How to resolve overlapping Gaussian signals using wavelets

Mikhail V. Altaisky; Elena Alexandrovna Kolganova; Vera Eduardovna Kovalenko; Gennadii A. Ososkov

doi:10.1117/12.258282

14 November 1996 How to resolve overlapping Gaussian signals using wavelets

Mikhail V. Altaisky, Elena Alexandrovna Kolganova, Vera Eduardovna Kovalenko, Gennadii A. Ososkov

Proceedings Volume 2847, Applications of Digital Image Processing XIX; (1996) https://doi.org/10.1117/12.258282
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

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.

Citation Download Citation

Mikhail V. Altaisky, Elena Alexandrovna Kolganova, Vera Eduardovna Kovalenko, and Gennadii A. Ososkov "How to resolve overlapping Gaussian signals using wavelets", Proc. SPIE 2847, Applications of Digital Image Processing XIX, (14 November 1996); https://doi.org/10.1117/12.258282

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