EEL 3135 SIGNAL AND SYSTEMS
Course Objectives
To provide students with the necessary mathematical tools for upper-level courses in communication systems, control systems, and digital signal processing.
Course Description
Semester course; three lecture hours. Three credits. Prerequisites: MAP 2302 (Differential Equations). Explores the basic theory and application of signal and systems including continuous and digital signal modeling, sampling and aliasing, Fourier transform, Laplace transform, Z transform, and continuous and discrete systems.
Relationship to ABET Student Outcomes
- Enhance ability to apply knowledge of mathematics, science, and engineering
- Enhance ability to identify, formulate, and solve engineering problems
- Enhance ability to communicate effectively (in team-based project work)
- Recognizing the need for, and an ability to engage in lifelong learning
- Enhance ability to use the techniques, skills, and modern engineering tools necessary for engineering practice (MATLAB)
Required Materials
- Signal Processing First, by James H. McClellan, Ronald W. Schafer, and Mark A. Yoder: Prentice Hall, Upper Saddle River, NJ, 2003, ISBN 10: 0130909998
Reference Materials
- Fundamentals of Signals and Systems using the Web and MATLAB, 3/E, by Kamen and Heck: Prentice Hall, Upper Saddle River, NJ, 2007, ISBN 10: 0131687379
- Signals, Systems, and Transforms, 5/E, by Phillips, Parr and Riskin: Prentice Hall, Upper Saddle River, NJ, 2014, ISBN 10: 0133506479
- Signals and Systems using MATLAB, 2/E, by Chaparro: Academic Press, 2014, ISBN: 9780123948120
MATLAB Software
Free access for FIU students; get MATLAB from here.
Problem Sets
- Problem sets will be assigned weekly. All assignments are pledged, meaning that the work that you turn in must represent your own efforts. All assignments in the past week are due before Tuesday’s lecture. Unless prior arrangements are made, Late Assignments Will Not Be Accepted.
- Each student must perform his or her own work. Any work submitted must represent your own effort.
Project Report
The project will be group-based, with two students for one group. The students may ask instructors for finding a group member.
Course Grading
- Two/Three Exams (30%/20% each, the third exam is optional): 60%
- Homework/Problem Sets: 20%
- Projects and Reports: 20%
Example Schedule
| Week | Topics and Tasks |
| 1 | Course Overview and Introduction Sinusoids (1) Sinusoidal Signals Review of Sine and Cosine Functions Sampling and Plotting Sinusoids |
| 2 | Sinusoids (2) Complex Exponentials and Phasors Notation for Complex Numbers Euler’s Formula |
| 3 | Sinusoids (3) Phasor Addition Homework (1) Spectrum Representation (1) The Spectrum of a Sum of Sinusoids Beat Notes |
| 4 | Spectrum Representation (2) Periodic Waveforms Time-Frequency Spectrum Frequency Modulation Due: Homework (1) Spectrum Representation (3) Fourier Series Spectrum of the Fourier Series Fourier Analysis of Periodic Signals Homework (2) |
| 5 | Sampling and Aliasing (1) Sampling Spectrum View of Sampling and Reconstruction Due: Homework (2) Sampling and Aliasing (2) Discrete-to-Continuous Conversion The Sampling Theorem Homework (3) |
| 6 | Homework Review for Sinusoids Homework Review for Spectrum Representation Due: Homework (3) Homework Review for Sampling and Aliasing |
| 7 | Questions and Answers for Section Exam 1 – No Class Sectional Exam (1) |
| 8 | MATLAB: Introduction MATLAB Project: Synthesis of Sinusoid Signals |
| 9 | FIR Filters (1) Discrete-Time Systems The Running-Average Filter The General FIR Filter FIR Filters (2) Implementation of FIR Filters Linear Time-Invariant (LTI) Systems Convolution and LTI Systems Homework (4) |
| 10 | Frequency Response of FIR Filters (1) Sinusoidal Response of FIR Systems Superposition and the Frequency Response Steady-State and Transient Response Properties of the Frequency Response Graphical Representation of the Frequency Response Due: Homework (4) Frequency Response of FIR Filters (2) Cascaded LTI Systems Running-Average Filtering Filtering Sampled Continuous-Time Signals Homework (5) |
| 11 | z-Transforms (1) Definition of the z-Transform The z-Transform and Linear Systems Properties of the z-Transform The z-Transform as an Operator Convolution and the z-Transform Due: Homework (5) z-Transforms (2) Relationship Between the z-Domain and Frequency Domain Useful Filters Practical Bandpass Filter Design Properties of Linear-Phase Filters Homework (6) |
| 12 | Veteran’s Day – No Class Homework Review for FIR Filter Homework Review for Frequency Response of FIR Filter Due: Homework (6) |
| 13 | Homework Review for Z Transform Self-Preparation of Section 2 Exam – No Class |
| 14 | Sectional Exam (2) Questions and Answers for MATLAB Project – No Class |
| 15 | Continuous-Time Signals and LTI Systems (1) Continuous-Time SignalsThe Unit Impulse Continuous-Time SystemsLinear Time-Invariant Systems Impulse Responses of Basic LTI System Homework (7) – Optional Questions and Answers for Preparation of Optional Exam – No Class Due: MATLAB Project Report – Submit to Canvas |
| 16 | Due: Homework (7) – Submit to Canvas (optional) Optional Exam |