NDLI: Construction of Wavelets

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Construction of Wavelets

Content Provider	Scilit
Author	Prasad, L. Iyengar, S. S.
Copyright Year	2020
Description	So far, we have discussed wavelets abstractly through their properties. The question that naturally arises is whether it is possible to systematically construct wavelet bases with certain desired properties. In this chapter, we will discuss an important method of construction of wavelets of arbitrary smoothness. As we have noted before, there is quite a bit of freedom that we may exercise in choosing the wavelet function generating a wavelet basis. Therefore, the specific choice and the method of construction of a wavelet function depends on the requirements and motivation for its construction. We first explore a rich arsenal of functions giving rise to wavelets, namely spline functions. Next, we take a signal processing perspective and study the fast wavelet algorithm discussed in the previous chapter from this point of view. We then construct two important classes of compactly supported wavelet bases, namely the compactly supported orthonormal and the biorthogonal wavelet bases. These wavelet bases give rise to FIR and linear phase FIR subband filtering schemes, respectively. We obtain characterizations of such subband filtering schemes arising from these wavelet bases. Book Name: WAVELET ANALYSIS with Applications to IMAGE PROCESSING
Related Links	https://content.taylorfrancis.com/books/download?dac=C2006-0-06020-7&isbn=9780367811310&doi=10.1201/9780367811310-6&format=pdf
Ending Page	213
Page Count	73
Starting Page	141
DOI	10.1201/9780367811310-6
Language	English
Publisher	Informa UK Limited
Publisher Date	2020-01-29
Access Restriction	Open
Subject Keyword	Book Name: Wavelet Analysis with Applications To Image Processing Artificial Intelligence Fir Wavelet Functions Filtering Construction Rise Subband Schemes Chapter Compactly
Content Type	Text
Resource Type	Chapter

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