Wavelet transformation: theory and engineering applications

摘要

The wavelet transformation (WT) overcomes the limitations of Fourier Transformation (FT). In comparison to FT, where only the global information is available, WT provides the local information by projecting the signal into the time-frequency plane. This makes WT a powerful signal analysis tool; but the effective use of wavelet is impeded due to the complex mathematical framework. This paper provides an easy-to-understand reading on the theory of wavelet, avoidig mathematical complexity. The powerful capabilities of wavelet coefficients are explored. Three examplex demonstrate the application of WT in the areas of vibration analysis and manufacturing fault diagnosis. Therefore, this paper will be very interesting to engineers to understand the theory, implementation, and application of WT.