DocumentCode
3559236
Title
Unified Structure of Basic UWB Waveforms
Author
Ghavami, Mohammad ; Amini, Arash ; Marvasti, Farrokh
Author_Institution
Dept. of Electron. Eng., King´´s Coll. London, London
Volume
55
Issue
12
fYear
2008
Firstpage
1304
Lastpage
1308
Abstract
In this brief, a generalized expression for the popular ultra wideband waveforms is derived. It is shown that all three waveforms used in ultra wideband (Gaussian, modified Hermite, and prolate spheroidal waveforms) fulfill the Sturm-Liouville differential equation. By using this unified structure, characteristics of the waveforms such as orthogonality, finite duration in time and frequency spectrum are explained.
Keywords
differential equations; ultra wideband technology; Sturm-Liouville differential equation; UWB waveforms; frequency spectrum; ultra wideband waveforms; unified structure; Bandwidth; Differential equations; Filtering; Frequency domain analysis; Gaussian processes; Genetic expression; Polynomials; Pulse shaping methods; Shape; Ultra wideband technology; Gaussian pulses; Hermite polynomials; prolate spheroidal waveforms; ultra-wideband (UWB) signals;
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2008.2008068
Filename
4698885
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