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Erschienen in:
2001 | OriginalPaper | Buchkapitel
Analysis of Synthetic Signals
verfasst von : Arne Jensen, Anders la Cour-Harbo
Erschienen in: Ripples in Mathematics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The discrete wavelet transform has been introduced in the previous two chapters. The general lifting scheme, as well as some examples of transforms, were presented, and we have seen one application to a signal with just 8 samples. In this chapter we will apply the transform to a number of synthetic signals, in order to gain some experience with the properties of the discrete wavelet transform. We will process some signals by transformation, followed by some alteration, followed by inverse transformation, as we did in Chap. 2 to the signal with 8 samples. Here we use significantly longer signals. As an example, we will show how this approach can be used to remove some of the noise in a signal. We will also give an example showing how to separate slow and fast variations in a signal.