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

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),
Note: The materials here are based on Adobe Flash which is no longer supported in modern browsers. You can install the open-source
ruffle plug-in and most of the content will render correctly.

EE235 (analog) and  EE341 (Discrete).  (Thanks to the University of Washington)

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%

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.

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 of time.

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 Signals/Systems-Tool Summary DrD MatLab Tutorial – Dr. Aliane, University of New Haven Simulink Tutorial – RPI Chemical Engineering Get ahead in your Readings! 2 Sep 9   Sep 12 Signals and Systems Noise Introduction 1   Notes 1,5 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 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 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 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 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 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 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 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 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 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 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