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Proceedings Paper

Continuous wavelet transform for improving resolution of overlapped bands
Author(s): S. S. Kharintsev; D. I. Kamalova; A. A. Sevastianov; Myakzyum Kh. Salakhov
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Paper Abstract

In this paper we consider a numerical differentiation algorithm based on the continuous wavelet transform for improving resolution of composite spectra. This approach provides the best contrast in differential curves compared to the conventional derivative spectrometry. A main merit is that the wavelet-based technique gives stable estimations of derivative without using the regularization, on the other hand, it does not make peak shifts. A comparative study of conventional derivative spectrometry based on the statistical regularization method and wavelet-based derivative spectrometry is made. Examples of the application of these for improving resolution of synthetic composite bands and real-world composite ones coming from molecular spectroscopy are given.

Paper Details

Date Published: 20 April 2004
PDF: 9 pages
Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004); doi: 10.1117/12.562176
Show Author Affiliations
S. S. Kharintsev, Kazan State Univ. (Russia)
D. I. Kamalova, Kazan State Univ. (Russia)
A. A. Sevastianov, Kazan State Univ. (Russia)
Myakzyum Kh. Salakhov, Kazan State Univ. (Russia)


Published in SPIE Proceedings Vol. 5402:
International Workshop on Quantum Optics 2003
Vitaly V. Samartsev, Editor(s)

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