Skip to main content

Fractional Wavelet Transform for the Quantitative Spectral Analysis of Two-Component System

  • Chapter
  • First Online:
Book cover New Trends in Nanotechnology and Fractional Calculus Applications

Abstract

The fractional wavelet transform (FWT) combined with zero crossing technique was applied to the absorption spectra for the quantitative resolution of a binary mixture consisting of trimethoprim and sulfachloropyridazine sodium. The absorption spectra of trimethoprim and sulfachloropyridazine sodium were processed by FWT method. In the following step, the FWT spectra were obtained by plotting the fractional wavelet coefficients versus the wavelength. Classical second derivative method was applied to the fractional wavelet signals in the wavelet domain. A calibration graphs for each substance were obtained by measuring the FWT-amplitudes at an appropriate wavelength corresponding to a zero crossing point in the derivative spectra of the FWT-signals. The amounts of trimethoprim and sulfachloropyridazine sodium in tablets.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Blu T, Unser M (2000) The fractional spline wavelet transform: definition and implementation. Proceedings of the Twenty-Fifth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP’00). Istanbul, Turkey, 5–9 June, vol. I, pp 512–515

    Google Scholar 

  2. Blu T, Unser M (2002) Wavelets, fractals, and radial basis functions. IEEE Trans Signal Process 50(3):543–553

    Article  MathSciNet  Google Scholar 

  3. Unser M, Blu T (1999) Construction of fractional spline wavelet bases. In: proc.SPIE Wavelets Applications in Signal and Image Processing VII, Denver, CO, 3813, pp 422–431

    Google Scholar 

  4. Unser M, Blu T (2000) Fractional splines and wavelets. SIAM Rev 42(1):43–67

    Article  MATH  MathSciNet  Google Scholar 

  5. Miller KS, Ross B (1993) An introduction to the fractional integrals and derivatives-theory and applications. Gordon and Breach, Longhorne, PA

    Google Scholar 

  6. Oldham KB, Spanier J (1974) The fractional calculus. Academic, New York

    MATH  Google Scholar 

  7. Podlubny I (1999) Fractional differential equations. Academic, San Diego

    MATH  Google Scholar 

  8. Daubechies I (1992) Ten lectures on wavelets. Society for Industrial and Applied Mathematics, Philadelphia, 1992

    MATH  Google Scholar 

  9. Walczak B (2000) Wavelets in chemistry. Elsevier, Amsterdam, The Netherlands

    Google Scholar 

  10. Dinç E, Baleanu D (2004) Multicomponent quantitative resolution of binary mixtures by using continuous wavelet transform. J AOAC Int 87(2):360–365

    Google Scholar 

  11. Dinç E, Baleanu D (2006) A new fractional wavelet approach for simultaneous determination of sodium and sulbactam sodium in a binary mixture. Spectr Acta Part 63(3):631–638

    Article  Google Scholar 

  12. Dinç E, Baleanu D (2004) Application of the wavelet method for the simultaneous quantitative determination of benazepril and hydrochlorothiazide in their mixtures. J AOAC Int 87(4): 834–841

    Google Scholar 

  13. Dinç E, Baleanu D (2007) A review on the wavelet transform applications in analytical chemistry. In: Tas K, Tenreiro Machado JA, Baleanu D (eds) Mathematical Methods in Engineering. Springer, pp 265–285

    Google Scholar 

  14. Dinç E, Baleanu D, Üstündağ Ö (2003) An approach to quantitative two-component analysis of a mixture containing hydrochlorothiazide and spironolactone in tablets by one-dimensional continuous Daubechies and biorthogonal wavelet analysis of UV-spectra. Spectr Lett 36: 341–355

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Erdal Dinç .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Kanbur, M., Narin, I., Özdemir, E., Dinç, E., Baleanu, D. (2010). Fractional Wavelet Transform for the Quantitative Spectral Analysis of Two-Component System. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_28

Download citation

  • DOI: https://doi.org/10.1007/978-90-481-3293-5_28

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3292-8

  • Online ISBN: 978-90-481-3293-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics