payam_Spring2012.pdf
Original checksum: 7d015c960bf3f498892f8459e4bc3f49
Well formed: true
Valid: true
File title: Z:/MyFiles/latex/Thesis/thesis.dvi
Page count: 114
Activity of users you follow
User Activity Date