ELEN E3801 – Signals and Systems

Fall 2007

 

Lectures

 

 

Number

Date

Sections

Topics

1

09/04/07

B.1 => B.2
Notes

Mathematical background

2

09/06/07

1.1 => 1.3
Notes

Signal energy, power; Signal classifications; Signal operations

3

09/11/07

1.5 => 1.6
Notes

Useful signals, Systems

4

09/13/07

1.7-1 => 1.7-3
Notes

Linear vs nonlinear systems, Time-invariant vs. time-varying systems, Instantaneous vs. dynamic systems

5

09/18/07

2.4-1 => 2.4-2
Notes

Convolution

6

09/20/07

2.1, 2.4
Notes

Zero-input response and zero-state response, impulse response of an LTI system

7

09/25/07

3.3-1, 3.3-2,

3.8
Notes

Signal approximation by orthogonal signal set

8

09/27/07

3.4
Notes

Trigonometric Fourier series

9

10/02/07

3.4-1, 3.4-2, 3.5
Notes

Effect of symmetry, Determining fundamental frequency, Exponential Fourier series

10

10/04/07

Notes

Properties of Fourier Series

11

10/09/07

4.1
Notes

Fourier transform and inverse transform, existence condition

12

10/11/07

Notes

Problem Session

13

10/16/07

4.2
Notes

Useful Fourier transforms, Fourier transform of periodic signals

14

10/18/07

Practice Exam

MIDTERM 1

15

10/23/07

 4.2
Notes

Properties of the Fourier Transform

16

10/25/07

 4.3
Notes

Properties of the Fourier Transform (continued)

17

10/30/07

 4.4, 4.5, 4.6,

and 3.7
Notes
 

Signal transmission through LTI systems, Idea and practical filters, Signal energy, LTI system response to periodic inputs

18

11/01/07

5.1, 5.1-1
Notes

The Nyquist sampling theorem, The interpolation formula

19

11/08/07

6.1, 6.2
Notes

Unilateral Laplace Transform, Properties of Laplace transform

20

11/13/07

6.1-3
Notes

Inverse Laplace transform  

21

11/15/07

Practice Exam
Solutions

MIDTERM 2

22

11/20/07

6.3, 6.3-1, 2.6, 2.6-1
Notes

 Analysis of LTI systems using Laplace transform.  Asymptotic stability, BIBO stability

23

11/27/07

 6.5, 6.6, 6.6-1,

6.6-2
Notes

Block diagrams, System realizations

24

11/29/07

13.1, 13.2-2, 7.1,

7.1-1
Notes

State-space representation from transfer function, frequency response of LTI systems

25

12/04/07

8.2-4, 9.1-4, 11.1
Notes

Introduction to discrete signals and systems

26

12/11/07

Notes

Review session.

 

12/20/07

Practice Exam

FINAL EXAM