The general approach of the statistical description of the sampling-reconstruction procedure (SRP) with jitter of Gaussian processes with an arbitrary number of samples is given. The analysis 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… (More)
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… (More)
A simple method of decreasing the error probability for the reception of codewords of systematic codes is presented. In order to detect each symbol in a codeword we use different a priori probabilities for the redundant symbols and equal a priori probabilities for the message symbols. Optimal thresholds are calculated to detect the redundant symbols. The… (More)
The sampling - reconstruction procedure (SRP) of a non Gaussian process at the output of the non linear non inertial converter driven by Gaussian process is considered. The type of the converter is exponential. The principal SRP characteristics (the reconstruction function and the error reconstruction function) are investigated for two different… (More)
SUMMARY In this paper the properties of the wealth function of an economic system are studied. An economic analog of the Gibbs-Duhem equation is derived. Equilibrium states and limiting profit extraction regimes in non-equilibrium economic systems are obtained for the Cobb-Douglas wealth function.
The kinetic equation for the non-Markovian stochastic process is applied for f inding of the output probability density function of some multidimen-sional analog f ilters. The output probability density function of the one-dimensional integrated RC circuit driven by the sum of the white noise and the binary Markovian process is found. The nontrivial problem… (More)