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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2008.2008068
