Further insights on 2D-correlation theory

Wang, Haochuan; Palmer, Richard A.
March 2000
AIP Conference Proceedings;2000, Vol. 503 Issue 1, p41
Academic Journal
Two-dimensional (2D) spectral correlation developed by Noda has gained much attention in the spectroscopic community. The theory has been improved tremendously from its original stage, and many varied applications to the analysis of infrared (IR), Raman, near infrared (NIR) spectra, and to spectral changes as a function not only of time but also of pressure, temperature, and concentration have been reported. However, the popularity of such a versatile method has been hindered by a lack of widespread understanding of the principles of the 2D-correlation method. It is the objective of this paper to re-emphasize the relationship of the 2D spectral correlation method to the more general theory of signal correlation analysis. The reader will see that 2D spectral correlation is rooted firmly in the fundamental knowledge of classic correlation analysis, which has long been well established and widely used by mathematicians, statisticians, and signal processing engineers. By explaining clearly how both the synchronous map and the asynchronous map are special variations of classic correlation analysis, we intend to make it clear why the synchronous map shows coincidental changes of spectral intensities at two spectral frequencies and why the asynchronous map shows unsynchronized spectral changes at two spectral frequencies. Practical calculation of 2D-correlation will also be discussed. © 2000 American Institute of Physics.


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