20 April 2004 Continuous wavelet transform for improving resolution of overlapped bands
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Proceedings Volume 5402, International Workshop on Quantum Optics 2003; (2004) https://doi.org/10.1117/12.562176
Event: International Workshop on Quantum Optics 2003, 2003, St. Petersburg, Russian Federation
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.
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S. S. Kharintsev, S. S. Kharintsev, D. I. Kamalova, D. I. Kamalova, A. A. Sevastianov, A. A. Sevastianov, Myakzyum Kh. Salakhov, Myakzyum Kh. Salakhov, } "Continuous wavelet transform for improving resolution of overlapped bands", Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004); doi: 10.1117/12.562176; https://doi.org/10.1117/12.562176
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