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Proceedings Paper

Use Of Homomorphic Signal Processing Techniques For The Estimation Of Absorbance Spectra As Encountered In Fourier Transform Spectroscopy.
Author(s): D. J. Gingras
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Paper 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).

Paper Details

Date Published: 23 February 1988
PDF: 10 pages
Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); doi: 10.1117/12.948501
Show Author Affiliations
D. J. Gingras, Ruhr-Universitat Bochum (Germany)

Published in SPIE Proceedings Vol. 0975:
Advanced Algorithms and Architectures for Signal Processing III
Franklin T. Luk, Editor(s)

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