SAMPLING-RECONSTRUCTION PROCEDUREOFGAUSSIAN PROCESSESWITHTHEDEPENDENTJITTER
Vladimir Kazakov, S. Daniel Rodriguez · 2005
Thispaper isdevoted tothespecial statistical problem ofthetime synchronization inmanymodern digital systems. Weinvestigate theSampling-Reconstruction Procedure (SRP) ofGaussian processes whenthe instant times ofsamples arerandomly changed. This effect isknownasjitter. Werestrict ourinterest tothejoint jitter ofanytwosamples. Itmeansthat thejitter effect isdescribed byatwo-dimensional probability density function (pdf). Twodifferent pdfareused inthis paper: Gaussian andthedistribution obtained byMcFadden. Wegettheerror reconstruction functions forboth samples. Theinfluence ofdifferent parameters ontheerror reconstruction functions isinvestigated indetail. Someexamples arepresented andtheresults arecompared whentheparameter ofthe twojitter distributions arethesame.