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Application of continuous wavelet transform to the analysis of the modulus of the fractional Fourier transform bands for resolving two component mixture

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Abstract

In this paper, the fractional Fourier transform (FrFT) is applied to the spectral bands of two component mixture containing oxfendazole and oxyclozanide to provide the multicomponent quantitative prediction of the related substances. With this aim in mind, the modulus of FrFT spectral bands are processed by the continuous Mexican Hat family of wavelets, being denoted by MEXH-CWT-MOFrFT. Four modulus sets are obtained for the parameter \(a\) of the FrFT going from 0.6 up to 0.9 in order to compare their effects upon the spectral and quantitative resolutions. Four linear regression plots for each substance were obtained by measuring the MEXH-CWT-MOFrFT amplitudes in the application of the MEXH family to the modulus of the FrFT. This new combined powerful tool is validated by analyzing the artificial samples of the related drugs, and it is applied to the quality control of the commercial veterinary samples.

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Acknowledgments

This work was done within the Chemometric Laboratory of Faculty of Pharmacy, and it was supported by the scientific research project No. 10A3336001 of Ankara University, Turkey.

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Authors and Affiliations

  1. Department of Analytical Chemistry, Faculty of Pharmacy, Ankara University, 06100 , Tandoğan, Ankara, Turkey

    Erdal Dinç

  2. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 , Porto, Portugal

    J. A. Tenreiro Machado

  3. Faculty of Engineering and Natural Sciences, Lusofona University, Campo Grande, 376, 1749-024 , Lisbon, Portugal

    Fernando B. Duarte

  4. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 , Ankara, Turkey

    Dumitru Baleanu

  5. National Institute for Laser, Plasma and Radiation, Institute of Space Sciences, P.O. Box, MG-23, 76911, Magurele-Bucharest, Romania

    Dumitru Baleanu

  6. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

    Dumitru Baleanu

Authors
  1. Erdal Dinç
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  2. Fernando B. Duarte
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  3. J. A. Tenreiro Machado
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  4. Dumitru Baleanu
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Corresponding author

Correspondence to J. A. Tenreiro Machado.

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Dinç, E., Duarte, F.B., Machado, J.A.T. et al. Application of continuous wavelet transform to the analysis of the modulus of the fractional Fourier transform bands for resolving two component mixture. SIViP 9, 801–807 (2015). https://doi.org/10.1007/s11760-013-0503-9

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  • DOI: https://doi.org/10.1007/s11760-013-0503-9

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