1- https://doi.org/10.1007/978-3-319-25613-9_12
Gabor Frames and Duality
- Jan 1, 2016
- Ole Christensen
Abstract
The main issue in Chapter 11 was to state necessary and/or sufficient conditions for a Gabor system \(\{E_{mb}T_{na}g\}_{m,n\in \mathbb{Z}}\) in \(L^{2}(\mathbb{R})\) to form a frame. We will now take the next step and consider Gabor frames that are convenient to apply in practice. From the general frame theory in Chapter 5 and Chapter 6 we know that frames are particularly useful when the frame decomposition takes a simple form, which is the case if either the frame is tight or we have access to a convenient dual frame.
- # Gabor Frames
- # Frame Decomposition
- # Simple Form
- # General Theory
- # Gabor System
- # Dual Frame
- # General Frame
- # Frame Theory
- # Sufficient Conditions
