EE 301
Textbooks:
A. V. Oppenheim, A. S. Willsky, and S. H. Nawab,”Signals & Systems”, Prentice-Hall, 1997,
S. Haykin and B. V. Veen, “ Signals and Systems”, John Wiley & Sons, Inc., 1999.
G. E. Carlson, “ Signal and Linear System Analysis with MATLAB”, John Wiley & Sons, Inc., 1998.
R. E. Ziemer, W. H. Tranter, and D. R. Fannin, “ Signals & Systems: Continuous and Discrete”, Prentice-Hall, 1998.
Course Outline:
Topic |
Chapters |
|
Signals and Systems |
Ch 1 |
|
LTI systems |
Ch. 2 |
|
Fourier Series for Periodic Signals |
Ch. 3 |
|
The Continuous time Fourier Transform |
Ch. 4 |
|
The Discrete time Fourier Transform |
Ch. 5 |
|
Laplase Transform |
Ch. 9 |
Grading system:
15 % Home works
5 % Attendance
20 % Each Mid-Term examination
40 % Final examination
Midterms Exams
1st Midterm: Monday / /
2nd Midterm: Monday / /
EE 301 Signals and systems
Course Schedule, Academic Year 1429/1430
|
الأسبوع |
الموضوعات |
|
1 |
Definition of a signal.
Definition of a system.
Continuous-time signals and systems.
Discrete-time signals and systems.
Analysis versus synthesis, and applications. |
|
2 |
Continuous-Time (CT) and Discrete-Time (DT) Signals
Classifications of CT and DT signals
Deterministic signals.
Random signals.
Periodic signals.
Energy and power signals.
Even and odd signals. |
|
3 |
Transformations of the independent variable of CT and DT signals.
Time shifting.
Reflection.
Time scaling. |
|
4 |
Basic operations on CT and DT signals
Convolution
The convolution integral.
The convolution sum.
Properties of convolution
The commutative property.
The distributive property.
The associative property. |
|
5 |
Correlation
Cross-correlation function.
Autocorrelation function.
Properties of correlation functions.
Relationship between convolution and correlation. |
|
6 |
Fourier series (FS) representations of CT and DT periodic signals
Linear combinations of harmonically related complex exponentials.
Determination of the FS representation.
Convergence of the FS.
Fourier transform (FT) representations of CT and DT signals |
|
7 |
Development of the FT representation.
Convergence of the FT.
The FT for periodic signals |
|
8 |
Properties of the Fourier representations.
Linearity.
Conjugation and conjugate symmetry.
Time and frequency shifting.
Time and frequency scaling.
Differentiation and integration.
Differencing and summation.
Convolution.
Multiplication.
Parseval's relation.
Duality.
|
|
9 |
CT and DT Systems
Interconnections of systems.
Basic system properties
Systems with and without memory.
Causal and noncausal systems.
Stable and nonstable systems.
Linear and nonlinear systems.
Time invariant and time varying systems.
Invertibility and inverse systems. |
|
10 |
Linear time-invariant (LTI) systems
The response of LTI systems to an arbitrary input.
The impulse response.
Development of the convolution sum.
Development of the convolution integral.
Relationship between step and impulse responses. |
|
11 |
Properties of LTI Systems
LTI systems interconnected in cascade.
LTI systems interconnected in parallel.
LTI systems with and without memory.
Invertibility of LTI systems.
Causality for LTI systems.
Stability for LTI systems.
The response of LTI systems to a complex exponential |
|
12 |
The frequency response.
System response to a periodic signal.
Filtering.
DT processing of CT signals.
The sampling theorem.
Basic system components.
Systems characterized by linear constant-coefficient and difference equations |
|
13 |
The Laplace Transform
The unilateral and bilateral Laplace transforms.
Region of convergence.
Inversion of Laplace transform.
Properties of Laplace transform
Linearity.
Time shifting. |