Use Of Homomorphic Signal Processing Techniques For The Estimation Of Absorbance Spectra As Encountered In Fourier Transform Spectroscopy.

D. J. Gingras

doi:10.1117/12.948501

23 February 1988 Use Of Homomorphic Signal Processing Techniques For The Estimation Of Absorbance Spectra As Encountered In Fourier Transform Spectroscopy.

D. J. Gingras

Author Affiliations +

Proceedings Volume 0975, Advanced Algorithms and Architectures for Signal Processing III; (1988) https://doi.org/10.1117/12.948501
Event: 32nd Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1988, San Diego, CA, United States

Abstract

In this paper, we describe a method, using homomorphic signal processing (HSP) techniques for the computation of absorbance spectra as encountered in Fourier Transform Spectroscopy (FTS). These techniques have found already applications in a number of fields including image enhancement, speech and geophysics signal processing. They are based on a generalization of the class of linear operators. Linear systems are easy to analyse and are particularly useful in separating signals combined by addition which is a direct consequence of the property of superposition. In this paper, we will see that the nonlinearity of the transmittance model, introduced to describe the attenuation of the radiation through the sample medium, belongs to the class of nonlinear systems which obey a generalized principle of superposition. They are known as homomorphic systems. The two main practical types of homomorphic systems are the one for multiplication (logarithm operator) and the one for convolution (Z transform).

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D. J. Gingras "Use Of Homomorphic Signal Processing Techniques For The Estimation Of Absorbance Spectra As Encountered In Fourier Transform Spectroscopy.", Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); https://doi.org/10.1117/12.948501

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