Sampling-reconstruction procedure of Gaussian processes with the mutual statistical connection between all couples of samples

Vladimir A. Kazakov, Daniel Rodríguez S.

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper is devoted to the special statistical problem of the time synchronization in many modern digital systems. We investigate the Sampling-Reconstruction Procedure (SRP) of Gaussian processes when the instant times of samples are randomly changed. This effect is known as jitter. We restrict our interest to the joint jitter of any two samples. It means that the jitter effect is described by a two-dimensional probability density function (pdf). Two different pdf are used in this paper: Gaussian and the distribution obtained by McFadden. We get the error reconstruction functions for both samples. The influence of different parameters on the error reconstruction functions is investigated in detail. Some examples are presented and the results are compared when the parameter of the two jitter distributions are the same.

Original languageEnglish
Title of host publicationSecond International Conference on Advanced Optoelectronics and Lasers
DOIs
StatePublished - 2008
Externally publishedYes
Event2nd International Conference on Advanced Optoelectronics and Lasers, CAOL 2005 - Yalta, Ukraine
Duration: 12 Sep 200517 Sep 2005

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7009
ISSN (Print)0277-786X

Conference

Conference2nd International Conference on Advanced Optoelectronics and Lasers, CAOL 2005
Country/TerritoryUkraine
CityYalta
Period12/09/0517/09/05

Keywords

  • Dependent jitter
  • Gaussian processes
  • Reconstruction
  • Sampling

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