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Unified structure of basic UWB waveforms

Ghavami, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1109/TCSII.2008.2008068
  3. Publisher: 2008
  4. Abstract:
  5. 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. © 2008 IEEE
  6. Keywords:
  7. Gaussian pulses ; Hermite polynomials ; Prolate spheroidal waveforms ; Ultra-wideband (UWB) signals
  8. Source: IEEE Transactions on Circuits and Systems II: Express Briefs ; Volume 55, Issue 12 , 2008 , Pages 1304-1308 ; 15497747 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/4698885