Sampling-reconstruction procedure with jitter of Gaussian processes

Vladimir A. Kazakov; S. Daniel Rodríguez

doi:10.1109/ISIT.2005.1523479

Sampling-reconstruction procedure with jitter of Gaussian processes

Vladimir A. Kazakov, S. Daniel Rodríguez

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

Resumen

The general approach of the statistical description of the Sampling-Recosntruction Procedure (SRP) with jitter of Gaussian processes with an arbitrary number of samples is given. The analisys is based on the conditional mean rule. We consider the classification of all known mathematical models of jitter and describe the statistical average procedure in order to find the principal SRP characteristics with Jitter: the reconstruction function and the error reconstruction function. We suggest the new interpretation of the reconstruction schemes on the basis of the kinetic equations for non-Markov processes. Some non-trivial examples are given.

Idioma original	Inglés
Número de artículo	1523479
Publicación	IEEE International Symposium on Information Theory - Proceedings
Volumen	2005-January
DOI	https://doi.org/10.1109/ISIT.2005.1523479
Estado	Publicada - 2005
Evento	2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia Duración: 4 sep. 2005 → 9 sep. 2005

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abstract = "The general approach of the statistical description of the Sampling-Recosntruction Procedure (SRP) with jitter of Gaussian processes with an arbitrary number of samples is given. The analisys is based on the conditional mean rule. We consider the classification of all known mathematical models of jitter and describe the statistical average procedure in order to find the principal SRP characteristics with Jitter: the reconstruction function and the error reconstruction function. We suggest the new interpretation of the reconstruction schemes on the basis of the kinetic equations for non-Markov processes. Some non-trivial examples are given.",

author = "Kazakov, {Vladimir A.} and {Daniel Rodr{\'i}guez}, S.",

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AB - The general approach of the statistical description of the Sampling-Recosntruction Procedure (SRP) with jitter of Gaussian processes with an arbitrary number of samples is given. The analisys is based on the conditional mean rule. We consider the classification of all known mathematical models of jitter and describe the statistical average procedure in order to find the principal SRP characteristics with Jitter: the reconstruction function and the error reconstruction function. We suggest the new interpretation of the reconstruction schemes on the basis of the kinetic equations for non-Markov processes. Some non-trivial examples are given.

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JO - IEEE International Symposium on Information Theory - Proceedings

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T2 - 2005 IEEE International Symposium on Information Theory, ISIT 05

Y2 - 4 September 2005 through 9 September 2005

ER -

Sampling-reconstruction procedure with jitter of Gaussian processes

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