ECE301: Signals and Systems

General Course Information

ECE 301

Summer 2008

Instructor: Aung Kyi San

Lecture: M T W Th F 9:50 am - 10:50 am @ EE 117

Office Hours: M W 11:00 am - 12:00 am

Email : asan@purdue.edu

Main Topics of the Course

1. Lecture 1
   1. Signal Energy and Power
   2. Transformation of the independent variable
2. Lecture 2
   1. Periodic Signals
   2. Even and Odd Signals
   3. Exponential and Sinusoidal signals (CT)
3. Lecture 3
   1. Exponential and Sinusoidal signals (DT)
   2. The unit impulse and unit step functions
4. Lecture 4
   1. Continuous-Time and Discrete-Time
   2. Basic System Properties
5. Lecture 5
   1. DR LTI systems: The convolution sum
6. Lecture 6
   1. CT LTI systems: The convolution integral
7. Lecture 7
   1. Properties of LTI sytems
   2. Unit step response of an LTI system
8. Lecture 8
   1. LTI systems described by differential equations(CT) and difference equations(DT)
   2. Response of LTI systems to complex exponentials
9. Lecture 9
   1. Response of LTI sytems to complex exponentials
   2. Fourier Series representation of continuous-time periodic signals
10. Lecture 10
    1. Fourier Series Representation of CT periodic signals
    2. Properties of CT Fourier Series
11. Lecture 11
    1. Fourier Series Representation of CT periodic signals using properties
    2. Fourier Series Representation of DT periodic signals
12. Lecture 12
    1. Properties of discrete time Fourier Series
    2. Fourier Series and LTI Systems
13. Lecture 13
    1. CT Fourier Transform
14. Lecture 14
    1. Convergence of Fourier Transform
    2. Fourier Transform of periodic signals
    3. Properties of Continuous Fourier Transforms
15. Lecture 15
    1. Applications of Convolution Property
    2. Applications of Multiplication Property
    3. Frequency selective filtering
16. Lecture 16
    1. Frequency selective filtering
    2. CT LTI systems characterized by LCCDE
17. Lecture 17
    1. Communication Systems
    2. Complex Exponential and Sinusoidal
    3. Amplitude Modulation (AM)
    4. Demodulation for AM
18. Lecture 18
    1. Frequency Division Multiplextion (FDM)
    2. Single-Sideband Sinusoidal AM
    3. AM with a pulse-train carrier
19. Lecture 19
    1. Discrete-time Fourier Transform
    2. DTFT for periodic signals
    3. Properties of DTFT
20. Lecture 20
    1. Tables 5.1 and 5.2
    2. LTI systems characterized by LCCDEs
21. Lecture 21
    1. Duality
    2. CTFT
    3. DTFS
    4. CRFS & DTFT
22. Lecture 22
    1. Sampling
    2. Representation of a CT signal by its samples
    3. The Sampling Theorem

Homework Problems

1. Homework 1 - Summer 08
2. Homework 2 - Summer 08
3. Homework 3 - Summer 08
4. Homework 4 - Missing 3.28 & 4.4b
5. Homework 4 - 4.4b
6. Homework 5 - Missing 4.45, 4.46, & 4.49
7. Homework 5 - Missing First three and last one
8. Homework 6 - Don't know 5.8

Exams

1. Exam 1
2. Exam 2

Bonus Problems

1. Bonus 2
2. Bonus 3 - Exam 1
3. Bonus 5 - Exam 1
4. Bonus 6 - Convolution Proofs
5. Bonus 12 - Exam 2
6. Bonus 12 scores

Other Topics

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You can use latex in Kiwi, here is a Latex Cheat Sheet

1. Practice Problems - Exam 1
2. Exam 1 Formulas
3. Practice Midterm 2 - Aung Kyi San Summer 2005 Solutions

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