Cargando…
The abc-problem for Gabor systems /
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices a\mathbb{Z}\times b\mathbb{Z} and ideal window functions \chi_I on intervals I of length c such that \{e^{-2\pi i n bt} \chi_I(t- m a):\ (m, n)\in \mathbb{Z}\times \mathbb{Z}\} are Gabor frames for the space of al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1152. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Gabor frames and infinite matrices
- Maximal invariant sets
- Piecewise linear transformations
- Maximal invariant sets with irrational time shifts
- Maximal invariant sets with rational time shifts
- The abc-problem for Gabor systems
- Appendix A. Algorithm
- Appendix B. Uniform sampling of signals in a shift-invariant space
- Bibliography.