Influence Of The Non-Linearity Weighting Function On The Vander Lugt Correlation

Nazif Demoli

doi:10.1117/12.934907

13 December 1983 Influence Of The Non-Linearity Weighting Function On The Vander Lugt Correlation

Nazif Demoli

Proceedings Volume 0370, Holographic Data Nondestructive Testing; (1983) https://doi.org/10.1117/12.934907
Event: Holographic Data Nondestructive Testing, 1982, Dubrovnik, Croatia

Abstract

The influence of the non-linearity weighting function of a matched spatial filter (MSF) on the Vander Lugt frequency plane correlation is analysed. A pure correlation of two signals is convolved with the Fourier transformed non-linearity weighting function of the MSF which is due to the non-linear behaviour of the recording media used. The transfer function of the recording material is depicted by the transmittance vs exposure (t - E) curve, which is described by means of the Taylor series expansion and approximated by commonly used polynomials, or by some analytic functions. For investigating the output correlation amplitude distribution, certain analytic approximations of the t E curve appear better suited than others. A tractable model was obtained through the application of the direct method and the transform method analysis of the Taylor series coefficients.

Citation Download Citation

Nazif Demoli "Influence Of The Non-Linearity Weighting Function On The Vander Lugt Correlation", Proc. SPIE 0370, Holographic Data Nondestructive Testing, (13 December 1983); https://doi.org/10.1117/12.934907

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