Page Transform as Power Tool to Analyses to Analyses of Railway Structures

Page Transform as Power Tool to Analyses to Analyses of Railway Structures

článek ve sborníku ve WoS nebo Scopus

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Analysis of complex vibrations normally takes the form of presentation of components frequencies related to their amplitudes, or a presentation of how the amplitude of specific signal varies with time. For a full understanding of vibrations, generated by a passing train (acts by generally non-stationary signals), is needed a simultaneous three-dimensionally (or contour) presentation, showing the occurrence of different frequencies related to time. Page distribution presents a suitable transform method that gives perfect distinction in time and frequency areas. The Page transform which belongs into the quadratic time-frequency distributions covariant by shift in time and in frequency, offers a wide set of powerfull tools to analyse non-stationary signals. The basic idea is to devise a joint function of time and frequency that describes the energy density or intenzity of a signal simultanneously in time and in frequency.

Analysis of complex vibrations normally takes the form of presentation of components frequencies related to their amplitudes, or a presentation of how the amplitude of specific signal varies with time. For a full understanding of vibrations, generated by a passing train (acts by generally non-stationary signals), is needed a simultaneous three-dimensionally (or contour) presentation, showing the occurrence of different frequencies related to time. Page distribution presents a suitable transform method that gives perfect distinction in time and frequency areas. The Page transform which belongs into the quadratic time-frequency distributions covariant by shift in time and in frequency, offers a wide set of powerfull tools to analyse non-stationary signals. The basic idea is to devise a joint function of time and frequency that describes the energy density or intenzity of a signal simultanneously in time and in frequency.

Analysis of complex vibrations normally takes the form of presentation of components frequencies related to their amplitudes, or a presentation of how the amplitude of specific signal varies with time. For a full understanding of vibrations, generated by a passing train (acts by generally non-stationary signals), is needed a simultaneous three-dimensionally (or contour) presentation, showing the occurrence of different frequencies related to time. Page distribution presents a suitable transform method that gives perfect distinction in time and frequency areas. The Page transform which belongs into the quadratic time-frequency distributions covariant by shift in time and in frequency, offers a wide set of powerfull tools to analyse non-stationary signals. The basic idea is to devise a joint function of time and frequency that describes the energy density or intenzity of a signal simultanneously in time and in frequency.

Time-frequency representation, Wigner-Ville transform, Page transform

25.06.2001

University of Zilina, Slovak Republic

80-7100-852-4

Transcom 2001, 4-th European Conference of Young Research and Science Workers in Transport and Telecomunications

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