George W. Pan
Abstract
In this chapter we present the basic orthogonal wavelet theory. We construct many orthogonal wavelets that are continuous and may even be smooth functions. The study of orthogonal wavelets begins with the MRA. We begin by showing how an orthonormal basis of wavelets can be constructed starting from such a multiresolution analysis.
OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this chapter we present the basic orthogonal wavelet theory. We construct many orthogonal wavelets that are continuous and may even be smooth functions. The study of orthogonal wavelets begins with the MRA. We begin by showing how an orthonormal basis of wavelets can be constructed starting from such a multiresolution analysis.
Key concepts: Wavelet, Legendre wavelet, Orthonormal basis, Multiresolution analysis, Orthogonal wavelet, Orthogonal basis, Fast wavelet transform, Construct (python library)