**EEE 203
Signals and Systems**

**Spring 2016, MW 12:00-1:15 SCOB228**

**Instructor: Kostas Tsakalis, ****GWC 358, 965-1467,
Office**

- Intro, CT-DT Signals and Systems
- Elementary signals, Signal representation. Step,
impulse signals and their properties
- Systems I. Elementary operations: Shift, Reflection,
Scaling.
- System Properties: Linearity, Time Invariance,
Causality, Memory, Stability
- Systems II. LTI systems and convolution integrals/sums
(graphical methods, analytical methods), Properties of LTI systems (C,M,S)
- Response of LTI systems to inputs: complete response,
steady-state response
- Key Application #1: LTI system realization by
convolution sums
- Response of LTI systems to exponentials,
motivation of the Fourier Transform
- Fourier Series and approximation of signals, Fourier
Transform: Basic Definitions, Properties and Usage, Frequency response of
systems
- Key Application #2: Filtering
- Laplace Transform: Definition, Properties, Connection
with F-transform
- DT case: DFT, Z-transform. Basic definition and
properties, connection with CT transforms
- Transfer functions and filtering in DT
- Key Application #3: Sampling and Reconstruction
- Preview of more advanced topics:
state-space and feedback

**Grading:** HW (10%), 5 Tests (50% average of best 4/5), Final (40%)

Absolute
Grading Scale: A > 90 > B > 75 > C
> 60 > D > 50 > E

(Cut-off
points may only decrease depending on the final grade distribution.)

**ALL TESTS ARE CLOSED-BOOKS/NOTES.
THE LINKED TABLES OF FOURIER PROPERTIES ARE
ALLOWED (Print your own copy).**

**Important Dates:**

HW: see below

Tests: see below (typically
last 30min of class, 2 problems) Grade distribution

**Final Exam**, WED May 4** 9:50-11:40 (Notice time!!!)**** **

**Academic integrity policy:**

**https://provost.asu.edu/index.php?q=academicintegrity**

**-------------------------------------------------------------------------------------**

**HW Assignments, Test
Material, Handouts**

Reading material: Class Notes #1 (.pdf)

Basic definitions and examples on system properties.

Linearity, Time Invariance, Causality, Memory, Stability.

Solved Problems:

Selection from
Ch.1-8

Other
Solved Problems Ch.1-10

Old tests and homework

Last tests and homework (note: different numbering)

!!! Convolution Demos: Try out this JAVA-based program (http://www.eas.asu.edu/~midle/jdsp/)

** ASSIGNMENTS** SEE

Study: Chapters 1.1-1.4 and relevant
solved problems, including 2.20

HW#1. Due Date 2/1

**2/8. Test 1**** Material: HW#1**
SOLUTIONS

**Transformations of the independent variable; e.g.,
given x(t), sketch x(2t-1), given y[n], sketch y[1-n].**

**Elementary functions; unit step, e.g., given a
piece-wise constant x(t), express it in terms of unit steps;**

**unit delta, e.g., compute an integral involving
delta(.)**

Study: Chapters 1.5, 1.6,
2 and relevant solved problems

HW#2 Due date 2/15

**2/22. Test 2**** Material: HW#2**
SOLUTIONS

**System properties and applications (Linearity,
time-invariance). Convolution**

Study: Chapters 3, 4, 6 and relevant
solved problems

HW#3. Due date 2/29

**3/14. Test 3**** Material: HW#3**
SOLUTIONS

**Fourier Series: Signal
approximation, response of LTI systems to periodic inputs**

**Fourier Transform: Basic Properties**

**Fourier Transform Applications: Filtering**

**Notice: New dates**

Study: Chapter 7 and relevant solved
problems

HW#4. Due date ~~3/21~~ 3/28

~~3/28~~ 4/4 Test 4** Material: HW#4** SOLUTIONS

**Sampling and reconstruction**

Study: Chapter 9 and relevant solved problems

HW#5. Due
date ~~4/4~~ 4/11

~~4/11~~ 4/18
Test 5** Material: HW#5** SOLUTIONS

**Laplace transforms: Basic properties, System
transfer functions**

Study: Chapters 5, 10 and relevant solved
problems

HW#6. Due date ~~4/18~~ 4/25

~~4/25 Test 6 ~~** Material: HW#6 Practice** Test with Solutions

Other HW. Download the files: Problem description , Matlab file , Tada sound .

Study the problem described in the linked notes. Use the Matlab
program to experiment with

different parameter values (frequency, filters, etc)

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__EEE 203 FINAL EXAM Material:__

System properties (L,TI,C,M,S),
e.g., given a system determine if it is TI.

Output of a system to
"composite" inputs from its output to elementary inputs.

Linear systems: General description; system
properties in terms of the impulse response; convolution;

e.g., given a linear system determine if it is
causal. Also given h and x find the convolution h*x.

Fourier Series expansions; expansion of periodic
signals (impulse-trains, pulse-trains);

properties of FS (simplify the computation of FS
using linearity, time shifts etc.);

filtering (computation of FS for the output);

Parseval's relation (finite FS approximation properties, compute
filter/other parameters

to retain/reject a certain percentage of the input
signal energy etc).

Fourier Transforms, Basic Properties. (Compute the
Fourier Transform of "composite" signals

using shifting/convolution/... properties. Compute
frequency-domain properties without

explicitly computing the transform itself).

Fourier Transforms, Applications:

Filtering (Use of the convolution property, ideal
filters, basic notions of non-ideal filters.

Steady-state response to sinusoids. Transfer functions of systems described by ODEs

with constant coefficients.).

Sampling and Reconstruction
(Frequency domain analysis of sampling systems).

Discrete time signals and
systems. Fundamental properties,
difference equations, transfer functions.

Steady-state response to
asymptotically (steady-state) periodic inputs.