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Title: On special functions and composite statistical distributions and their applications in digital communications over fading channels
Author: Sofotasios, Paschalis
ISNI:       0000 0004 2748 2054
Awarding Body: University of Leeds
Current Institution: University of Leeds
Date of Award: 2010
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Statistical distributions and special functions have been for long constituting invaluable mathematical tools in the area of telecommunications. The main objective of their uti- lization is largely based on the adequate characterisation of fading and in the derivation of analytic expressions for numerous performance criterions of vital importance. To this end, statistical distributions have been traditionally used in characterising multipath fading and shadowing effects in wirelessly propagated information signals. Likewise, special functions have been exploited in the derivation and representation of assessment measures such as error probability and channel capacity. This has been shown to provide a significantly better insight into the behaviour and performance of modern communication systems. In addition, thanks to a series of recent contributions, it became largely feasible to perform numerous performance evaluations analytically. As a result, it has been shown that the task of building exhaustive and time consuming simulations may be ultimately avoided. Nevertheless, in spite of the undoubted usefulness of special functions and statistical distributions, their major disadvantage is their often complicated algebraic form. This is typically the case when they are involved in non-infinite integrals since the analytic evaluation of such integrals becomes rather cumbersome, if not impossible. Based on this, the derivation of alternative representations that are more algebraically tractable became necessary. Such representations can be exact or highly approximated and have been shown to be crucial in deriving useful analytic expressions in wireless communications.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available