On the Papoulis Sampling Theorem: Some General Conditions
| Autor: | Juan Miguel Medina, Bruno Cernuschi-Frias |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Ingeniería de Sistemas y Comunicaciones
Stationary process FRAMES Stochastic process MULTI-CHANNEL SAMPLING Mathematical analysis Hilbert space Spectral density Sampling (statistics) 020206 networking & telecommunications HILBERT SPACES INGENIERÍAS Y TECNOLOGÍAS 02 engineering and technology Library and Information Sciences Absolute continuity Computer Science Applications symbols.namesake Frequency domain 0202 electrical engineering electronic engineering information engineering symbols STATIONARY SEQUENCES Nyquist–Shannon sampling theorem Ingeniería Eléctrica Ingeniería Electrónica e Ingeniería de la Información Information Systems Mathematics |
| Zdroj: | IEEE Transactions on Information Theory. 64:6722-6730 |
| ISSN: | 1557-9654 0018-9448 |
| DOI: | 10.1109/tit.2018.2859320 |
| Popis: | Some general conditions for multichannel sampling are established for wide sense stationary sequences with spectral density. First, necessary and sufficient conditions are given for these processes so that they are linearly determined by the samples obtained from a multichannel sampling scheme. Some results are studied for stationary sequences and then applied to the problem of sampling, not necessarily band limited, wide sense stationary processes. Conditions are also given for the existence of a frame sequence of the samples. In the case of frames, the condition that the spectral measure is absolutely continuous is proved to be necessary. Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires; Argentina Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires; Argentina |
| Databáze: | OpenAIRE |
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