University of Washington
Department of Electrical Engineering
EE 235 Lab 5:
Time Domain to Frequency Domain
In this lab, we will learn how to transform signals in Matlab from the time domain to the
frequency domain. In addition, we use will Matlab to iden
EE 235 Continuous Time Linear Systems
Problem Set #1 Solution
Problem 1
Problem 2
Fundamental period:
(a) Periodic signal, period =
(b) Periodic signal, period=
(c) ( )
[
(d) Not periodic
Problem 3
(
)]
; Periodic signal; period=
Problem 4
(
)
(
)
( )
Pro
3/28/2016
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #1 (Introduction)
ANNOUNCEMENTS
This week plan:
Lectures: 1.01.2
Labs: No
Assignments: No
Office Hours: Monday, Tuesday, Wednesday, & Friday 01:302:30 pm at C
EE235
Name:
Student ID:
Midterm Exam #2
University of Washington EE235, Winter 2016
February 26th, 2016
Exam Information:
The test is closed book, and no calculators/devices are allowed. You are allowed ONE 8.5x11 (twosided) page of notes.
Please show a
University of Washington
Department of Electrical Engineering
EE 235 Lab 1 Part Two:
Introduction to Matlab
In this lab, you will work through another series of exercises to finish off your introduction to
Matlab (Matrix Laboratory). Note: All lab exercis
EE235
Name:
Student ID:
Midterm Exam #1
University of Washington EE235, Winter 2016
January 29th, 2016
Exam Information:
The test is closed book, and no calculators/devices are allowed. You are allowed ONE 8.5x11 (twosided) page of notes.
Please show al
Homework 3
EE235, Spring 2012
Solution
Each problem or problempart worth one point.
1
1. An LTI system has impulse response h(t) = (t 2) 2 (t 4). Describe in words what
the output signal y (t) would be given an input x(t).
The system y (t) would be a lin
University of Washington
Department of Electrical Engineering
EE 235 Lab 1 Part One:
Introduction to Matlab
In this lab, you will work through a series of exercises to get you started with Matlab (Matrix
Laboratory). You will learn how to use Matlab varia
University of Washington
Department of Electrical Engineering
EE 235 Lab 2
ContinuousTime Signals and Transformations in Time
In this lab, we will use Matlab to perform transformations in time on continuoustime signals.
We will also introduce students t
University of Washington
Department of Electrical Engineering
EE 235 Lab 2
ContinuousTime Signals and Transformations in Time
In this lab, we will use Matlab to perform transformations in time on continuoustime signals.
We will also introduce students t
EE235 Summer 2011
Signals & Systems
Leo Lam
Final Exam
Name
Student Number
Notes:
This exam is closed book, closed notes, closed homework and homework solutions. You are
permitted two 8.5 x 11 doublesided sheet of summary notes. No calculator is permitt
University of Washington
Department of Electrical Engineering
EE 235 Lab 3:
Unit Impulse and ContinuousTime LTI Systems
In this lab, we will investigate unit impulses and its significance and usage in LTI systems. In
particular, we will revisit the time
12/1/2015
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #32
UWEE TC Chen
SAMPLE TO AVOID ALIASING
No aliasing if:
< 0.5 Shannons Sampling
Theorem.
2 (Nyquist rate) = minimum lossless sampling rate
()
2S
S
c
0
c
S
2
12/2/2015
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #33
UWEE TC Chen
SAMPLING / ALIASING REMIX!
Consider sin 3) sampled at 2Hz. = 2 = 4
(
2
4
0
2
4
Since the original frequency was between /2 and . What
you se
1/6/16
EE235: Lecture 2
1. Four basic signals
2. Operations on signals





Addition
Multiplication
Time shifting
Time scaling
Time flipping or reversal
1
Four Basic Signals
constant signal
x(t ) = a
a
t
0
unit step signal
u(t) = 1 , t > 0
u(t) = 0 ,
m
EE235 Continuous Time Linear Systems
Instructor: TaiChang Chen
Midterm #1
10/24/2012 2:30—3:2opm
Name: I Am a gelu'fi'an
Student Number: :4 E g Eé
Problem 1: signals (10 points)
Determine whether or not each of the following signal is periodic. If ye
11/25/2015
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #30
UWEE TC Chen
BANDWIDTH PART 3/3
Notes:
1) HighPass and BandStop filters have infinite bandwidth.
