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Proceedings Paper

How to resolve overlapping Gaussian signals using wavelets
Author(s): Mikhail V. Altaisky; Elena Alexandrovna Kolganova; Vera Eduardovna Kovalenko; Gennadii A. Ososkov
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Paper Abstract

In the given paper a method for resolving two overlapping signals is described for the case, when both signals are Gaussians with equal half-width. Using wavelet transform of the original signal, which contains such a superposition of two Gaussians, we express the shift between peaks in terms of wavelet image maxima. This enables us to develop a fast method to determine positions and amplitudes of the Gaussian sources with a satisfactory accuracy. A comparison with Fourier method often applied to this problem is presented.

Paper Details

Date Published: 14 November 1996
PDF: 9 pages
Proc. SPIE 2847, Applications of Digital Image Processing XIX, (14 November 1996); doi: 10.1117/12.258282
Show Author Affiliations
Mikhail V. Altaisky, Joint Institute for Nuclear Research (Russia)
Elena Alexandrovna Kolganova, Joint Institute for Nuclear Research (Russia)
Vera Eduardovna Kovalenko, Joint Institute for Nuclear Research (Russia)
Gennadii A. Ososkov, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 2847:
Applications of Digital Image Processing XIX
Andrew G. Tescher, Editor(s)

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