課程介紹

本課程目標在於使學生了解機率的相關理論及其應用, 並提供學習者未來修習其他電機課程之理論基礎. 課程內容包含

    

  (1) The axioms of probability

  (2) Discrete random variable: PMF

  (3) Continuous random variable: CDF and PDF

  (4) Vector random variables: joint PMF, CDF, and PDF   

  (5) Sum of random variables
教科書:

主要教科書:

Alberto Leon-Garica, Probability and Random Processes for Electrical Engineering, 3rd ed. Addison-Wesley. (全華圖書)
教學進度:

1st week: syllabus, Introduction to probability (Chapter 1)

 2nd week: Probability axioms, sample space, event, permutation, (Chapter 2)

 3rd week: Conditional probability, independent events, total probability, Bayes’rule

 4th week: Discrete random variable (RV) and PMF (Chapter 3)

 5th week: Expected and Variance of RV, conditional PMF (HW #1, due)

 6th week: Some important discrete random variable

 7th week: Continuous RV, CDF, and PDF (Chapter 4, HW #2, due)

 8th week: Some important RV, Gaussian RV (HW #3, due)

 9th week: 11/6期中考 (Chapter 2, 3, and 4)

10th week: Function of a random variable

11th week: Markov and Chebyshev inequality, and transform method

12th week: Two random variables and joint CDF and PDF (Chapter 5, HW #4, due),

13th week: Conditional CDF and PDF, independence

14th week: Functions of two RVs, Gaussian RVs (HW #5, due)

15th week: Vector random variables (Chapter 6)

16th week: Functions of RV, jointly Gaussian (HW #6, due)

17th week: no class on 1/1

18th week: 01/8期末考 (Chapter 4, 5, 6)
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