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Wavelets pp 33-48 | Cite as

Continuous Wavelet Transform

Chapter

Abstract

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).

Keywords

Wavelet Coefficient Inverse Fourier Transform Wavelet Function Base Wavelet Continuous Wavelet Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© 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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