Finding the probability distribution functions of S-parameters and their monte carlo simulation

Sedig Salem Agili, Aldo W. Morales, Ji Li, Michael Resso

Research output: Contribution to journalArticle

6 Scopus citations


This paper presents the probability distribution function (PDF) of the ratio of two random waves. This result is used to obtain the PDF of S-parameters random errors in magnitude (in decibels) and phase, which are the quantities that most engineers work with. These results are further used on the development of a Monte Carlo simulation method in order to predict the variability of frequency-domain measurements. Experiments are performed to identify and characterize frequency-domain random errors, such as instrument noise, connector repeatability, and calibration variations, in measurement systems. By comparing with real measurement data, it is shown that random-error effects can be accurately estimated by the PDF's obtained and the Monte Carlo technique.

Original languageEnglish (US)
Article number6246705
Pages (from-to)2993-3002
Number of pages10
JournalIEEE Transactions on Instrumentation and Measurement
Issue number11
Publication statusPublished - Jul 27 2012


All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Electrical and Electronic Engineering

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