Bachelor of Engineering
Department of Electrical & Electronic Engineering
ELEC3421/ELEC2201: Signals and Linear Systems
Mid-Term Examination Solution
Name:
UID:
Answer ALL questions.
Write your answers directly on the exam paper.
All questions carry eq
Tutorial 6: Fourier Transform
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 7: Fourier Transform
Changsheng You
Changsheng You
[email protected]
Email: [email protected]
Problem 1: (From Fourier series to Fourier transform)
Problem 1. (From F
ELEC3241/2201 Signals and Linear Systems
Tutorial 1: Introduction to Signals and Systems
LIU Dongzhu
Email: [email protected]
Office: CB 807
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
1
sign
re
al in f
sig
ain
m
o
d
ELEC3241/2201 Signals and Linear Systems
Tutorial 6: Fourier Series
LIU Dongzhu
Email: [email protected]
Office: CB 807
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
1
Big
Picture
ofof
Analyzing
Signals
and
Linear
Syst
ELEC3241/2201 Signals and Linear Systems
Tutorial 8: Sampling
LIU Dongzhu
Email: [email protected]
Office: CB 807
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
1
~eoIO
SOctvPk~
Reconstruction:
Sampling Theorem
P Ct)
x*
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 7
Fourier Transform (B)
Changsheng You
CYC 807
[email protected]
Changsheng You
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
How to understand the Parsevals Theorem?
Changsheng You
ELEC324
ELEC3241/2201 Signals and Linear Systems
Tutorial 2: Time-Domain Analysis of CT Systems
LIU Dongzhu
Email: [email protected]
Office: CB 807
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
1
Review
Input
System
Signal
2
O
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 7.2: Fourier Transform
Changsheng You
Email: [email protected]
Problem
1: (Parsevals
Theorem)
Problem
4. (Parsevals
Theorem)
ELEC3241/ELEC2201
Signals
and Linear Systems [2015]
In both time domai
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 4
Laplace Transform
Changsheng You
CYC 807
[email protected]
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Why introduce Laplace Transform
How to calculate it
ELEC3241-ELEC2201 Signals and
ELEC3241/ELEC2201 Signals and Linear Systems [2016]
Tutorial 6: Fourier Series
LIU Dongzhu
Email: [email protected]
Problem 1. Equivalence of Exponential and Trigonometric Fourier Series
In the lecture, we have learnt two types of Fourier Series, i.e.,
Tr
16 Sampling
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Recommended
Problems
Tutorial 8 Sampling Theory
P16.1
The sequence x[n] = (-1)' is obtained by sampling the continuous-time sinusoidal
LIU Dongzhu
signal x(t) = cos oot at 1-ms intervals, i.e
ELEC3241/2201 Signals and Linear Systems
Topic 4: Laplace Transform
Kaibin Huang
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
Denition of Laplace-Transform
Laplace-transform
changes differential equations of continu
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 7
Fourier Transform (A)
Changsheng You
CYC 807
[email protected]
Changsheng You
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
What is the relationship between
Fourier Series and Fourier Tra
Extra Topic:
Digital Audio and Signal Processing
Kaibin Huang
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
Speech Signals
4 Introduction
UH
SH
0
D
W
IY
0.12
CH
0.24
EY
0.36
S
0.48
0
0.02
0.04
0.06
time in seconds
0.08
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
Tutorial 4: Laplace Transform
Changsheng You
Email: [email protected]
Problem 1:
Find the unilateral Laplace transforms of the following functions without using the Table.
(You can use shifting property i
ELEC3241/2201 Signals and Linear Systems
Topic 2: Time-Domain Analysis of CT Systems
Kaibin Huang
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
System Model: Input-Output Description
!"#$ %&'$ ('#)'($ ! " # $*)#*+)%$",
Changsheng You
ELEC3241-ELEC2201 Signals and Linear Systems [2016]
[email protected]
Tutorial 5: Z-Transform
Changsheng You
Email: [email protected]
Problem 1:
Compute the unilateral z-transform of signal x[n] in the following two ways.
(a) Represent x[n] a
ELEC3241/2201 Signals and Linear Systems
Topic5: z-Transform
Kaibin Huang
Dept. of Electrical & Electronic Engineering
The University of Hong Kong
Hong Kong
Definition of z-Transform
z-Transform
changes difference equations of discrete-time
systems into
4.0 Line Frequency Phase Controlled Rectifiers AC-DC
4.1 Two Quadrant operation
4.1.1 Thyristors are used for simple phase controlled AC - DC conversion
4.1.2 voltage can be positive or negative and the converter operates in 2 quadrants
4.1.3 Thyristor Ga
Chapter 3. AC- DC Conversion : Line Frequency Diode Rectifiers
3.0.1 DC power is very often needed for DC drives and electronic equipment.
3.0.2 Power is often obtained from AC line at 50 Hz or 60Hz.
3.0.2 Rectifier diodes provide a simple and inexpensive
The University of Hong Kong
Department of Electronic & Electrical Engineering
Power Electronics ELEC2103
Reference Text:
Mohan, Undeland, Robbins, Power Electronics Converters, Applications and Design, 3rd
edition, John Wiley & Sons.
P.T. Krein Elements o
ELEC 6097 IP Networks
Assignment 1
Deadline: Oct. 26, 2016
This assignment is worth 7.5% of your final grade. It consists of 4 questions worth a total of 70 points.
Please submit your assignment using the Moodle system. (No late submission will be accepte
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offer a wide
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education, individuals acquire different skills. Some people tend to develop many
different skills, while others focus on on skill only. The debate emerges that which
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There are increasing concerns about environmental issues. The problems such as air
pollution and extinction of species, has put our planet in danger. Undoubtedly we
should take actions to preserve the environment. A debate appears consequently: Is
the env