B Eng (Hons) Electronic Engineering
Cohort: BEE/11/FT & BEE/09/FT
Examinations for 2012 2013 / Semester 2
MODULE: Signals and Systems Analysis
MODULE CODE: ELEC 2104
Duration: 3 Hours
Instructions to
ELEC2302
Signals and Systems
Week 12
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Second assignm
ELEC2302
Signals and Systems
Week 11
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Lab 2 this wee
ELEC2302
Signals and Systems
Week 10
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Feedback from
ELEC2302
Signals and Systems
Week 8
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Midterm exam n
ELEC2302
Signals and Systems
Week 7
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Midterm the we
ELEC2302
Signals and Systems
Week 9
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Midterm exam to
ELEC2302
Signals and Systems
Week 6
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcement
Assignment 1 du
ELEC2302
Signals and Systems
Week 5
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Review of Week 4
Signals
Ti
ELEC2302
Signals and Systems
Week 2
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Review of Week 1
Signals:

et
0 t 1
2 t
x(t ) e
1 t 2, h(t) et (u(t ) u(t 4)
0
all other t
5.1) Use Matlab to plot h(t) and x(t). Sketch the result.
5.2) Use Matlab to plot h(t 0 ) and calculate the convolution y (t 0 )
x(
ELEC2302 Signals and Systems
Tutorial 3
Question 1
Question 2
For the systems determined by the following equations, with the input x(t) and output
y(t), determine which systems are linear and which a
ELEC2302 Signals and Systems
Tutorial 11
Question 1
Question 2
The input to this filter is the periodic square wave shown below
Find the output of the filter y(t)
Question 3
Question 4
What is a modul
ELEC2302 Signals and Systems
Tutorial 8
Question 1
Question 2
Question 3
Consider a periodic signal x(t) shown in the following figure. Use Matlab to plot signal x(t).
Question 4 (review question)
Det
ELEC2302 Signals and Systems
Tutorial 2
Part 1: Inline function
Many simple functions are mostly conveniently represented by using MATLAB inline
objects. An inline object provides a symbolic represent
ELEC2302 Signals and Systems
Tutorial 1
(Reading chapters: B Background B.1, B.2
Focus: Algebra and Eulers Formula)
Question 1
Express the following numbers in polar form
(1)
(2)
(3)
(4)
(5)
2+j4
2j
ELEC2302
Signals and Systems
Week 4
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Review of Week 3
Signals
 S
ELEC2302
Signals and Systems
Week 3
Tuan Nguyen
School of Electrical and Information Engineering
The University of Sydney, NSW, Australia 2006
[email protected]
1
Announcements
Start taking r
ELEC 2302/9302 Week 4 Additional Exercises Solutions
1. In this problem we illustrate one of the most important consequences of the properties of
linearity and time invariance. Specifically, once we k
ELEC 2302/9302 Week 6 Additional Exercises Solutions
1. Consider the signal x(t) = 3e2tu(t) + 4e3tu(t). Determine the Laplace transform X(s) of x(t). Sketch
the location of the poles and zeros of X(s)
ELEC 2302/9302 Week 8 Additional Exercises Solutions
1. Without calculating the actual value of the Fourier Series coefficients, determine which of the
periodic waveforms in the following figures have
ELEC 2302/9302 Week 1 Additional Exercises
1. Express the following numbers in polar form:
a. 1 + j
b. 4 + j3
c.
(1 + j)(4 + j3)
d. ej/4 + 2ej/4
e. ej + 3
f.
(1 + j)/(2 + j3)
2. Express the following
ELEC 2302/9302 Week 7 Additional Exercises Solutions
1. Consider the LTI system with input x(t) = etu(t) and impulse response h(t) = e2tu(t).
(a) Determine X(s) and H(s).
(b) Using the convolution p
SCHOOL OF ELECTRICAL AND INFORMATION ENGINEERING
ELEC2302 Signals and Systems
EXPERIMENT 2: FOURIER SERIES
EQUIPMENT:
Telecommunication Instructional Modelling System (TIMS) with the following modules
ELEC 2302/9302 Signals and Systems
ELEC 2302/9302 Week 9 Additional Exercise Solutions
1. Determine the Fourier transform of the signals
(a) x t e
at
(b) x t e
at
sin 0t u t
cos 0t u t
Solutions:
ELEC 2302/9302 Week 3 Additional Exercises Solutions
Solved Problems
1. Express the signals shown in Fig. 1 in terms of unit step functions.
1.
signals and systems
Express the signals shown in Fig. 1
ELEC 2302/9302 Week 7 Additional Exercises
1. Consider the LTI system with input x(t) = etu(t) and impulse response
h(t) = e2tu(t).
(a) Determine X(s) and H(s).
(b) Using the convolution property of
ELEC 2302/9302 Week 9 Additional Exercises
1. Determine the Fourier transform of the signals
(a) x ( t ) = e
at
sin 0t u ( t )
(b) x ( t ) = e
at
cos 0t u ( t )
2. Find the Fourier transform of the
ELEC 2302/9302 Week 5 Additional Exercises Solutions
1. Given the two LTI systems described the differential equations:
Classify the systems as stable/unstable.
(i)
(D2+3D+7)y(t)=(2D+1)x(t)
s2+3s+7=0