EE 301

Signals and Systems I
Course Syllabus (Fall 2013)
Fairfield University School of Engineering

 

Course Number: EE 301

Course Name: Signals & Systems I

Time: 11:00am-12:15pm

Course Location: Bannow 318

Instructor: Jeffrey N. Denenberg

Final Exam: Design Project

Office: Bannow 301C

Hours: Tues, Wed & Fri 11:00AM – Noon,
            Mon-Thurs 4:30 – 5:30

Office Phone: (203) 254-3330

Google Voice: (203) 513-9427

Email: jeffrey.denenberg@ieee.org

WWW: http://doctord.webhop.net

Course Description:

This course analyzes continuous signals and systems utilizing frequency domain techniques which include the Fourier series, Fourier Transform and Laplace transforms. Included are the important properties and identities of these of these techniques which include convolution, impulse response, transfer function and others. The student will gain insight into the duality between the time and frequency domains and techniques for modeling Linear Time Invariant (LTI) systems.

Since no real system is noise free, the course will discuss the various types and sources of noise, the impact of noise on LTI systems, and calculation of the signal to noise ratio.

Sampling theory will be discussed as a bridge to discrete time systems.  Discrete time systems will be studied with the z-transform and discrete Fourier transform.  MATLAB will be used as a tool to aid in understanding concepts and solving problems.

Prerequisites:  EE 221 or equivalent

Objectives and Outcomes

No.

Objective

Outcome

a-k

1

To understand and apply the principles of LTI systems

Students will analyze LTI systems with differential equations as well as Fourier and Laplace Transforms.

a, e, i

2

To understand and apply Laplace

Transforms to LTI systems

Student will apply Laplace transforms to “real world” engineering problems.

a, e, i, j

3

To understand and apply Fourier Series to LTI systems

Students will learn and apply Fourier Series in real world contexts.

a, e, i, j

4

To understand and apply Fourier

Transforms to LTI systems

Student will apply Fourier Transforms to “real world” engineering problems.

a, e, i, j

5

To understand and apply Noise w/r to LTI Systems to LTI systems

Students will analyze the different noise sources and their effects on LTI systems.

a, e, i, j

6

To understand and apply Discrete time systems and signals to LTI systems

Students will apply the z-transform and discrete

Fourier analysis to engineering problems.

 

a, e, i, j

7

To develop familiarity with MATLAB for problem solving and system design

Students will use MATLAB to aid in solving all signals and systems problems, especially matrix-based systems.

d, e, g, i, k



 

Textbook:

 Linear Systems and Signals, 2nd ed., B. P. Lathi, Oxford University Press,
    ISBN: 0-19-515833-4

References:

 Schaum's Outline of Signals and Systems, 2nd ed., Hwei Hsu, McGraw-Hill,
    ISBN: 007163472X

 Interactive Lecture Notes (Phillips and Parr’s text),
    EE235 (analog) and  EE341 (Discrete).  (Thanks to the University of Washington)

 Performance Indicators and grading:

 Two written exams will be given at approximately equal intervals during the term as
 outlined in the syllabus. The exams will be take-home, open book, open note.

Exams (2)

50%

Team Design Project

25%

Homework

25%

  Exam grading:

The purpose of the exam is to convey your understand the material; therefore, it is important that you show your work.  Even if you feel that the solution to a problem is obvious; you must still explain why it is obvious.  Furthermore; if you are asked to solve

a problem using a given technique; then please use that technique; otherwise, I have no way to judge your understanding of the technique being tested.

Homework policy:

The purpose of homework:

A: To give student practice.

B: To give professor feedback.

Homework will be collected and graded.

Grade is based more on honest effort than correct answers.

Homework is due the next class after it is assigned (except when specified). This two week homework cycle gives an intervening class where students can ask questions. Late homework assignments are not accepted.  If you know you have a conflict, please make arrangements ahead for time.

If you know in advance that you will be missing class please contact me to make arrangements regarding homework.

If you understand how to do the homework problems you will have an easier time with the Exams.

Class structure:

Lectures will be the primary source of information.  Students are expected to attend every class and to participate in class discussions.  Homework assignments will be discussed in class. Students will be expected to work problems in class. You will find it beneficial to review the chapters before the lecture.

 

Office hours are open for discussion of anything. You can get help with homework, projects, or more detailed explanations of topics covered in class. Feel free to stop by, or make an appointment to meet another time


Class Topics and Order of Material

 

Week

 

Topics/Chapters

Chpt.

Obj.

