Characteristics of the inner product calculation in high-speed signal analysis

George D. Catalano

doi:10.1117/12.386748

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22 May 2000 Characteristics of the inner product calculation in high-speed signal analysis

George D. Catalano

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Proceedings Volume 4072, Fourth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications; (2000) https://doi.org/10.1117/12.386748
Event: 4th International Conference on Vibration Measurement by Laser Techniques, 2000, Ancona, Italy

Abstract

In the present investigation, the characteristics of the integrated inner product calculation as a function of Doppler frequency present in signal analysis have been explored. The integrated inner produce is an estimate of the distance measurement in space or time between the reference signal and the target signal. Various techniques have been examined with the underlying goal to increase the speed of the actual calculations and possible interpretations for varying scaling and translation parameters. The integrated linear productor distance measurement as a function of scaling, translation and frequency is shown graphically. All computations and graphical depictions are performed using Mathematica.

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George D. Catalano "Characteristics of the inner product calculation in high-speed signal analysis", Proc. SPIE 4072, Fourth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, (22 May 2000); https://doi.org/10.1117/12.386748

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KEYWORDS

Signal analysis

Distance measurement

Doppler effect

Integration

Signal processing

Wavelets

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