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1.
2. |
S. Haykin, Communication Systems, 4th Ed., Wiley, 2001.
A. V. Oppenheim, et. al., Signals and Systems, 2nd Ed., Prentice-Hall, 1996. |
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1.
2.
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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. |
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1.
2.
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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. |
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1.
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S. Tanenbaum, Computer Networks, 3rd Ed., Prentice Hall, 1996. |
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| 範圍: |
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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 parallel-plate 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.
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"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., Prentice-Hall, 2000.
"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., Addison-Wesley, 1989. |
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1.
2.
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S. Haykin, Communication Systems, 4th Ed., Wiley, 2001.
A. V. Oppenheim, et. al., Signals and Systems, 2nd Ed., Prentice-Hall, 1996. |
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| 範圍: |
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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 |
| 參考書目: |
1.
2.
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"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., Addison-Wesley, 1989.
"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., Prentice-Hall, 2000. |
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博士班資格考(新制)
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| 內容範圍: |
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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 Cayley-Hamilton Theorem
Inner products and norms
Gram-Schmidt procedure
Orthogonal complements
Adjoints
Normal and self-adjoint operators
Unitary and orthogonal operators and matrices
Orthogonal projections and the spectral theorem
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| 參考書目: |
1. |
L. E. Spence, A. J. Insel, S. H. Friedberg, Elementary Linear Algebra -- A Matrix Approach, Prentice Hall, 2000. |
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| 內容範圍: |
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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
Moment-generating 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. |
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| 內容範圍: |
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(1) Probability and Random Variables
a. Transformations and Operations on Random Variables
b. Sequence of Random Variables, Convergence Concepts
c. Minimum Mean-Square 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. Finite-State Linear Systems Driven by White Noise
(4) Optimum Linear System
a. The Formulation of Optimum Systems
b. The Orthogonality Principles in Linear Mean-Square Estimation
c. Least Mean-Square Error Filtering, Estimation, and Prediction, the Wiener-Kolmogoroff Theory
d. Recursive Least Mean-Square Error Estimation, the Kalman-Bucy Theory
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| 參考書目: |
1. |
H. Stark, J. W. Woods, Probability and Random Processes with Applications to Signal Processing, 3rd Ed., Prentice Hall, 2001. |
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| 內容範圍: |
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(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. |
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| 內容範圍: |
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Linear Discrete Time-Invarant Systems
Z-Transform 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, Discrete-Time Signal Processing, 2nd Ed., Prentice Hall, 1999. |
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| 內容範圍: |
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(1) Continuous-Wave Modulation
Amplitude Modulation
Linear Modulation Schemes
Frequency Translation
Frequency-Division 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
Pulse-Amplitude Modulation
Other Forms of Pulse Modulation
Bandwidth-Noise Trade-off
Quantization Process
Pulse-Code Modulation
Noise Considerations in PCM Systems
Time-Division Multiplexing
Digital Multiplexers
Virtues, Limitations, and Modifications of PCM
Delta Modulation
Linear Prediction
Differential Pulse-Code Modulation
Adaptive Differential Pulse-Code Modulation
(3) Baseband Pulse Transmission
Matched Filter
Error Rate Due to Noise
Intersymbol Interference
Nyquist's Criterion for Distortionless Baseband BinaryTransmission
Correlative-Level Coding
Baseband M-ary PAM Transmission
Digital Subscriber Lines
Optimum Linear Receiver
Adaptive Equalization
(4) Signal-Space 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 Phase-Shift Keying
Hybrid Amplitude/Phase Modulation Schemes
Coherent Frequency-Shift Keying
Detection of Signals with Unknown Phase
Noncoherent Orthogonal Modulation
Noncoherent Binary Frequency-Shift Keying
Differential Phase-Shift Keying
Comparison of Digital Modulation Schemes Using a Single Carrier
Synchronization (Classical Feedback and Modern Algorithmic Approach)
(6) Spread-Spectrum Modulation
Pseudo-Noise Sequences
Notion of Spread Spectrum
Direct-Sequence Spread Spectrum with Coherent Binary Phase-Shift Keying
Signal-Space Dimensionality and Processing Gain
Probability of Error
Frequency-Hop Spread Spectrum
(7) Multiuser Radio Communications
Multiple-Access Techniques
Satellite Communications
Radio Link Analysis
Wireless Communications
(8) Fundamental Limits in Information Theory
Uncertainty, Information, and Entropy
Source-Coding Theorem
Data Compaction
Discrete Memoryless Channels
Mutual Information
Channel Capacity
Channel-Coding 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) Error-Control Coding
Discrete-Memoryless 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. |
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| 內容範圍: |
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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
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| 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 Boundary-Value Problems," 4th ed., by Dennis G. Zill and Michael R. Cullen. |
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| 內容範圍: |
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Vector spaces Linear transformation Matrices Inner product spaces
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| 參考書目: |
1. |
"Linear Algebra," by S.H. Friedberg, A.J. Insel, and L.E. Pence, 2nd ed., Prentice-Hall. ( Now 3rd edition is available ) |
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| 內容範圍: |
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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. |
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| 內容範圍: |
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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 |
| 參考書目: |
1.
2.
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"Field and Wave Electromagnetics," by David K. Cheng, 2nd ed., Addison-Wesley, 1989.
"Elements of Engineering Electromagnetics," by N. N. Rao, 5th ed., Prentice-Hall, 2000. |
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| 內容範圍: |
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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 |
| 參考書目: |
1. |
"Time-Harmonic Electromagnetic Fields," by R. F. Harrington, Ch.1 to Ch.6. |
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| 內容範圍: |
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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
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| 參考書目: |
1. |
"Microwave Engineering", David M. Pozar, 2nd ed., John-Wiely, 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: 5.1-5.9
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 |
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| 內容範圍: |
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Far-field 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. |
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