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

Vladimir A. Kazakov; Daniel Rodríguez S.

doi:10.1117/12.795353

5 March 2008 Sampling-reconstruction procedure of Gaussian processes with the mutual statistical connection between all couples of samples

Vladimir A. Kazakov, Daniel Rodríguez S.

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Proceedings Volume 7009, Second International Conference on Advanced Optoelectronics and Lasers; 70091O (2008) https://doi.org/10.1117/12.795353
Event: Second International Conference on Advanced Optoelectronics and Lasers, 2005, Yalta, Ukraine

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.

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Vladimir A. Kazakov and Daniel Rodríguez S. "Sampling-reconstruction procedure of Gaussian processes with the mutual statistical connection between all couples of samples", Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70091O (5 March 2008); https://doi.org/10.1117/12.795353

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KEYWORDS

Error analysis

Process modeling

Integrated circuit design

Integrated circuits

Stochastic processes

Integration

Electrical engineering

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