Application of Fourier and wavelet transform methods for information processing and compression

Objective: To consider the need to improve the detection of signs of escalator defects in the early stages. To develop and improve methods of test and functional diagnostics of escalators. To propose methods of digital signal processing. To develop the correct interpretation of the signal processing results. Methods: Digital signal processing methods are used: Fourier transforms and wavelet transforms. A comparison of Fourier and wavelet transform methods is presented. The possibility of their successful application for signal processing is shown. The need to improve the parameters of these techniques is indicated. Results: The successful application of digital signal processing methods is shown: Fourier transforms for the analysis of stationary signals and wavelet transforms for the analysis of non–stationary signals. Practical significance: Fourier transform and wavelet analysis allow us to identify changes in the nature of oscillations to varying degrees. Each method has its own advantages. The Fourier transform method is easier to use. The wavelet transform method has undoubted advantages due to the stretched and shifted wavelet functions for processing complex non–stationary signals that change over time. The advantage of the wavelet method is also that the particular wavelet functions are localized in space. The wavelet function was used for wavelet processing, however, today the Fourier transform method is more common due to its technical simplicity and a longer period of technical use. This article should contribute to a broader technical application of the wavelet transform.

Authors: S. G. Podkletnov

Direction: Informatics, Computer Technologies And Control

Keywords: Fourier transform, wavelet transform, digital signal processing, information compression, Daubechies wavelets

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