University of Twente Student Theses


Performance measurement of Hermite-based multi-carrier communication

Ruiter, Mark de (2014) Performance measurement of Hermite-based multi-carrier communication.

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Abstract:The current work presents the results of an investigation in the applicability of Hermite functions as a set of basis signals for wireless communication. Despite being well-localized in time-frequency regarding the second-order moments, Hermite functions exhibit exponential tails that extend infinitely both in time and in frequency. The resulting overlap between different symbols causes ISI, that increases with symbol density. Spectral efficiency depends on the density of symbols in the time-frequency plane, the number of basis signals and the employed modulation scheme. Analyses, simulations and measurements in this thesis are focussed on the question what the maximum achievable spectral efficiency of a Hermite system is, when the BER resulting from ISI is constrained. Because a rigorous mathematical analysis of the inherent interference tends to burst with complexity, the simulations and measurements attain a prominent role in the anwer to this question. When spectral efficiency is maximized, there is intuitively little tolerance on symbol positions in time-frequency. Because the unsynchronized multi-user situation is the intended application of the Hermite system, questions about its robustness against missynchronization are relevant. The missynchronization tolerance depends on the characteristics of the relation between the synchronization error and the BER. This relation is inspected by means of simulations and compared to that of a traditional OFDM system. A major goal of the current work is verification of theoretical performance by the actual transmission of data using physical transceivers. To accomplish this goal, an experimental setup consisting of globally available hardware is made. The real-world transmissions of data with Hermite functions lead to results that support theoretical performance figures.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics, 33 physics, 53 electrotechnology, 54 computer science
Programme:Electrical Engineering MSc (60353)
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