Skip to main content
SpringerLink
Log in

Generalized Two-dimensional Correlation Analysis for Unimodal Waveforms Modeled by Quadratic Polynomials

  • Notes
  • Published:
Analytical Sciences Aims and scope Submit manuscript

Abstract

We describe further potential of generalized 2D correlation analysis, aiming to realize the automation of the sequential order determination of signal variations. By modeling unimodal waveforms using quadratic functions, we can analytically express 2D correlation functions to yield an index to determine the sequential order. Based on the obtained results, we find an exception for determining the sequential order of signal variations. To resolve the exception, we suggest an extended way of interpreting the sequential order of signal intensity changes.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. Noda, Appl. Spectrosc., 1993, 47, 1329.

    Article  CAS  Google Scholar 

  2. I. Noda and Y. Ozaki, “Two-Dimensional Correlation Spectroscopy Applications in Vibrational and Optical Spectroscopy”, 2004, John Wiley and Sons Ltd., The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ, England.

    Book  Google Scholar 

  3. I. Noda, Anal. Sci., 2007, 23, 139.

    Article  PubMed  Google Scholar 

  4. T. Nishii, T. Genkawa, M. Watari, and Y. Ozaki, Anal. Sci., 2012, 28, 1165.

    Article  CAS  PubMed  Google Scholar 

  5. H. Huang, X. Ding, C. Zhu, Z. He, and Y. Yu, Anal. Chem., 2013, 85, 2161.

    Article  CAS  PubMed  Google Scholar 

  6. L. Ma, V. Sikirzhytski, Z. Hong, I. K. Lednev, and S. A. Asher, Appl. Spectrosc., 2013, 67, 283.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  7. P. Lasch and I. Noda, Anal. Chem., 2017, 89, 5008.

    Article  CAS  PubMed  Google Scholar 

  8. S. Takanezawa, Y. Sako, Y. Ozaki, and S. Morita, Proc. SPIE, 2013, 8879, 887902.

    Article  Google Scholar 

  9. I. Noda, J. Mol. Struct., 2016, 1124, 53.

    Article  CAS  Google Scholar 

  10. S. Morita, H. Shinzawa, I. Noda, and Y. Ozaki, Appl. Spectrosc., 2006, 60, 398.

    Article  CAS  PubMed  Google Scholar 

  11. Y. M. Jung, H. Sato, and I. Noda, Anal. Sci., 2007, 23, 881.

    Article  CAS  PubMed  Google Scholar 

  12. N. Spegazzini, H. W. Siesler, and Y. Ozaki, Anal. Chem., 2012, 84, 8330.

    Article  CAS  PubMed  Google Scholar 

  13. I. Noda, Appl. Spectrosc., 2000, 54, 994.

    Article  CAS  Google Scholar 

Download references

Acknowledgments

This study was supported by KAKENHI 15H03821.

Author information

Authors and Affiliations

  1. Graduate School of Pharmaceutical Sciences, Tohoku University, 6-3 Aramaki-Aza-Aoba, Aoba, Sendai, 980-8578, Japan

    Tatsuro Sugawara & Takakazu Nakabayashi

  2. Graduate School of Science, Tohoku University, 6-3 Aramaki-Aza-Aoba, Aoba, Sendai, 980-8578, Japan

    Shin-Ichi Morita

Authors
  1. Tatsuro Sugawara
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Takakazu Nakabayashi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shin-Ichi Morita
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shin-Ichi Morita.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sugawara, T., Nakabayashi, T. & Morita, SI. Generalized Two-dimensional Correlation Analysis for Unimodal Waveforms Modeled by Quadratic Polynomials. ANAL. SCI. 34, 845–847 (2018). https://doi.org/10.2116/analsci.17N040

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2116/analsci.17N040

Keywords

Search

Navigation