Sampling-reconstruction Procedure of Gaussian processes with the dependent jitter

Vladimir A. Kazakov, Daniel S. Rodríguez

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 publicationProceedings of LFNM 2005
Subtitle of host publication7th International Conference on Laser and Fiber-Optical Networks Modeling
Pages252-255
Number of pages4
DOIs
StatePublished - 2005
Externally publishedYes
EventLFNM 2005: 7th International Conference on Laser and Fiber-Optical Networks Modeling - Crimea, Ukraine
Duration: 15 Sep 200517 Sep 2005

Publication series

NameProceedings of LFNM 2005: 7th International Conference on Laser and Fiber-Optical Networks Modeling
Volume2005

Conference

ConferenceLFNM 2005: 7th International Conference on Laser and Fiber-Optical Networks Modeling
Country/TerritoryUkraine
CityCrimea
Period15/09/0517/09/05

Keywords

  • Dependent jitter
  • Gaussian process
  • Reconstruction
  • Sampling

Fingerprint

Dive into the research topics of 'Sampling-reconstruction Procedure of Gaussian processes with the dependent jitter'. Together they form a unique fingerprint.

Cite this