2) By multiplying two signals in time, the result has the s
11/23/2015
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #29
UWEE TC Chen
FOURIER TRANSFORM AND LTI
(EXAMPLE)
Assume an LTI system as following (Delay):
()
( 3)
Exponential response
3 =
3
Responding to Fourier Se
1/20/16
EE235: Lecture 7
Impulse Response of an LTI System
Building Signals out of Impulses
The Convolution Integral
1
Impulse Response of an LTI System
Definition: The response of an LTI system when
the input is the unit impulse is called the impulse
1/20/16
EE235: Lecture 4
Systems
System Properties
Causality
Stability
Invertibility
1
Systems
Input/Output representation of a system:
bassoon
sound wave signal
Musicians input
microphone
speaker
Sound wave signal
electrical signal (voltage)
1
1/20/
1/11/16
EE235: Lecture 5
System Properties
TimeInvariance
1
TimeInvariance
A system is Timeinvariant if:
T cfw_x(t ) = y (t ) then T cfw_x(t t0 ) = y(t t0 )
If the input is delayed by t0 seconds,
then the output is the same but delayed t0 seconds
Sy
1/18/16
EE235: Lecture 6
System Properties
Linearity
LTI System
1
Linearity
A System is linear if it meets the following two criteria:
Additivity:
If
T cfw_x1 (t ) = y1 (t )
then
Scaling:
If
and
T cfw_x2 (t ) = y2 (t )
Tcfw_x1 (t ) + x2 (t ) = Tcfw_x1
%Ex1.m
%Auther
clear all;
close all;
load CommsSignals;
y_corr = corr(x1,x1);
% Computs the correlation of x1 and x1
y1 = (1/Fs)*conv(x1,x1); % Computs the convolution of x1 and x1
index = length(x1) + 1; % Index of the width of x1
y1_corr = y1(index)
y2_
/*
* bufbomb.c  Bomb program that is solved using a buffer overflow attack
*
* Copyright (c) 2002, R. Bryant and D. O'Hallaron, All rights reserved.
* May not be used, modified, or copied without permission.
*/
#include
#include
#include
#include
#includ
12/9/2015
EE235: Continuous time linear systems
Introduction to signals and systems
Lecture #37
UWEE TC Chen
INTERPRETING THE ROC 1/2
1) All ROCs have boundaries parallel to the axis.
2) Rightsided signals have rightsided ROCs, leftsided signals
have
% Creates a delta function
% USAGE: [d, t] = Delta(time_interval, input_fs, shift, scale);
function [d, t_d] = createDelta(t,Fs,to,scale)
d = zeros(t*Fs,1); %Create zero vector
if to >= 0
% Time shift right
index_to = ceil(to*Fs + 1); % Index of the impul
% FILE: Ex2.m
% NAME: Ahmed Moalim & Khader G
% DESCRIPTION: More Matlab Variables and Basic Operations
% Clear all variables and close all windows
clear all;
close all;
% PART A
Fs = 2;
t = 0:1/Fs:3;
x = 0.5*t;
y = t.^2;
% PART B
z = x  2*y;
% PART C
w1
% TIMESCALE Perform a time scale operation on x (sampled at Fs) by
% factor "a".
% USAGE: [y1, t1] = timescale(signal, signal_Fs, 2);
% AUTHOR: Eldridge Alcantara
function [y, t] = timescale(x, Fs, a)
% Get numerator and denominator of scaling factor
[n,
% Ex1.m Devlops delta functions and plots them
% AUTHOR: Ahmed Moalim and Khader Gous
clear all
close all
%Create
[d1,t1]
%Create
[d2,t2]
%Create
[d3,t3]
delta(t)
= createDelta(5,8000,0,1);
delta(t3)
= createDelta(5,8000,3,1);
delta(t4)
= createDelta(5,
%
%
%
%
FILE: Ex1.m
NAME: Khader G & Ahmed Moalim
DESCRIPTION: Matlab Variables and Basic Operations
Clear all variables and close all windows
clear all;
close all;
% PART A
y1 = [4;6;2];
z = [1 1 1; 3 6 9; 0 0 0];
% PART B
c = y1(2)
c1 = y1(2:3)
% PART C