22 June 2004 Phase detection for vibration measurements based on test functions
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Proceedings Volume 5503, Sixth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications; (2004) https://doi.org/10.1117/12.579765
Event: Sixth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 2004, Ancona, Italy
Abstract
This paper presents special non-linear methods for phase detection for vibration measurements based on laser signals and on test-functions. First are presented mathematical aspects of high-intensity optical pulses (such as the pulse generated by the photonic echo phenomenon), being shown that the only mathematical possibility of simulating such pulses is represented by the use of test-functions (well-known from the mathematical theory of distributions). Then are studied test functions from the generating possibilities point of view, being shown that systems described by differential equations can generate only some functions similar to test-functions, called "practical test-functions." The advantages of using them in filtering and sampling procedures is also presented, and further are studied differential equations of first and second order able to generate such functions. Finally are presented possibilities of using systems described by such differential equations for processing the signal generated by photodetectors when laser signals are received, and filtering possibilities in case of detectors placed in a vibrational environment are shown. Due to the existence of non-linear equations, the output of such filtering systems is very sensitive at the phase of an input alternating component, being recommended to use them for phase detection.
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Andreea-Rodica P. Sterian, Andreea-Rodica P. Sterian, Cristian I. Toma, Cristian I. Toma, "Phase detection for vibration measurements based on test functions", Proc. SPIE 5503, Sixth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, (22 June 2004); doi: 10.1117/12.579765; https://doi.org/10.1117/12.579765
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