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https://repositorio.uca.edu.ar/handle/123456789/15166
Título : | Ap-frames and stationary random processes | Autor : | Centeno, Hernán D. Medina, Juan M. |
Palabras clave : | MARCOS AP; PROCESOS Y CAMPOS ALEATORIOS ESTACIONARIOS; MATEMATICA | Fecha de publicación : | 2022 | Editorial : | Elsevier | Cita : | Centeno, H. D., Medina, J. M. Ap-frames and stationary random processes [en línea]. Applied and Computational Harmonic Analysis. 2022 (61). doi: https://doi.org/10.1016/j.acha.2022.05.002. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/15166 | Resumen : | 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}. | URI : | https://repositorio.uca.edu.ar/handle/123456789/15166 | ISSN : | 1063-5203 | Disciplina: | INGENIERIA | DOI: | 10.1016/j.acha.2022.05.002 | Derechos: | Acceso restringido |
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