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

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Article number	1523479
Journal	IEEE International Symposium on Information Theory - Proceedings
Volume	2005-January
DOIs	https://doi.org/10.1109/ISIT.2005.1523479
State	Published - 2005
Event	2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia Duration: 4 Sep 2005 → 9 Sep 2005

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10.1109/ISIT.2005.1523479

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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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DO - 10.1109/ISIT.2005.1523479

M3 - Artículo de la conferencia

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VL - 2005-January

JO - IEEE International Symposium on Information Theory - Proceedings

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M1 - 1523479

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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