Stochastic Processes - 105 Academic Year

本課程是由 國立陽明交通大學電機工程學系 提供。

This course intends to provide students with the necessary (fundamental and advanced) background on random processes.

Textbook:Athanasios Papoulis & S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes. Fourth edition, Mc Graw Hill, 2002.

For perfect learning results, please buy textbooks!

Instructor(s) College of Electrical and Computer Engineering Prof. Po-Ning Chen
Course Credits 3 Credits
Academic Year 105 Academic Year
Level Graduate Student
Prior Knowledge None
Related Resources Course Video   Course Syllabus   Course Calendar  Course Handout  

 

課程目標

The course aims to provide the fundamentals of discrete time signal processing.

 

課程章節

章節 章節內容
Chapter 9: General Concepts9-1 Definitions 9-2 Systems with Stochastic Inputs 9-3 The Power Spectrum 9-4 Discrete-Time Processes
Chapter 10: Random Walks and Other Applications10-3 Modulation 10-4 Cyclostationary Processes 10-5 Bandlimited Processes and Sampling Theory 10-6 Deterministic Signals in Noise Appendix 10A The Poisson Sum Formula
Chapter 11: Spectral Representation 11-1 Factorization and Innovations 11-2 Finite-Order Systems and State Variables 11-3 Fourier Series and Karhunen-Lo´eve Expansions 11-4 Spectral Representation of Random Processes
Chapter 12: Spectrum Estimation12-1 Ergodicity 12-2 Spectrum Estimation
Chapter 13: Mean Square Estimation13-1 Introduction 13-2 Prediction (Partially, 12-3 Lattice Filters and Levinson’s Algorithm)


課程書目

Athanasios Papoulis & S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes. Fourth edition, Mc Graw Hill, 2002.

 

評分標準

項目百分比
three quizzes25%
two midterm exam50%
final exam25%

本課程行事曆提供課程進度與考試資訊參考。

學期週次
參考課程進度

第一週
第二週
第三週

  • Chapter 9: General Concepts
    9-1 Definitions
第四週
  • 9-2 Systems with Stochastic Inputs
第五週
  • 9-2 Systems with Stochastic Inputs
    9-3 The Power Spectrum
第六週
  • 9-3 The Power Spectrum
    9-4 Discrete-Time Processes

    Chapter 10: Random Walks and Other Applications
    10-3 Modulation

第七週
  • 10-3 Modulation
    10-4 Cyclostationary Processes
第八週
  • 10-5 Bandlimited Processes and Sampling Theory
第九週
  • 第一次期中考
第十週
  • 10-5 Bandlimited Processes and Sampling Theory 
第十一週
  • 10-6 Deterministic Signals in Noise
    Appendix 10A The Poisson Sum Formula
第十二週
  • Chapter 11: Spectral Representation
    11-1 Factorization and Innovations
第十三週
  • 11-2 Finite-Order Systems and State Variables
    11-3 Fourier Series and Karhunen-Lo´eve Expansions
第十四週
  • 第二次期中考
第十五週
  • 11-3 Fourier Series and Karhunen-Lo´eve Expansions
第十六週
  • 11-4 Spectral Representation of Random Processes
第十七週
  • Chapter 12: Spectrum Estimation
    12-1 Ergodicity
    12-2 Spectrum Estimation
第十八週
  • 期末考

課程講義 Handout

參考授課進度
下載連接
Chapter 9 General ConceptsPDF
Chapter 10 Random Walks and Other ApplicationsPDF
Chapter 11 Spectral RepresentationPDF
Chapter 12 Spectrum EstimationPDF
Chapter 13 Mean Square EstimationPDF
preload imagepreload image