Closed-form correlation functions of generalized Hermite wavelets

@article{Abreu2005ClosedformCF,
  title={Closed-form correlation functions of generalized Hermite wavelets},
  author={Giuseppe Thadeu Freitas de Abreu},
  journal={IEEE Transactions on Signal Processing},
  year={2005},
  volume={53},
  pages={2258-2261}
}
A closed-form expression is given for the correlation functions of generalized Hermite wavelets, constructed from an also-generalized definition of Hermite polynomials. Due to their Gaussianity, these wavelets can be used as a tool in the analysis or design of systems involving nonsinusoidal wavelets as well as to model impulsive waveforms found in real-world applications and signal processing problems. As such, the formula is potentially applicable to various areas of science. 

From This Paper

Figures, tables, and topics from this paper.
5 Citations
20 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Autocorrelation functions for Hermite-polynomial ultra-wideband pulses

  • Electron. Lett., vol. 39, no. 11, pp. 870–871…
  • 2003
2 Excerpts

Impulse radio , ” in

  • M. Z. Win
  • Electron . Lett .
  • 2003

Models for UWB pulses and their effects on narrowband direct conversion receiver

  • L. E. Miller
  • Proc. IEEE 2nd Ultra Wideband Syst. Technol., Nov…
  • 2003
1 Excerpt

On the design of orthogonal pulse-shapemodulation for UWB systems using Hermite pulses

  • G.T.F. deAbreu, C.J.Mitchell, andR. Kohno
  • J. Commun. Networks—Special Issue on Ultra…
  • 2003
2 Excerpts

Path loss modeling in short-range uwb transmissions

  • A. Armogida, B. Allen, M. Ghavami, M. Porretta, G. Manara, H. Aghvami
  • Proc. IEEE Int. Workshop Ultra-Wideband Syst…
  • 2003
1 Excerpt

Time - scale based detection of intercritical paroxytic events in electroencephalography

  • J. J. Bellanger, andG. Garrault
  • Rev . Traitement du Signal
  • 2003

Similar Papers

Loading similar papers…