References

HW

1

Sep 5

Course Introduction
Discussion of Syllabus and grading
Review of Mathematical Concepts*
Intro to MATLAB Chap. MB.1*

B

1,7

Continuous-Time: Introduction
Discrete-Time: Introduction
MatLab Tutorial – Dr. Aliane, University of New Haven
Simulink Tutorial – RPI C
hemical Engineering

Get ahead in your Readings!

2

Sep 9

 

Sep 12

Signals and Systems

Noise Introduction

1

 

Notes

1,5

Signals1, Signals2,
Singularity Functions, Systems Intro

Introduction to Noise DrD

1.1-3, 1.1-5, 1.2-1,
1.2-5, 1.3-3, 1.4-3,
1.4-4, 1.4-6, 1.8-5

3

 

Sep 16, 19

Time Domain Analysis of continuous

Systems (2.1-2.4), MATLAB Chap. MB.2*

2

1,5

Convolution1, Conv.2, Conv.3,
Convolution Tutorial, Linear Systems Tutorial DrD

2.2-1, 2.3-1, 2.4-4,
2.4-7, 2.4-18

4

Sep 23, 26

Time Domain Analysis of continuous

Systems (2.5-2.8)

2

1,5

Linear Systems, DiffEq1, DiffEq2

2.4-19, 2.4-22, 2.4-26, 2..4-24, 2.4-27, 2.4-37, 2.5-1, 2.6-6, 2.7-2

5

Sep 30
Oct 3

Laplace Transform (LT)

Exam 1 (Covers Chapters 1,2 & Noise)

4

2,5

Laplace, Laplace2, LTI, Bilateral Laplace

 

4.1-1, 4-1-3, 4-2-3,
4.3-5, 4.3-9, 4.4-2

6

Oct 7, 10

Laplace Transform (cont.),
MATLAB- MB.4*

4

2,5

Filter Approximation Theory DrD

4.5-1, 4.6-14, 4.8-1,
4.9-3, 4.10-1, 4.m-2

7

Oct 14

 

Oct 17

Columbus Day – No Class

MATLAB Chap. MB.6*

Fourier Series

 

6

 

3,5

Fourier Series Tutorial DrD, FS Tutorial 2

FourierSeries1, FourierSeries2,
FourierCoef., LTI-Analysis

6.1-1, 6.1-7, 6.3-2, 6.3-3, 6.3-5, 6.5-3, 6.5-9

8

Oct 21. 24

Fourier Transform

MATLAB Chap. MB.7* (Filters)

7

4,5

Fourier Transform Tutorial DrD, FT Tutorial 2

FT, FT-Prop1, FT-Prop2, FT-Examples, Filter Design DrD

7.1-1, 7.1-4, 7.1-6, 7.2-1, 7.3-2, 7.3-5, 7.4-1, 7.5-3, 7.6-6, 7.7-1, 7.7-5,

9

Oct 28

Oct 31

Sampling

Discrete Signals and Systems

8.1-8.4

1, 2, 4,5,6

Sampling Tutorial DrD, Sampling, FT-Applications

Discrete Sig/Sys, Difference Eq, DesignProject

8.1-1, 8.1-6, 8.1-8, 8.2-2, 8.2-6, 8.3-1

10

Nov 4, 7

Discrete Signals (cont.)

3

1,2,5,6

 

3.1-1, 3.1-2, 3.2-3, 3.3-1, 3.3-7, 3.4-3, 3.4-5, 3.5-1

11

Nov 11, 14

Z-Transform, MATLAB-MB.5*

 

5

1,5,6

z-Transform Tutorial DrD, z-Transform, z-Def.

5.1-1, 5.1-3, 5.1-6, 5.3-2, 5.3-12, 5.3-18

12

Nov 18

Nov 21

Z-Transform (cont.)

Discrete Fourier Analysis

5

1,5,6

z-Prop., LTI Application

DTFT, Properties, Periodic Sequences

5.4-2, 5.4-9, 5.5-3, 5.6-1, 5.6-3, 5.6-11, 5.M-4, 5.M-8

13

Nov 25
Nov 28

Exam 2 (Covers Chapters 3-8)

Thanksgiving – No Class

 

 

 

 

14

Dec 2
Dec 5

Discrete Fourier Analysis (cont),
MATLAB-MB.8*

Noise analysis in Linear Systems

8.5-8.7

Notes

6

1,5

 

DFT Tutorial DrD, DFT, FFT

Noise Figure

 

15

Dec 9
Dec 12
Dec 20

Review, Team Design Project* Discussion
Design Project Presentations
11:30 AM on the final exam day if required

 

 

 

 

*Students to perform outside of class