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Signals
Contents
1-1
1-2
1-3
1-4
1-5
Overview, 2
Types of Signals, 3
Signal Transformations, 6
Waveform Properties, 9
Nonperiodic Waveforms, 11
Signal Power and Energy, 21
Chapter 1 Summary, 24
Problems, 2
EE 303
Spring 2006
Spring 2008
MATLAB Laboratory Experiment: Fourier Series
Any periodic signal (with period T ) which satises Dirichlet Conditions can be represented
as a trigonometric series, and thus, exponential series:
x(t) =
n=
cn exp j
2nt
T
cn are
EE 303 Signal Analysis and Transform Methods Lab (Feb 12th)
A Simple Nonlinear Discrete-Time System Let y[n] be a signal generated by applying the following nonlinear operations on signal x[n]: yn=x[n]2-xn-1x[n+1] In this problem you will generate the out
EE 303 Signal Analysis and Transform Methods Lab #1
Practice #1:
Consider the following signals: x1 t = 10 cos 2t x2 t = cos(2t) x3 t = 1 cos 2 2 t + 10 3
x4 t = 10 cos 2t + sin(3t) 1. What are the periods for the first three signals given? 2. Is the sum
EE303SignalAnalysisandTransformationMethods
Exam#3Spring200810:0011:30am
Problem#1(19points)
Find,itsregionofconvergence,and
Where
Problem#2(15points)
isalowpassbandlimitedsignalwhichsatisfiesthefollowing:
(a) FindtheNyquistSamplingRatefor(7points)
Where
EE 303
Spring 2010
Exam 3
Answer all questions to the best of your ability. If applicable, partial credit will be
given. You must show all of your work to receive full credit.
1.)
We have x(t) = exp(-2t)u(t). Find the Fourier Transform of the following
si
EE 303
Spring 2012
Exam 3
Problem 1: (17/34)
Let
x(t ) exp( 3t ) u (t 1) .
Find the Fourier Transform of the following signal:
y (t ) x(t 3) x(t 3) .
Problem 2: (17/34)
Consider the following system:
z (t ) h(t )
x(t )
A
y (t )
p(t )
where p (t ) sin 0 t
EE303
Spring2008
MATLABLaboratoryExperiment:SamplingTheorem
Thesamplingtheoremsaysthatforalowpasssignal whosehighestfrequencyis,ifthe
sampling rate satisfies , then can be completely reconstructed from the instantaneous
samples.Theminimumsamplingrate isca
EE 303
Spring 2008
MATLAB Laboratory Experiment: Fourier Transform
The Fourier Transform of () is defined by:
=
()exp()
Similarly, the inverse Fourier Transform is defined by:
1
=
2
()exp()
In MATLAB, the Fourier Transform can be numerically calculated
EE 303
Spring 2008
MATLAB Laboratory Experiment: Sampling-Sinc Interpolation
The sampling theorem says that for a low-pass signal () whose highest frequency is ,
if the sampling rate satisfies 2 , then () can be completely reconstructed
from the instantan
EE 303 MATLAB Laboratory Experiment: Fourier Transform
Spring 2009
The Fourier Transform of () is defined by:
=
()exp()
Similarly, the inverse Fourier Transform is defined by: 1 = 2
()exp()
In MATLAB, the Fourier Transform can be numerically calculated b
E E 303 Signal Analysis and Transform Methods L ab #1
P ractice #1:
Consider the following signals: x1t=10cos2t x2t=cos(2t) x3t=12cos23t+10 x4t=10cos2t+sin(3t)
1. What are the periods for the first three signals given? 2. Is the sum of first two signals p
EE 303
Spring 2006 Spring 2009
MATLAB Laboratory Experiment: Fourier Series
Any periodic signal (with period T ) which satises Dirichlet Conditions can be represented as a trigonometric series, and thus, exponential series:
x(t) =
n=
cn exp j
2nt T
cn are
EE 303
Spring 2006
Spring 2009
MATLAB Laboratory Experiment: Fourier Series
Any periodic signal (with period T ) which satises Dirichlet Conditions can be represented
as a trigonometric series, and thus, exponential series:
x(t) =
n=
cn exp j
2nt
T
cn are
EE303
Spring 2008 MATLAB Laboratory Experiment: Sampling Theorem
The sampling theorem says that for a low-pass signal () whose highest frequency is , if the sampling rate satisfies 2 , then () can be completely reconstructed from the instantaneous samples
EE303
Spring 2008
MATLAB Laboratory Experiment: Sampling Theorem
The sampling theorem says that for a low-pass signal x(t) whose highest frequency
is wB , if the sampling rate ws satisfies ws 2wB , then x(t) can be completely
reconstructed from the instan
To All EE 205 Students,
Enter your name and student number, and sign. Return this to the TA at your recitation class. If
you failed to do so, you would not be considered registered.
Last Name:
First Name:
Student Number:
Signature:
To All EE 205 Students,
Enter your name and student number, and sign. Return this to the TA at your recitation class. If
you failed to do so, you would not be considered registered.
Last Name:
First Name:
Student Number:
Signature:
EE 205
Instructor:
Office:
Office Hours:
Signals and Systems
Spring 2014
M. Soumekh
220 Davis Hall
Tuesdays & Thursdays 5:00 PM 5:50 PM
Teaching Assistants: Amir Daneshmand, Borui Chen, Paolo Scarponi
Textbook:
Continuous and Discrete Signals and Systems,
EE 205
Instructor:
Office:
Office Hours:
Signals and Systems
Spring 2014
M. Soumekh
220 Davis Hall
Tuesdays & Thursdays 5:00 PM 5:50 PM
Teaching Assistants: Amir Daneshmand, Borui Chen, Paolo Scarponi
Textbook:
Continuous and Discrete Signals and Systems,
Test your knowledge of basic calculus: To be able to handle/understand the materials that are
taught in EE 205, you should be able to answer the eight math questions that appear below.
Test your knowledge of basic calculus: To be able to handle/understand the materials that are
taught in EE 205, you should be able to answer the eight math questions that appear below.
clear all;
A=1; % the amlitute of the step
t=0:0.01:10; % Generating points in time
unitstep=A*ones(1,length(t);% Generating a row of length t of magnitude A
plot(t, unitstep);
title('MATLAB simulated unit step signal');
xlabel('Time (s)');
axis([0 10 0 1