Orthonormal families - PowerPoint PPT Presentation

Extensions

Extensions. 1. Bi-orthogonal wavelets. 2. Wavelets on an interval. 3. Wavelets on the plane. 4. Wavelets on curves and surfaces. 5. Lifting. Deficiency 1: lack of symmetry. Box:. symmetric about. Haar:. symmetric about. Theorem: (D). Haar family.

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Signals Through Linear Shift-Invariant Systems

Signals Through Linear Shift-Invariant Systems. Definitions. A system (operator) H is called linear if for every two signals and constants a,b : A system (operator ) H is called shift-invariant (or time-invariant) if for each signal :

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