Continuous wavelet transform for improving resolution of overlapped bands

S. S. Kharintsev; D. I. Kamalova; A. A. Sevastianov; Myakzyum Kh. Salakhov

doi:10.1117/12.562176

20 April 2004 Continuous wavelet transform for improving resolution of overlapped bands

S. S. Kharintsev, D. I. Kamalova, A. A. Sevastianov, Myakzyum Kh. Salakhov

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.

Citation Download Citation

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

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