ECE216: Signals and Systems
Spring 2012
Lecture Schedule:
|
Week |
Date |
Lecture
1 |
Lecture
2 |
Lecture
3 |
Text
Reference |
Problem
Set to be discussed in the Tutorial |
Quiz,
Projects and Exams |
|
1 |
Jan 9 |
Introduction;
Signals; Energy, Power, Periodic signals, even/odd signals |
Transformation
of Independent Variables. |
Complex
variables, Exponential,
Sinusoidal Signals |
1.0-1.3 |
-- |
- |
|
2 |
Jan
16 |
Unit
Impulse and Unit Step Functions |
Continuous-time
and Discrete-time Systems |
Basic
System Properties, Memory, Inverse, Causality, Stability |
1.4-1.6 |
1.1,
1.2, 1.5, 1.8, 1.10, 1.24, 1.25, 1.32, 1.54 |
- |
|
3 |
Jan
23 |
Linear
Time-Invariant Systems |
Discrete-time
Convolution |
Continuous-time
Convolution |
2.0-2.2 |
1.13,
1.14, 1.15, 1.16, 1.19, 1.27, 1.28, 1.30, 1.31 |
- |
|
4 |
Jan
30 |
Properties
of Linear Time-invariant Systems |
Properties
of Linear Time-invariant Systems |
LTI
Systems described by Differential and Difference Equations |
2.3-2.4 |
2.3,
2.4, 2.6, 2.8, 2.9, 2.11, 2.12, 2.21, 2.22,
2.23 |
Quiz
#1 (5%) Feb
3, 2-3pm |
|
5 |
Feb 6 |
Response
of LTI Systems to Complex Exponentials |
Continuous-Time
Fourier Series |
Continuous-Time
Fourier Series |
3.2-3.3 |
2.19,
2.25, 2.26, 2.28, 2.30, 2.31, 2.38, 3.3, 3.17, 3.21 |
- |
|
6 |
Feb
13 |
Examples
and Convergence of Fourier Series |
Properties
of Continuous-Time Fourier Series |
Properties
of Continuous-Time Fourier Series; Parseval’s
Theorem |
3.5,
3.8 |
3.4,
3.5, 3.7, 3.21, 3.22(a) figures c, d, e, 3.23, 3.24, 3.25, 3.26 |
- |
|
-- |
Feb
21 |
Reading
week |
-- |
-- |
|
|
|
|
7 |
Feb
27 |
Fourier
Series and LTI systems |
Filtering;
Ideal low-pass filter; RC filter |
Continuous-time
Filters Described by Differential Equations |
3.9-3.10 |
3.8,
3.13, 3.15, 3.17, 3.33, 3.34(c), 3.35, 3.63 |
Matlab Project #1 (10%). Due March 2,
4pm |
|
8 |
March
5 |
Continuous-Time
Fourier Transform |
Continuous-Time
Fourier Transform |
Fourier
Transform of Periodic Signals |
4.1-4.2 |
-- |
Midterm
(25%) March
7, 6-8pm |
|
9 |
March
12 |
Properties
of Continuous-Time Fourier Transform |
Properties
of Continuous-Time Fourier Transform |
Convolution
Property of Fourier Transform |
4.3-4.4 |
4.1,
4.2, 4.3, 4.21a-d, 4.22a-b |
- |
|
10 |
March
19 |
Multiplication
Property of Fourier Transform |
Linear
Constant Coefficient Differential Equations |
Sampling |
4.5-4.7 7.1 |
4.6,
4.7, 4.10, 4.23, 4.28(a)(b-ii,x),
4.30(a), 4.32 |
- |
|
11 |
March
26 |
Nyquist Theorem |
Reconstruction
and Interpolation |
Aliasing |
7.1-7.3
|
4.11,
4.12, 4.13, 4.16, 4.19, 4.33, 4.34 |
Quiz
#2 (5%) March
30, 2-3pm |
|
12 |
April
2 |
Discrete-Time
Fourier Transform |
Properties
of Discrete-Time Fourier Transform |
Linear
Constant-Coefficient Difference Equations |
5.1,
5.3, 5.4, 5.8 |
7.1,
7.2, 7.3, 7.4, 7.5, 7.6, 7.10, (optional 7.26) |
Matlab Project #2 (10%). Due April
3, 4pm |
|
13 |
April
9 |
Amplitude
Modulation and demodulation |
Frequency-Division
Multiplexing |
Final
review. Course
Evaluation |
8.1,
8.2.1, 8.3 |
7.12,
5.1, 5.13, 5.29(a,c),
5.34, 5.36(a,b-i), 8.2(a), 8.3, 8.22 |
- |
|
|
|
|
|
|
|
|
Final
Exam (45%) |
Last Updated: January
6, 2012