Multivariate statistics play an important role in performance analysis of wireless communication
systems in correlated fading channels. This thesis presents a framework which can
be used to derive easily computable mathematical representations for some multivariate statistical
distributions, which are derivatives of the Gaussian distribution, and which have a
particular correlation structure. The new multivariate distribution representations are given
as single integral solutions of familiar mathematical functions which can be evaluated using
common mathematical software packages. The new approach can be used to obtain single
integral representations for the multivariate probability density function, cumulative distribution
function, and joint moments of some widely used statistical distributions in wireless
communication theory, under an assumed correlation structure. The remarkable advantage
of the new representation is that the computational burden remains at numerical evaluation
of a single integral, for a distribution with an arbitrary number of dimensions. The
new representations are used to evaluate the performance of diversity combining schemes
and multiple input multiple output systems, operating in correlated fading channels. The
new framework gives some insights into some long existing open problems in multivariate
statistical distributions. / Communications
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:AEU.10048/1310 |
| Date | 11 1900 |
| Creators | Hemachandra, Kasun Thilina |
| Contributors | Dr. Norman C. Beaulieu (Electrical and Computer Engineering), Dr. Chintha Tellambura (Electrical and Computer Engineering), Dr. Byron Schmuland (Mathematical and Statistical Sciences) |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Format | 574021 bytes, application/pdf |
| Relation | Hemachandra, Kasun T.; Beaulieu, Norman C.; , "Simple Expressions for the SER of Dual MRC in Correlated Nakagami-q (Hoyt) Fading," Communications Letters, IEEE , vol.14, no.8, pp.743-745, August 2010 doi: 10.1109/LCOMM.2010.08.100773 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5545655&isnumber=5545634, Beaulieu, Norman C.; Hemachandra, Kasun T.; , "New Simple Solutions for the Bivariate Rician PDF and CDF," Wireless Communications and Networking Conference (WCNC), 2010 IEEE , vol., no., pp.1-4, 18-21 April 2010 doi: 10.1109/WCNC.2010.5506181 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5506181&isnumber=5506094, Hemachandra, Kasun T.; Beaulieu, Norman C.; , "Novel Simple Forms for Multivariate Nakagami-m Distributions with Generalized Correlation," Wireless Communications and Networking Conference (WCNC), 2010 IEEE , vol., no., pp.1-6, 18-21 April 2010 doi: 10.1109/WCNC.2010.5506182 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5506182&isnumber=5506094 |
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