EE 315

Signals and Systems

 

Instructor:

Anders Høst-Madsen, POST 205B

E-mail: madsen@spectra.eng.hawaii.edu

Phone: 956-2693 (do not leave message; send e-mail instead)

Web page: http://ee315.hostmadsen.com

 

Classes:

MWF 11:30-12:20.

 

Office hours:

TTr 1-2.

 

Final:

The final is Monday 12-2pm. Further information is here.

Example Final: Link to Final F05. Now with solution.

 

Midterm:

The first midterm was Wednesday September 27. The solution of the midterm is here.

Example Midterm: Link to Midterm 1 F05. Click here for the solution.

 

The second midterm was Wednesday November 1. The solution of the midterm is here.

Example Midterm 2: Link to Midterm 2 F05. Click here for the solution.

 

Homework:

There is one homework set per week.

Link to HW.

 

Programs used in lectures:

Click here to get a zip file with the Matlab programs used during lectures

 

Problem session:

Mondays 4:30-5:20, Holmes 243.

 

Textbook:

Oppenheim & Wilsky: Signals and Systems, 2nd Edition, Prentice Hall, 1997.

 

Additional/Alternative reading:

E.A. Lee & P. Varaiya: Structure and Interpretation of Signals and Systems, Addison-Wesley, 2003 (very different approach)

Z. Gajic: Linear Dynamic Systems and Signals, Prentice Hall, 2003 (more rigorous mathematical approach).

M.J. Robert: Signals and Systems, McGraw Hill, 2004 (similar to the textbook; some students find this easier to read).

 

Course contents:

Signals and systems, linear time-invariant systems, Fourier series, Fourier transform, frequency analysis, sampling, communications systems.

 

Grading:

Homework:                              15%

Midterm 1:                               20%

Midterm 2:                               25%

Final:                                        40%

 

KOKUA program:

If you feel you need reasonable accommodations because of the impact of a disability, please contact the KOKUA program (V/T) at 956-7511 or 956-7612 in room 013 of the QLCSS.

Course Schedule

The schedule is only a guideline – count on some delay during the semester

 

Week

Date

Lesson

Topic

Textbook

1

8.21

1

Introduction

1.1-1.2

8.23

2

Definitions for signals and systems

1.1-1.2

8.25

3

Continuous time exponential and sinusoidal signals

1.3.1

3

8.28

4

Discrete time exponential and sinusoidal signals

1.3.2

8.30

5

Impulse function and step function

1.4

9.1

6

Systems

1.5-1.6

2

9.4

Labor Day, no class

9.6

7

The convolution sum

2.1

9.8

8

The convolution sum

2.1

4

9.11

9

The convolution integral

2.2

9.13

10

The convolution integral

2.2

9.15

11

Properties of LTI systems

2.3

5

9.18

12

Properties of LTI systems

2.3

9.20

13

Difference and differential equations

2.4.1-2.4.2

9.22

14

LTI systems and complex exponentials

3.2

6

9.25

15

Fourier series

3.3

9.27

Midterm 1

9.29

16

Fourier series

3.3

7

10.2

17

Convergence of Fourier series

3.4

10.4

18

Properties of Fourier series

3.5

10.6

19

Properties of Fourier series

3.5

8

10.9

20

Fourier series for discrete time signals

3.6-3.7

10.11

21

Fourier analysis

 

10.13

22

Fourier series and LTI systems

3.8-3.9

9

10.16

23

Fourier series and LTI systems

3.8-3.9

10.18

24

The discrete time Fourier transform (DTFT)

5.1-5.2

10.20

25

The discrete time Fourier transform (DTFT)

5.1-5.2

10

10.23

26

The inverse discrete time Fourier transform

5.1-5.2

10.25

27

Continuous time Fourier transform (FT)

4.1-4.2

10.27

28

Continuous time Fourier transform (FT)

4.1-4.2

11

10.30

29

Continuous time Fourier transform (FT)

4.1-4.2

11.1

Midterm 2

11.3

30

Properties of the DTFT

5.3-5.5

12

11.6

31

Properties of the DTFT

5.3-5.5

11.8

32

Properties of the FT

4.3-4.5

11.10

Veterans’ day; no class

14

11.13

33

Properties of the FT

4.3-4.5

11.15

34

Examples of DTFT

 

11.17

35

Calculation of the Fourier Transform

 

13

11.20

36

Filtering

4.5.1, 4.7, 5.8

11.22

37

Filtering

4.5.1, 4.7, 5.8

11.24

Thanksgiving; no class

15

11.27

38

Sampling

7.1

11.29

39

Sampling

7.1

12.1

40

Reconstruction from sampling

7.2

16

12.4

41

Communication systems; Amplitude modulation (AM)

8.1-8.2

12.6

42

Frequency division multiplexing

8.3

12.12

Study days; no class