American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #1
Spring 2014
Assigned: February 18, 2014
Due: March 3, 2014
Solve the following problems from the textbook. Use a class cover-page for your
work.
1

American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #2
Spring 2014
Assigned: March 5, 2014
Due: March 12, 2014
Solve the following problems in the textbook. Use a class cover-page for your work.
1.60

American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #4
Spring 2014
Assigned: March 24, 2014
Due: April 16, 2014
Solve the following problems. Use a class cover-page for your work.
2.39 (a) (b) (d) (i)

American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #5
Spring 2014
Assigned: April 18, 2014
Due: April 28, 2014
Solve the following problems. Use a class cover-page for your work.
Find the Fourier trans

American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #5
Spring 2014
Assigned: May 5, 2014
Due: May 12, 2014
Solve the following problems. Use a class cover-page for your work.
Find the Fourier transform

American University of Sharjah
Department of Electrical Engineering
ELE 321 - Signals & Systems
Homework #7
Spring 2014
Assigned: May 14, 2014
Due: Not to be submitted
Solve the following problems. Use a class cover-page for your work.
1. An ideal 90 phas

Time-Domain Representation
of Linear Time-Invariant
Systems
Slide 1
Dr. M. Hassan
Linear Systems
A system is said to be LINEAR if it satisfies the properties of scaling
(homogeneity) and superposition (additivity), while a nonlinear system is
any system t

HW7Solutions
Problem1
Problem2
FOURIER ANALYSIS O F TIME SIGNALS AND SYSTEMS
[CHAP. 5
Equation (5.64) is called Parseual's identity (or Parseual's theorem) for the Fourier
transform. Note that the quantity on the left-hand side of Eq. (5.64) is the norma

ELE 321 — HWZ Solutions
1.60 Real part ofx(r) is
Re{x(l)} = Aemcoswﬂ)
Imaginary part ofxU) is
Im{x(r)} = Ae“’sin(mz)
1.63 From Fig, P. l .63 we observe the following:
261(1) : xzm : x3tt) : mm
In!) 2 33(1)
Hence, we may Write
.l’l (I) '5‘" 26(1),“; W. l)

Signal & Systems
Slide 1
Dr. M. Hassan
What is a Signal
Si
Signals are means b which information i conveyed
l
by hi h i f
ti is
d
A signal
is a time-varying function that represents a variable or a
physical quantity carrying information
Some examples:

impulse response
h2[n] = [n]-2 [n-1]
determine the system output when the input is
[n]- [n-2]
A discrete time LTI system has the input-output relationship:

FOURIER ANALYSIS O F TIME SIGNALS AND SYSTEMS
[CHAP. 5
Equation (5.64) is called Parseual's identity (or Parseual's theorem) for the Fourier
transform. Note that the quantity on the left-hand side of Eq. (5.64) is the normalized
energy content E of x(t) [