Skip to main content
Log in

Denoising and Spike Removal from Raman Spectra using Double Density Dual-Tree Complex Wavelet Transform

  • Published:
Journal of Applied Spectroscopy Aims and scope

We aim to show the effectiveness of the double density dual-tree complex wavelet transform to denoise the Raman signal. A comparative study is carried out of the double density dual-tree complex wavelet transform with the discrete wavelet transform, dual-tree complex wavelet transforms, and Savitzky–Golay smoothing method to show its capability and effectiveness. Results show that denoising based on the double density dual-tree complex wavelet transform can improve the quantitative and qualitative analysis of the Raman signal.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. V. Raman and K. S. Krishnan, Nature, 121, 501 (1928).

    Article  ADS  Google Scholar 

  2. C. N. Banwell and E. M. McCash, Fundamentals of Molecular Spectroscopy, 851, McGraw-Hill, New York (1994).

  3. H. Krishna, S. K. Majumder, P. Chaturvedi, M. Sidramesh, and P. K. Gupta, J. Biophotonics, 7, 690 (2014).

    Article  Google Scholar 

  4. J. Filik and N. Stone, Analyst, 132, 544 (2007).

    Article  ADS  Google Scholar 

  5. J. M. Chalmers, M. Edwards, and H. G. Hargreaves, Infrared and Raman Spectroscopy in Forensic Science, John Wiley & Sons, Ltd. (2012).

  6. T. Bocklitz, A. Walter, K. Hartmann, P. Rösch, and J. Popp, Anal. Chim. Acta, 704, 47 (2011).

    Article  Google Scholar 

  7. V. Deckert and W. Kiefer, Appl. Spectrosc., 46, 322 (1992).

    Article  ADS  Google Scholar 

  8. G. Li, Second Int. Symp. Intell. Inform. Technology, IEEE, Shanghai, China, 535–539 (2008).

  9. D. Groom, In: Scientific Detectors for Astronomy, Eds. P. Amico, J. W. Beletic, and J. E. Beletic, Springer, Dordrecht, 81–94 (2004).

  10. H. Choi, Cosmic-Ray Interactions in Charged-Couple Devices in the DMTPC 4-Shooter Detector, Doctoral dissertation, Massachusetts Institute of Technology (2013).

  11. J. Zhao, Appl. Spectrosc., 57, 1368 (2003).

    Article  ADS  Google Scholar 

  12. P. M. Ramos and I. Ruisánchez, J. Raman Spectrosc., 36, 848 (2005).

    Article  ADS  Google Scholar 

  13. F. Ehrentreich and L. Sümmchen, Anal. Chem., 73, 4364 (2001).

    Article  Google Scholar 

  14. H. Chen, W. Xu, N. Broderick, and J. Han, J. Raman Spectrosc., 49, 1529 (2018).

    Article  ADS  Google Scholar 

  15. A. Savitzky and M. J. E. Golay, Anal. Chem., 36, 1627 (1964).

    Article  ADS  Google Scholar 

  16. F. Ehrentreich, Anal. Bioanal. Chem., 372, 115 (2002).

    Article  Google Scholar 

  17. P. D. Wentzell and C. D. Brown, In: Encyclopedia of Analytical Chemistry, Ed. R. A. Meyers, John Wiley & Sons, Ltd., Chichester, UK, 5207 (2000).

  18. L. S. Greek, H. G. Schulze, M. W. Blades, A. V. Bree, B. B. Gorzalka, and R. F. B. Turner, Appl. Spectrosc., 49, 425 (1995).

    Article  ADS  Google Scholar 

  19. C. Craggs, K. P. Galloway, and D. J. Gardiner, Appl. Spectrosc., 50, 43 (1996).

    Article  ADS  Google Scholar 

  20. R. Ramos, B. Valdez-Salas, R. Zlatev, M. Schorr Wiener, and J. M. Bastidas Rull, Int. J. Corros., 1 (2017).

  21. L. A. Montejo and L. E. Suárez, Int. J. Adv. Struct. Eng., 5, 26 (2013).

    Article  Google Scholar 

  22. P. Karthikeyan, M. Murugappan, and S. Yaacob, Int. J. Electr. Eng. Inform., 4, 306 (2012).

    Google Scholar 

  23. C. E. Heil and D. F. Walnut, SIAM Rev., 31, 628 (1989).

    Article  MathSciNet  Google Scholar 

  24. T. T. Cai, D. Zhang, and D. Ben-Amotz, Appl. Spectrosc., 55, 1124 (2001).

    Article  ADS  Google Scholar 

  25. N. Kingsbury, Appl. Comput. Harmon. Anal., 10, 234 (2001).

    Article  MathSciNet  Google Scholar 

  26. N. Kingsbury, Philos. Trans. R. Soc. Lond. Ser. Math. Phys. Eng. Sci., 357, 2543 (1999).

    Article  ADS  Google Scholar 

  27. A. A. Petrosian and F. G. Meyer, Wavelets in Signal and Image Analysis, Kluwer Academic Publishers, Netherlands (2001).

    Book  Google Scholar 

  28. I. W. Selesnick, Appl. Comput. Harmon. Anal., 10, 163 (2001).

    Article  MathSciNet  Google Scholar 

  29. I. W. Selesnick, IEEE Trans. Signal Proc., 52, 1304 (2004).

    Article  ADS  Google Scholar 

  30. R. K. Sarawale and S. R. Chougule, IEEE Second Int. Conf. Image Information Processing (ICIIP-2013), IEEE, Shimla, India, (2013), pp. 219–224.

  31. D. L. Donoho, I. M. Johnstone, G. Kerkyacharian, and D. Picard, In: Festschrift for Lucien Le Cam, Springer, New York (1997), pp. 183–218.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sh. Sharma.

Additional information

Published in Zhurnal Prikladnoi Spektroskopii, Vol. 88, No. 1, pp. 129–136, January–February, 2021.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharan, T.S., Sharma, S. & Sharma, N. Denoising and Spike Removal from Raman Spectra using Double Density Dual-Tree Complex Wavelet Transform. J Appl Spectrosc 88, 117–124 (2021). https://doi.org/10.1007/s10812-021-01149-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10812-021-01149-9

Keywords

Navigation