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Statistical Method to Evaluate the Amplitude of Cyclical Noisy Signal in IR Thermography

Comparing temporal energy distribution of noise with that of noisy signals allows the evaluation of a periodical noisy signal amplitude

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Advances in Signal Processing for Nondestructive Evaluation of Materials

Part of the book series: NATO ASI Series ((NSSE,volume 262))

Abstract

Noise rejection is of primordial importance in Thermoelasticimetry. The evaluation of stresses by means of the thermoelastic effect requires high accuracy measurement of the dynamic temperature changes of a sample under cyclic mechanical loading. One has chosen a statistical method to reject the noise of sinusoidal signals (quite important for a standard infrared camera (0,05 K)) and to estimate their amplitudes. Digital treatment of a series of thermographic images allows for the calculation of the temporal distribution of every pixel.

Without loading, these distributions are similar to the Gaussian distribution of a white noise. Under cyclical loading one obtains the distribution of the sum of sinusoidal signal and white noise. Therefore this distribution is wider than the Gaussian one. Its width is a function of the signal amplitude. Thus, comparing both distributions, it is possible to estimate the amplitude of the cyclic signal.

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© 1994 Springer Science+Business Media Dordrecht

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Offermann, S., Merienne, E., Beaudoin, J.L. (1994). Statistical Method to Evaluate the Amplitude of Cyclical Noisy Signal in IR Thermography. In: Maldague, X.P.V. (eds) Advances in Signal Processing for Nondestructive Evaluation of Materials. NATO ASI Series, vol 262. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1056-3_4

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  • DOI: https://doi.org/10.1007/978-94-011-1056-3_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4459-2

  • Online ISBN: 978-94-011-1056-3

  • eBook Packages: Springer Book Archive

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