Titlebook: Ripples in Mathematics; The Discrete Wavelet Arne Jensen,Anders Cour-Harbo Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Matrix.Sign

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Introduction,at the book should be accessible to readers with rather modest mathematical prerequisites. Another reason is that for readers with good mathematical prerequisites there exists a large number of excellent books presenting the continuous (and often also the discrete) versions of the wavelet transform.

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Analysis of Synthetic Signals,owed 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.

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Introduction,e examples of applications are given, and the implementation on the computer is described in detail. The book is limited to the discrete wavelet transform, which means that the continuous version of the wavelet transform is not presented at all. One of the reasons for this choice is the intention th

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Analysis of Synthetic Signals,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, foll

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