

1.
2. 
S. Haykin, Communication Systems, 4th Ed., Wiley, 2001.
A. V. Oppenheim, et. al., Signals and Systems, 2nd Ed., PrenticeHall, 1996. 

1.
2.

L. E. Spence, A. J. Insel, S. H. Friedberg, Elementary Linear Algebra  A Matrix Approach, Prentice Hall, 2000.
S. H. Friedberg, A. J. Insel, L. E. Spence, Linear Algebra, 3rd Ed., Prentice Hall, 1997. 

1.
2.

S. Ghahramani, Fundamentals of Probability, 2nd. Ed., Prentice Hall, 1999.
P. Hoel, S. C. Port, C. J. Stone, Introduction to Statistical Theory, Houghton Mifflin College, 1971. 

1.

S. Tanenbaum, Computer Networks, 3rd Ed., Prentice Hall, 1996. 

範圍: 

1. Vectors and fields
2. Fields and materials
3. Maxwell's equations in integral form and boundary conditions
4. Maxwell's equations in differential form, potential functions, and energy storage
5. Uniform plane waves and power flow in an electromagnetic field
6. Transmission line essentials for digital electronics
7. Transmission lines for communications
8. Quasistatic field analysis
9. Magnetic circuits and electromechanical energy conversion
10. Reflection and refraction of plane waves in an arbitrary direction
11. TE and TM waves in parallelplate waveguides and dielectric slab waveguides
12. Dispersion and group velocity
13. Rectangular metallic waveguides and cavity resonators
14. Antennas and radiation 
參考書目: 
1.
2.

"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., PrenticeHall, 2000.
"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., AddisonWesley, 1989. 



1.
2.

S. Haykin, Communication Systems, 4th Ed., Wiley, 2001.
A. V. Oppenheim, et. al., Signals and Systems, 2nd Ed., PrenticeHall, 1996. 

範圍: 

Vector analysis
Static electric fields
Solutions of electrostatic problems
Steady electric currents
Static magnetic fields
Timevarying fields and Maxwell's equations
Plane electromagnetic waves
Theory and applications of transmission lines
Waveguides and cavity resonators
Antennas and radiating systems 
參考書目: 
1.
2.

"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., AddisonWesley, 1989.
"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., PrenticeHall, 2000. 

博士班資格考(新制)


內容範圍: 

Vector Spaces
Subspaces
Linear Combinations
Linear dependence and independence
Bases and dimension
Linear transformations, null spaces, and ranges
Matrix representation of linear transforms
Composite linear transforms and matrix manipulation
Invertibility and isomorphism
Change of coordinate
Elementary matrix operations and systems of linear equations
Determinants
Eigenvalues and eigenvectors
Diagonalizability
Invariant subspaces and CayleyHamilton Theorem
Inner products and norms
GramSchmidt procedure
Orthogonal complements
Adjoints
Normal and selfadjoint operators
Unitary and orthogonal operators and matrices
Orthogonal projections and the spectral theorem

參考書目: 
1. 
L. E. Spence, A. J. Insel, S. H. Friedberg, Elementary Linear Algebra  A Matrix Approach, Prentice Hall, 2000. 

內容範圍: 

Axioms of probability
Probability analysis using combinatorial methods
Conditional probability
Law of total probability
Bayes' rule
Independence
Random variables
Distribution and density functions
Statistics of random variables (mean,variance, moments, etc)
Special discrete and continuous random variables (including, but not limited to, Bernoulli, binomial,Poisson, geometric uniform, Gaussian, exponential, gamma)
Multivariate distributions
Joint statistics (covariance, correlation, joint moments, etc)
Conditioning
Transformation of random variables
Momentgenerating functions
Sums of independent random variables
Markov and Chebyshev inequalitites
Laws of large numbers
Central limit theorem 
參考書目: 
1. 
S. Ghahramani, Fundamentals of Probability, 2nd Ed., Prentice Hall, 1999. 

內容範圍: 

(1) Probability and Random Variables
a. Transformations and Operations on Random Variables
b. Sequence of Random Variables, Convergence Concepts
c. Minimum MeanSquare Estimation, the Orthogonality Principles
d. The Multivariate Distribution
(2) Random Processes and Spectral Analysis
a. Stationary Concepts, Correlation Functions
b. Time Averages, Ergodicity
c. Correlation Functions and Power Spectrum of Stationary Processes
d. Noise Mechanisms, the Gaussian and Poisson processes
e. Representations of Random Processes, Orthogonal Expansions
(3) Transformations and Operations on Random Processes
a. Linear Systems with Random Inputs
b. Representation and Processing of Narrowband Random Processes
c. FiniteState Linear Systems Driven by White Noise
(4) Optimum Linear System
a. The Formulation of Optimum Systems
b. The Orthogonality Principles in Linear MeanSquare Estimation
c. Least MeanSquare Error Filtering, Estimation, and Prediction, the WienerKolmogoroff Theory
d. Recursive Least MeanSquare Error Estimation, the KalmanBucy Theory

參考書目: 
1. 
H. Stark, J. W. Woods, Probability and Random Processes with Applications to Signal Processing, 3rd Ed., Prentice Hall, 2001. 

內容範圍: 

(1) Fundamentals
a. Network hardware and software
b. Reference models
c. Physical layer
d. Basic switching architecture
(2) The Data Link Layer
a. Error Control, flow control
b. Sliding window protocols
c. Protocol specification and verification
d. HDLC, PPP, ATM
(3) The Medium Access Sublayer
a. Multiple Access protocols and simple analysis
b. IEEE 802.2, 802.3, 802.4, 802.5
c. Bridges
d. High speed LAN
(4) The Network Layer
a. Routing algorithms
b. Congestion control algorithm
c. Interworking
d. IP, Internet control protocols, OSPF, BGP
(5) The Transport Layer
a. Elements of transport protocols
b. TCP, UDP
c. Performance Issues 
參考書目: 
1. 
A. S. Tanenbaum, Computer Networks, 3rd Ed., Prentice Hall, 1996. 

