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19D031DSP - Discrete Random Processes in Telecommunications

Course specification
Course title Discrete Random Processes in Telecommunications
Acronym 19D031DSP
Study programme Electrical Engineering and Computing
Module
Type of study doctoral studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition no prerequisite
      The goal To provide students understanding of discrete random processes and its applications in telecommunications.
      The outcome At the end of the course, the students will be able to use the basic tools of probability, statistics and discrete random processes in further research.
      Contents
      Contents of lectures Randomness in telecommunications. Multi-dimensional distributions. Orthogonality and cyclostacionarity. Gaussian rand Poisson random processes. Renewal processes. Markov random process. Markov chains. The application of Markov models for communication channel description. Stochastic computing and stochastic algorithms. Reliability analysis for systems made of unreliable components.
      Contents of exercises Homeworks, project with presentation.
      Literature
      1. A. Papoulis, Probability, Random Variables, and Stohastic Processes, 2nd ed., McGraw Hill Book Company, 1986. (Original title)
      2. R. Gallager, Discrete Stochastic Processes, Springer, 1996. (Original title)
      3. J. F. Collet, Discrete Stochastic Processes and Applications, Springer, 2018. (Original title)
      4. W. J. Gross, V. C. Gaudet, Stochastic Computing: Techniques and Applications, Springer, 2019. (Original title)
      5. P. Brémaud, Discrete Probability Models and Methods: Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding (Probability Theory and Stochastic Modelling), Springer, 2017. (Original title)
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      8
      Methods of teaching Lectures, homeworks, project with presentation.
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures 0 Test paper 30
      Practical lessons 0 Oral examination 0
      Projects
      Colloquia 0
      Seminars 70