Summary

You should now be able to:

  • Describe the concept of random experiment, probability and conditional probability.
  • Calculate the probability of events.
  • Describe and characterize random variables, and calculate probabilities using the probability density function.
  • Characterize sets of independent random variables with the joint probability density function.
  • Describe what is a “random process” or “random signal”.
  • Describe the meaning of stationarity and ergodicity.
  • Given a LTI system with random input, calculate moments of the output, the cross-correlation function of the input and the output, and the autocorrelation function of the output, using the impulse response of the system.
Project

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This resource was developed as part of an Erasmus+ project, funded with support from the European Commission under grant agreement 2016-1-SE01-KA203-22064.

The project was a collaboration between:

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Contact

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If you would like more information on this resource please contact:

  • Academic content – The University of Alcalá (www.uah.es/en/)
  • Technical resource development – The University of the Highlands and Islands Educational Development Unit - EDU (edu@uhi.ac.uk)
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Except where otherwise noted, this website is licensed under Creative Commons license CC-BY-SA 4.0. All images used under permission remain the copyright of the license holder.

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