Ap-frames and stationary random processes
Abstract. It is known that, in general, an AP-frame is an L 2 (R)-frame and conversely. Here, in part as a consequence of the Ergodic Theorem, we prove a necessary and su cient condition for a Gabor system {g(t − k)e il(t−k) , l ∈ L = ω0Z, k ∈ K = t0Z} to be an L 2 (R)- Frame in terms of Ga...
Guardado en:
| Autores principales: | , |
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| Formato: | Artículo |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier
2022
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| Materias: | |
| Acceso en línea: | https://repositorio.uca.edu.ar/handle/123456789/15166 |
| Aporte de: |
| id |
I33-R139-123456789-15166 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Católica Argentina |
| institution_str |
I-33 |
| repository_str |
R-139 |
| collection |
Repositorio Institucional de la Universidad Católica Argentina (UCA) |
| language |
Inglés |
| topic |
MARCOS AP PROCESOS Y CAMPOS ALEATORIOS ESTACIONARIOS MATEMATICA |
| spellingShingle |
MARCOS AP PROCESOS Y CAMPOS ALEATORIOS ESTACIONARIOS MATEMATICA Centeno, Hernán D. Medina, Juan M. Ap-frames and stationary random processes |
| topic_facet |
MARCOS AP PROCESOS Y CAMPOS ALEATORIOS ESTACIONARIOS MATEMATICA |
| description |
Abstract. It is known that, in general, an AP-frame is an L
2
(R)-frame and conversely.
Here, in part as a consequence of the Ergodic Theorem, we prove a necessary and su cient
condition for a Gabor system {g(t − k)e
il(t−k)
, l ∈ L = ω0Z, k ∈ K = t0Z} to be an L
2
(R)-
Frame in terms of Gaussian stationary random processes. In addition, if X = (X(t))t∈R
is a wide sense stationary random process, we study density conditions for the associated
stationary sequences {hX, gk,li, l ∈ L, k ∈ K}. |
| format |
Artículo |
| author |
Centeno, Hernán D. Medina, Juan M. |
| author_facet |
Centeno, Hernán D. Medina, Juan M. |
| author_sort |
Centeno, Hernán D. |
| title |
Ap-frames and stationary random processes |
| title_short |
Ap-frames and stationary random processes |
| title_full |
Ap-frames and stationary random processes |
| title_fullStr |
Ap-frames and stationary random processes |
| title_full_unstemmed |
Ap-frames and stationary random processes |
| title_sort |
ap-frames and stationary random processes |
| publisher |
Elsevier |
| publishDate |
2022 |
| url |
https://repositorio.uca.edu.ar/handle/123456789/15166 |
| work_keys_str_mv |
AT centenohernand apframesandstationaryrandomprocesses AT medinajuanm apframesandstationaryrandomprocesses |
| bdutipo_str |
Repositorios |
| _version_ |
1764820525591298052 |