課程資訊
課程名稱
隨機信號和系統
STOCHASTIC SIGNALS AND SYSTEMS 
開課學期
95-2 
授課對象
電機資訊學院  生醫電子與資訊學研究所  
授課教師
李枝宏 
課號
EE5024 
課程識別碼
921 U1050 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期三6,7,8(13:20~16:20) 
上課地點
電二146 
備註
總人數上限:40人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/952sss_lab_jhlee_ntu 
課程簡介影片
 
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課程概述

I. Probability and Random
Variables
(a) Basic Theory
(b) Transformations and
Operations on Random
Variables.
(c) Vector Random
Variables and Sequence of
Random Variables.
(d) Minimum Mean-Square
Estimation, the
Orthogonality Principles.
(e) The Multivariate
Distribution.

II. Random Processes and
Spectral Analysis
(a) Stationary
Concepts, Correlation
Functions.
(b) Time Averages,
Ergodicity.
(c) Correlation
Functions and Power Spectrum
of Stationary Random
Processes.
(d) Some Important
Random Processes.

III. Transformations and
Operations on Random
Processes.
(a) Linear Systems with
Random Inputs.
(b) Representation and
Processing of
Band-Limited Random
Processes.
(c) Finite-State Linear
Systems Driven by White
Noise.

IV. Optimum Linear Systems.
(a) Formulation of
Optimum Linear Systems.
(b) Optimum Linear
Systems that Maximize
Signal-to-Noise Ratio (SNR).
(c) The Orthogonality
Principles in Linear
Mean-Square Estimation.
(d) Least Mean-Square
Error Filtering,
Estimation, Prediction, and
the Wiener Filter Theory.
(e) Basic Principle of
Kalman Filtering. 

課程目標
I. Probability and Random
Variables
(a) Basic Theory
(b) Transformations and
Operations on Random
Variables.
(c) Vector Random
Variables and Sequence of
Random Variables.
(d) Minimum Mean-Square
Estimation, the
Orthogonality Principles.
(e) The Multivariate
Distribution.

II. Random Processes and
Spectral Analysis
(a) Stationary
Concepts, Correlation
Functions.
(b) Time Averages,
Ergodicity.
(c) Correlation
Functions and Power Spectrum
of Stationary Random
Processes.
(d) Some Important
Random Processes.

III. Transformations and
Operations on Random
Processes.
(a) Linear Systems with
Random Inputs.
(b) Representation and
Processing of
Band-Limited Random
Processes.
(c) Finite-State Linear
Systems Driven by White
Noise.

IV. Optimum Linear Systems.
(a) Formulation of
Optimum Linear Systems.
(b) Optimum Linear
Systems that Maximize
Signal-to-Noise Ratio (SNR).
(c) The Orthogonality
Principles in Linear
Mean-Square Estimation.
(d) Least Mean-Square
Error Filtering,
Estimation, Prediction, and
the Wiener Filter Theory.
(e) Basic Principle of
Kalman Filtering. 
課程要求
 
預期每週課後學習時數
 
Office Hours
另約時間 
指定閱讀
 
參考書目
(1) Saeed Ghahranani, Fundamentals of Probability, 3rd
Edition
Prentice-Hall, 2005.
(2) H. Stark and J. W. Woods, Probability and Random
Processes with Applications to Signal Processing, 3rd
Edition
Prentice-Hall, 2002. 
評量方式
(僅供參考)
   
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