## 博士生資格考核 (106學年度起適用)

### 甲組電波【微分方程】

#### ※ 參考書籍

1. "Advanced Engineering Mathematics," 3rd ed., by Peter V. O'Neil , I.T.P. ( 4th ed. is available now )
2. "Differential Equations with Boundary-Value Problems," 4th ed., by Dennis G. Zill and Michael R. Cullen.

#### ※ 參考範圍

• First order differential equations
• Differential equations of higher order
• Laplace transform
• Series solutions of linear differential equations
• Systems of differential equations
• Fourier series and integral
• Boundary-value problems - rectangular coordinate

### 甲組電波【電磁學(一)、(二)】

#### ※ 參考書籍

1. "Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., Addison-Wesley, 1989.
2. "Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., Prentice-Hall, 2000.

#### ※ 參考範圍

• Vector analysis
• Static electric fields
• Solutions of electrostatic problems
• Steady electric currents
• Static magnetic fields
• Time-varying fields and Maxwell's equations
• Plane electromagnetic waves
• Theory and applications of transmission lines
• Waveguides and cavity resonators
• Antennas and radiating systems

### 甲組電波【微波電路】

#### ※ 參考書籍

1. "Microwave Engineering", David M. Pozar, 2nd ed., John-Wiely, 1998.
2. Chapter 2: 2.1, 2.3, 2.4, 2.5, 2.6, 2.7
Chapter 3: 3.1, 3.5, 3.7, 3.8
Chapter 4: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6 (point of interest)
Chapter 5: 5.1-5.9
Chapter 6: 6.1, 6.2, 6.5, 6.7
Chapter 7: 7.1, 7.2, 7.3, 7.5, 7.6, 7.7, 7.8, 7.9
Chapter 8: 8.3-8.9
Chapter 10: 10.1-10.4
Chapter 11: 11.1-11.5
Chapter 12: 12.2-12.4

#### ※ 參考範圍

• Transmission line theory
• Transmission lines and microwave network analysis
• Impedance and tuning
• Passive microwave circuits: resonator, power divider, directional coupler, filter
• Active microwave circuits: detector, mixer, PIN diode switch, amplifier, oscillator
• Basics of microwave systems

### 甲組電波【天線】

#### ※ 參考書籍

1. "Antenna Theory and Design," by Robert S. Elliott.

#### ※ 參考範圍

• Far-field integrals, reciprocity, directivity
• Radiation patterns of dipoles, loops, and helicesr
• Radiation patterns of horns, slots, and patch antennas
• Linear arrays: analysis
• Linear arrays: synthesis (Sec.5.1 to Sec.5.7 only)
• Self impedance and mutual impedance of antenna elements (Sec.7.1 to Sec.7.7 only

### 甲組電波【電磁理論】

#### ※ 參考書籍

1. "Time-Harmonic Electromagnetic Fields," by R. F. Harrington, Ch.1 to Ch.6.

#### ※ 參考範圍

• Fundamental concepts ( Maxwell equations, energy and power, boundary conditions…)
• Introduction to waves ( Waves in lossy matter, reflection of waves, transmission lines, waveguides, resonators, antennas…)
• Some theorems and concepts ( Duality, uniqueness, image theory, equivalence principle, induction theorem, reciprocity, Green's functions, tensor Green's functions, integral equations, far-field approximation…)
• Plane wave functions and applications
• Cylindrical wave functions and applications
• Spherical wave functions and applications

### 乙組通信【線性代數】

#### ※ 參考書籍

1. Linear Algebra: A Matrix Approach 2e by Spence, Insel, Friedberg

#### ※ 參考範圍：

systems of linear equations, Gaussian elimination, reduced row echelon form, span, linear dependence/independence, invertibility and elementary matrices, inverse, linear transformations, determinants, subspaces, basis, coordinate, matrix representation of linear operator, eigenvalues, eigenvectors and diagonalization, orthogonality, Gram-Schmidt process, orthogonal projection, least-squares method, orthognal matrices and operators, symmetric matrices, vector spaces and subspaces, linear transformations, basis, matrix representation of linear operators, inner product spaces

### 乙組通信【機率與隨機程序】

#### ※ 參考書籍

1. A. Papoulis and S.U. Pillai, Probability, Random Variables, and Stochastic Processes, fourth edition, McGraw-Hill, 2002.
2. "Elements H. Larson and B. Shubert, Probabilistic Models in Engineering Sciences, vols. 1 and 2, Wiley, 1979.f Engineering Electromagnetics," by N. N. Rao, 5th ed., Prentice-Hall, 2000.

#### ※ 參考範圍

1. Review of Random Variables (Papoulis, Chaps. 1-7, and class note)
2. Introduction to Random Processes: General Concepts and Spectral Analysis (Papoulis, Chap. 9, and class note)
3. Real-Valued Gaussian Random Vectors and Real-Valued Gaussian Random Processes (Larson & Shubert, class note)
4. Karhunen-Love Representation (Papoulis, Chap. 11, and class note)

#### ※ 參考網址

http://homepage.ntu.edu.tw/~r04942121/spa105.htm

### 乙組通信【數位通信】

#### ※ 參考書籍

1. J. G. Proakis and M. Salehi, Digital Communications, 5th Ed., McGraw Hill, 2008. "Microwave Engineering", David M. Pozar, 2nd ed., John-Wiely, 1998.
2. R. E. Ziemer and R. L. Peterson, Introduction to Digital Communication, 2nd Ed., Prentice Hall, 2001.

