Wavelets pp 33-48 | Cite as

Continuous Wavelet Transform



Wavelet transform is a mathematical tool that converts a signal into a different form. This conversion has the goal to reveal the characteristics or “features” hidden within the original signal and represent the original signal more succinctly. A base wavelet is needed in order to realize the wavelet transform. The wavelet is a small wave that has an oscillating wavelike characteristic and has its energy concentrated in time. Figure 3.1 illustrates a wave (sinusoidal) and a wavelet (Daubechies 4 wavelet) (Daubechies 1992).


Wavelet Coefficient Inverse Fourier Transform Wavelet Function Base Wavelet Continuous Wavelet Transform 
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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of ConnecticutStorrsUSA
  2. 2.School of Instrument Science and EngineeringSoutheast UniversityNanjingChina, People’s Republic

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