Chapter VIII.1. Mathematical background

Table of Contents

VIII.1.1. Wavelet bases
VIII.1.2. The wavelets implemented in KW
VIII.1.2.1. Minimal support orthogonal Daubechies wavelets
VIII.1.2.2. Quasi-interpolating orthogonal Coiflets
VIII.1.2.3. More regular low-order orthogonal Coiflets
VIII.1.2.4. Dual-tree complex Q-Shift wavelets or Kingslets
VIII.1.2.5. Dual-tree complex Selesnick wavelets

VIII.1.1. Wavelet bases

VIII.1.2. The wavelets implemented in KW

VIII.1.2.1. Minimal support orthogonal Daubechies wavelets

These wavelets were introduced in the following reference:

I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure and Appl. Math, 41, 1988 p.909-996

VIII.1.2.2. Quasi-interpolating orthogonal Coiflets

VIII.1.2.3. More regular low-order orthogonal Coiflets

VIII.1.2.4. Dual-tree complex Q-Shift wavelets or Kingslets

VIII.1.2.5. Dual-tree complex Selesnick wavelets