#### ※ 參考範圍

1. Digital Modulation Schemes
2. Optimum Receivers and Performance Analysis for AWGN Channels
3. Carrier and Symbol Synchronization
4. Digital Communication and Equalization Through Band-Limited Channels
5. Multichannel and Multicarrier Systems

### 乙組通信【電腦通信網路】

#### ※ 參考書籍

1. Andrew S.Tanenbaum “Computer Networks” Third Edition 1996 Prentice-Hall International Inc.

#### ※ 參考範圍

1. The Physical Layer
2. The Data Link Layer
3. The Medium Access
4. Network Layer
5. The Transport Layer
6. The Appoication Layer

### 乙組通信【數位訊號處理】

#### ※ 參考書籍

1. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, Pearson

#### ※ 參考範圍

Chap 2 Discrete-Time Signals and Systems
Chap 3 The z-Transform
Chap 4 Sampling of Continuous-Time Signals
Chap 7 Filter Design Techniques
Chap 8 The Discrete Fourier Transform
Chap 9 Computation of the Discrete Fourier Transform

### 丙組資網【線性代數】

#### ※ 參考書籍

1. Linear Algebra: A Matrix Approach 2e by Spence, Insel, Friedberg

#### ※ 參考範圍：

systems of linear equations, Gaussian elimination, reduced row echelon form, span, linear dependence/independence, invertibility and elementary matrices, inverse, linear transformations, determinants, subspaces, basis, coordinate, matrix representation of linear operator, eigenvalues, eigenvectors and diagonalization, orthogonality, Gram-Schmidt process, orthogonal projection, least-squares method, orthognal matrices and operators, symmetric matrices, vector spaces and subspaces, linear transformations, basis, matrix representation of linear operators, inner product spaces

### 丙組資網【機率與統計】

#### ※ 參考書籍

1. R. Yates and D. Goodman, "Probability and Stochastic Processes," 2e, Wiley, 2005.
2. Bertsekas and J. Tsitsiklis, "Introduction to Probability," 2e, Athena Scientific, 2008.
3. Ghahramani, "Fundamentals of Probability with Stochastic Processes," 3e, Prentice Hall, 2005.

#### ※ 參考範圍

1. Experiments, Models, and Probabilities
2. Random Variables (Discrete and Continuous)
3. Multi-variate Random Variables (Random Vectors)
4. Probability Models of Derived Random Variables
5. Conditional Probability Models
6. Sum of Random Variables
7. Parameter Estimation
8. Hypothesis Testing
9. Central limit theorem
10. Confidence Interval
11. and Law of large number

### 丙組資網【離散數學】

#### ※ 參考書籍

1. Discrete Mathematics and Its Applications 7th Edition

#### ※ 參考範圍

1. Mathematical Reasoning :Logic, Proof methods, Inductive Proofs
2. Combinatorial Analysis : Summations, Countability, Probability, Combinatorics, Recurrences, Boolean Algebra
3. Discrete Structures : Sets, Functions, Sequences, Permutations, Relations, Graphs, Trees, Finite-state Machines
4. Algorithms : Orders of Growth, Complexity. Specification, Program verification
5. Application and modeling

### 丙組資網【機器學習】

#### ※ 參考書籍

1. Introduction to Machine Learning, second edition, Ethem Alpaydin
2. Pattern Recognition and Machine Learning, Christopher M. Bishop
3. Learning from Data, Yaser S. Abu-Mostafa , Malik Magdon-Ismail, Hsuan-Tien Lin

#### ※ 參考範圍

1. Deep Neural Network
2. Convolutional Neural Network
3. Unsupervised Learning: Linear Models
4. Unsupervised Learning: Auto-encoder
5. Unsupervised Learning: Generative Model
6. Semisupervied Learning
7. Transfer Learning
8. Beyond Classification: Recurrent Neural Network
9. Beyond Classification: Structured Learning
10. Learning in the Real World: Reinforcement Learning

### 丙組資網【資料科學】

#### ※ 參考書籍

1. Data Mining: Concepts and Techniques, J. Han and M. Kamber, Morgan Kaufmann , 2000

#### ※ 參考範圍

1. Mining Association Rules
2. FPTree
3. Classification
4. Data, GPGPU
5. Data Classification
6. KNN, Bayes Theorem, Neural Net and Concept of SVM
7. SVM and Clustering
8. More on Clustering
9. Sequential Pattern Mining
10. 10.Cloud Computing, Web Mining, and Social Networks

### 丙組資網【電腦通信網路】

#### ※ 參考書籍

1. Andrew S.Tanenbaum “Computer Networks” Third Edition 1996 Prentice-Hall International Inc.

#### ※ 參考範圍

1. The Physical Layer
2. The Data Link Layer
3. The Medium Access
4. Network Layer
5. The Transport Layer
6. The Appoication Layer