Sampling in the radial configuration with jitter of Gaussian Fields

The optimum sampling-reconstruction procedure of Gaussian fields with jitter is described on the basis of the conditional mean rule when the quantity of samples is limited. Jitter is only presented in some samples. Moreover, the jitter of each sample is independent and can have the same or different distribution law. The statistical average is applied to the conditional mean rule with regard to the random position of samples in order to analyze jitter effects in Gaussian fields when samples are in a radial configuration. The surfaces of the optimum error reconstruction functions are calculated in the whole space domain. The applied method provides the possibility of considering to each sample with its own type of jitter probability density function.