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Summer 2013
Credits: 3
Level: Undergraduate, required
Prerequisite: Engineering Mathematics
Hours: Thursday, 14.30-17.15
Location: 404
Course Syllabus:
1- Introduction: Signals and system mathematical definition, the characteristics and properties of them.
2- LTI continuous systems: Time domain analysis, and convolution integral for LTI systems, properties and characteristics.
3- LTI discrete systems: Time domain analysis, and convolution sum for LTI systems, properties and characteristics.
4- Fourier analysis: Frequency domain representation of signals, periodic signals and Fourier series,
Fourier series properties,conversion tables
5- Fourier analysis: Frequency domain representation of signals, aperiodic signals and Fourier transform,
Fourier Transform properties, conversion tables, inverse fourier transform.
6- Laplace Transform: Frequency domain representation of continuous time systems, definition, properties,
inverse Laplace transform.
7- Laplace Transform: Laplace transform properties, duality properties, region of convergence, stability.
8-Midterm
9- Discrete Fourier analysis: Frequency domain representation of discrete time signals,
periodic signals and discrete Fourier series, discrete Fourier series properties, conversion tables
10- Discrete Fourier analysis: Frequency domain representation of discrete time signals,
aperiodic signals and discrete Fourier transform, Fast Fourier Transform
11- Z Transform: Frequency domain representation of discrete time systems, definition, properties,
inverse Z transform
12- Z Transform: Z transform properties, duality properties, region of convergence, stability.
13- Application: Analog filters, frequency separation, ideal filter, Butterworth filter, cross over frequency,
bandwidth, design limitations.
14- Final
Grading:
1. Homework: 25%
2. Mid-term exam: 25%
3. Final exam: 50%
References:
1- A.V. Oppenheim and A.S. Willskey , Signals and systems, Third Edition, Prentice, 1998
2- H.Kwakernaak and R. Sivan, Modern Signals and Systems, Prentice Hall, 1991
3- Solution Manual of Signals and systems, Third Edition, Prentice, 1998
Exercise
Section #1 : 1-4-8-21-22-25-27-28-54
Section #2 : 1-4-7-11-20-21-22-24-25-28-29-33
Section #3 : 1-2-11-16-21-22-23-25-26-27-40-41
Section #4 : 1-2-12-13-14-15-19-21-22-24-26-32-33
Section #5 : 1-2-8-9-12-13-18-21-22-23-24-27-29-51
Section #9 : 7-9-14-19-21-22-23-26-27-28-33-34
Section #10 : 1-2-7-17-21-22-23-26-31-33-34-35-36
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