Chapter 5: Continuous-time Fourier Transform
Problem 5.1
(a)
The CTFT for x1(t) is given by
X 1 () =
jt
jt
[ t ] e dt + [1 t ] e dt
= 1+
[ ]
t
jt
2
2
=
(b)
[]
e
( j)
1
=
( j)
=
0
x1 (t )e jt dt = 1 +
[1 ]
( j)
2
( / 2)
2
+
1
( j) 2
e
1
2 cos()
si

Lassonde School of Engineering
Co-op Work Term Report Guidelines
The Work Term Report provides the opportunity for students to consider their experience in some
depth and is a worthwhile approach to enhancing learning and career planning activities. In ad

Merchandise return instructions for Microsoft Store
1. Print your label
2. Attach it to your package. Please cover or remove any previous tracking labels on your package.
3. If you are shipping items over $2500 from Puerto Rico, wait 1 business day for yo

ENGLISH
RECEPTOR CON CD
KD-A605/KD-R600
ESPAOL
CD RECEIVER
KD-A605/KD-R600
RCEPTEUR CD
KD-A605/KD-R600
FRANAIS
Instructions
Having TROUBLE with operation?
Please reset your unit
CD RECEIVER
Refer to page of How to reset your unit
Still having trouble?
USA

Signals and Systems I Have Known and Loved
Andrew W. Eckford
Department of Electrical Engineering and Computer Science
York University, Toronto, Ontario, Canada
Version: September 24, 2015
c
Copyright 2015
by A. W. Eckford. May be freely distributed.
Cont

CHAPTER 1
Review: Probability, Random Processes, and
Linear Systems
1.1. Probability
In this section, we briefly review some necessary concepts of probability that
will be used throughout this text.
1.1.1. Discrete-valued random variables. A discrete-valu

EECS 3602 Lab 2 : Signals and Sound Waves
Submission details: Write your responses to the following questions and submit them
electronically as a lab report, along with any code that you write. If your responses are
handwritten, scan them for electronic s

EECS 3602 Lab 4 : Filters
Submission details: Write your responses to the following questions and submit them
electronically as a lab report, along with any code that you write. If your responses are
handwritten, scan them for electronic submission. Submi

bartlett(20)
plot(abs(fft(ans)
% do a low pass filter with a Bartlett window
Omega_c = pi/2;
k = 0:(2*N);
N = 20;
k = 0:(2*N);
h = Omega_c / pi * sinc(k-N)*Omega_c / pi);
h = h .* bartlett(N);
winc = 2*pi/length(h);
plot(0:winc:(2*pi-winc),abs(fft(h)
% no

EECS 3602 Lab 5 : Filtering Random Processes
Submission details: Write your responses to the following questions and submit them
electronically as a lab report, along with any code that you write. If your responses are
handwritten, scan them for electroni

EECS 3602 Lab 3 : Discrete Time Systems
Submission details: Write your responses to the following questions and submit them
electronically as a lab report, along with any code that you write. If your responses are
handwritten, scan them for electronic sub

Omega_c = pi/4;
N = 10;
k = 0:(2*N)
h = (Omega_c / pi) * sinc(k - N)*Omega_c / pi);
stem(h)
stem(k,h)
% make sure you specify the correct x axis
% compare the above two plots to see the difference
plot(abs(fft(h)
winc = 2*pi/length(h)
plot(0:winc:(2*pi-wi

% low pass filters
% pick a cutoff frequency of pi/4
Omega_c = pi/4
N = 10
k = 0:(2*N)
sinc
sinc(0.1)
% use sinc.m to provide the sinc function, if your matlab doesn't have it
built in
h = (Omega_c / pi) * sinc(k-N)*Omega_c / pi);
h
h = (Omega_c / pi) * s

EECS 3602 Lab 1 : Review of Fourier series
Submission details: Write your responses to the following questions and submit them
electronically as a lab report, along with any code that you write. If your responses are
handwritten, scan them for electronic