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Continuous Wavelet Transform

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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).

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Connecticut, Storrs, CT, 06269-3139, USA

    Robert X. Gao

  2. School of Instrument Science and Engineering, Southeast University, Nanjing, Jiangsu, China, People’s Republic

    Ruqiang Yan

Authors
  1. Robert X. Gao
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  2. Ruqiang Yan
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Correspondence to Robert X. Gao .

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© 2011 Springer Science+Business Media, LLC

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Gao, R.X., Yan, R. (2011). Continuous Wavelet Transform. In: Wavelets. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1545-0_3

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  • DOI: https://doi.org/10.1007/978-1-4419-1545-0_3

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-1544-3

  • Online ISBN: 978-1-4419-1545-0

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