內容範圍: 

Linear Discrete TimeInvarant Systems
ZTransform and Fourier Analysis
Signal Sampling
Discrete and Fast Fourier Transform
IIR Filter Design
FIR Filter Design
Digital Signal Processing Applications 
參考書目: 
1. 
A. V. Oppenheim, R. W. Schafer, J. R. Buck, DiscreteTime Signal Processing, 2nd Ed., Prentice Hall, 1999. 

內容範圍: 

(1) ContinuousWave Modulation
Amplitude Modulation
Linear Modulation Schemes
Frequency Translation
FrequencyDivision Multiplexing
Angle Modulation
Frequency Modulation
Nonlinear Effects in FM Systems
Superheterodyne Receiver
Noise in CW Modulation Systems
Noise in Linear Receivers using Coherent Detection
Noise in AM Receivers using Envelope Detection
Noise in FM Receivers (including Threshold Effect)
(2) Pulse Modulation
Sampling Process
PulseAmplitude Modulation
Other Forms of Pulse Modulation
BandwidthNoise Tradeoff
Quantization Process
PulseCode Modulation
Noise Considerations in PCM Systems
TimeDivision Multiplexing
Digital Multiplexers
Virtues, Limitations, and Modifications of PCM
Delta Modulation
Linear Prediction
Differential PulseCode Modulation
Adaptive Differential PulseCode Modulation
(3) Baseband Pulse Transmission
Matched Filter
Error Rate Due to Noise
Intersymbol Interference
Nyquist's Criterion for Distortionless Baseband BinaryTransmission
CorrelativeLevel Coding
Baseband Mary PAM Transmission
Digital Subscriber Lines
Optimum Linear Receiver
Adaptive Equalization
(4) SignalSpace Analysis
Bayes Optimization
Vector Space Representation of Signals
MAP Receiver for Digital Data Transmission
Estimation Theory
Applications of Estimation Theory to Communications
(5) Passband Digital Transmission
Passband Transmission Model
Coherent PhaseShift Keying
Hybrid Amplitude/Phase Modulation Schemes
Coherent FrequencyShift Keying
Detection of Signals with Unknown Phase
Noncoherent Orthogonal Modulation
Noncoherent Binary FrequencyShift Keying
Differential PhaseShift Keying
Comparison of Digital Modulation Schemes Using a Single Carrier
Synchronization (Classical Feedback and Modern Algorithmic Approach)
(6) SpreadSpectrum Modulation
PseudoNoise Sequences
Notion of Spread Spectrum
DirectSequence Spread Spectrum with Coherent Binary PhaseShift Keying
SignalSpace Dimensionality and Processing Gain
Probability of Error
FrequencyHop Spread Spectrum
(7) Multiuser Radio Communications
MultipleAccess Techniques
Satellite Communications
Radio Link Analysis
Wireless Communications
(8) Fundamental Limits in Information Theory
Uncertainty, Information, and Entropy
SourceCoding Theorem
Data Compaction
Discrete Memoryless Channels
Mutual Information
Channel Capacity
ChannelCoding Theorem
Differential Entropy and Mutual Information for Continuous Ensembles
Information Capacity Theorem
Implications of the Information Capacity Theorem
Information Capacity of Colored Noise Channel
(9) ErrorControl Coding
DiscreteMemoryless Channels
Linear Block Codes
Cyclic Codes
Convolutional Codes
Maximum Likelihood Decoding of Convolutional Codes 
參考書目: 
1. 
S. Haykin, Communication Systems, 4th Ed., Wiley, 2001. 

內容範圍: 

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
Boundaryvalue problems  rectangular coordinate

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

內容範圍: 

Vector spaces Linear transformation Matrices Inner product spaces

參考書目: 
1. 
"Linear Algebra," by S.H. Friedberg, A.J. Insel, and L.E. Pence, 2nd ed., PrenticeHall. ( Now 3rd edition is available ) 

內容範圍: 

Functions of a complex variable
Integration in the complex plane
Series and residues
Conformal mappings and applications 
參考書目: 
1. 
"Advanced Engineering Mathematics," by Dennis G. Zill and Michael R. Cullen, 2nd ed., Jones and Bartelett Publ., 2000. 

內容範圍: 

Vector analysis
Static electric fields
Solutions of electrostatic problems
Steady electric currents
Static magnetic fields
Timevarying fields and Maxwell's equations
Plane electromagnetic waves
Theory and applications of transmission lines
Waveguides and cavity resonators
Antennas and radiating systems 
參考書目: 
1.
2.

"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., AddisonWesley, 1989.
"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., PrenticeHall, 2000. 

內容範圍: 

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, farfield approximation…)
Plane wave functions and applications
Cylindrical wave functions and applications
Spherical wave functions and applications 
參考書目: 
1. 
"TimeHarmonic Electromagnetic Fields," by R. F. Harrington, Ch.1 to Ch.6. 

內容範圍: 

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

參考書目: 
1. 
"Microwave Engineering", David M. Pozar, 2nd ed., JohnWiely, 1998.
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: 5.15.9
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: 8.38.9
Chapter 10: 10.110.4
Chapter 11: 11.111.5
Chapter 12: 12.212.4 

內容範圍: 

Farfield integrals, reciprocity, directivity
Radiation patterns of dipoles, loops, and helices
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) 
參考書目: 
1. 
"Antenna Theory and Design," by Robert S. Elliott. 


