M. J. Roberts - 1/3/11
Complex Numbers and
Complex Functions
Web Appendix N -
N.1 Basic Properties of Complex Numbers
In the history of mathematics there is a progressive broadening of the concept of
numbers. The first numbers were the natural counting nu
Description of Systems
1
Systems
Broadly speaking, a system is anything that
responds when stimulated or excited
The systems most commonly analyzed by
engineers are artificial systems designed and
built by humans
Engineering system analysis is the
appl
2016, Mr Julio Romero, University of Canberra
Lecture 9
- Slide 1
The Theory of Fourier Series
Linearity and Time Invariance (cont.)
Consider, for example, a system described by:
For this
system,
letfollowing
a signal x1[n]
output y1[n], and another input
Mathematical Description of
Continuous-Time Signals
Typical Continuous-Time Signals
2
Continuous vs Continuous-Time
Signals
All continuous signals that are functions of time are
continuous-time but not all continuous-time signals are
continuous
3
Continuo
2015, Mr Julio Romero, University of Canberra
Lecture 12
- Slide 1
Why Laplace Transform?
2015, Mr Julio Romero, University of Canberra
Lecture 12 Slide 2
Definition of Two-sided Laplace Transform
2015, Mr Julio Romero, University of Canberra
Lecture 12 S
2016, Mr Julio Romero, University of Canberra
Lecture 6
- Slide 1
The Zero-State Response
The zero-state response y[n] is the system response to an input x[n] when
the system is in the zero state. In this lecture we will assume that systems are
in the zer
2016, Mr Julio Romero, University of Canberra
Lecture 4
- Slide 1
Convolution Integral
2016, Mr Julio Romero, University of Canberra
Lecture 4 Slide 2
Convolution Table (1)
2016, Mr Julio Romero, University of Canberra
Lecture 4 Slide 3
Convolution Table
VERSION 1.0
OCTOBER 9, 2016
LAB WEEK 10: FOURIER SERIES
UNIVERSITY OF CANBERRA. SIGNALS AND SYSTEMS, SEMESTER 2, 2016
SIGNALS AND SYSTEMS LABORATORY WEEK 10
LAB WEEK 10: FOURIER SERIES
USING THE DFT MATLAB FUNCTION TO APPROXIMATE THE CTFS
Find the approxi
Discrete-Time Signal
Description
University of Canberra
Signals and Systems. Semester 2, 2016
1
Sampling and Discrete Time
Sampling is the acquisition of the values of a continuous-time signal
()
at discrete points in time. x t is a continuous-time signal
2015, Mr Julio Romero, University of Canberra
Lecture 11
- Slide 1
Continuous time vs Discrete time
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 2
Sampling Process
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 3
Sampling
2015, Mr Julio Romero, University of Canberra
Lecture 12
- Slide 1
Initial & Final Value Theorems
2015, Mr Julio Romero, University of Canberra
Lecture 12 Slide 2
Example
2015, Mr Julio Romero, University of Canberra
Lecture 12 Slide 3
Laplace Transform f
VERSION 1.0
SEPTEMBER 11, 2016
LAB WEEK 6: MANIPULATING SIGNALS
UNIVERSITY OF CANBERRA. SIGNALS AND SYSTEMS, SEMESTER 2, 2016
SIGNALS AND SYSTEMS LABORATORY WEEK 6
LAB WEEK 6: MANIPULATING SIGNALS
GENERATING YOUR FUNCTIONS
In this rst sec-on you will crea
2015, Mr Julio Romero, University of Canberra
Lecture 11
- Slide 1
Definition of Fourier Transform
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 2
Define three useful functions
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slid
Mathematical Description of
Continuous-Time Signals Part 2
Differentiation
2
Integration
3
Even and Odd Signals
Even Functions
Odd Functions
g ( t ) = g ( t )
g ( t ) = g ( t )
4
Even and Odd Parts of Functions
g ( t ) + g ( t )
The even part of a functio
2015, Mr Julio Romero, University of Canberra
Lecture 11
- Slide 1
Linearity & Conjugate Properties
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 2
Time-Frequency Duality of Fourier Transform
2015, Mr Julio Romero, University of Canberra
2015, Mr Julio Romero, University of Canberra
Lecture 11
- Slide 1
Signal Transmission through LTI Systems
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 2
Time-domain vs Frequency-domain
2015, Mr Julio Romero, University of Canberra
Lectu
Introduction to Signals and
Systems
University of Canberra
Semester 2, 2016
Signals and Systems Defined
A signal is any physical phenomenon which
conveys information
Systems respond to signals and produce new
signals
Excitation signals are applied at s
Discrete-Time Signal
Description Part 2
1
Differencing
2
Accumulation
g[ n ] =
n
h[m]
m=-
3
Even and Odd Signals
g [ n ] = g [ -n ]
g [ n ] + g [ -n ]
ge [ n] =
2
g [ n ] = - g [ -n ]
g [ n ] - g [ -n ]
go [ n] =
2
4
Products of Even and Odd
Functions
Tw
2015, Mr Julio Romero, University of Canberra
Lecture 11
- Slide 1
Spectral Sampling (1)
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 2
Spectral Sampling (2)
2015, Mr Julio Romero, University of Canberra
Lecture 11 Slide 3
The Discrete F
Tutorial 3
Computer
and
Network
Security
Semester 3, 2016
Ankit khatri
Student ID: U3123669
[email protected]
07/09/2016
Contents
1. Chapter 9: Public Key Crypto and RSA.2
1. Chapter 9: Public Key Crypto and RSA
(a) What are the principal elements of
University of Canberra
Faculty of Business Government and Law
Semester 1, 2016
Database Design 5915 and Database Design G 6672
Tutorial exercises for week 2
1. In this tutorial your tutor will introduce himself/herself as well as his/her contact
details.
Tutorial 0
Computer
and
Network
Security
Semester 2, 2016
Ankit khatri
Student ID: U3123669
[email protected]
18/08/2016
Cryptography
Cryptography is the study or practice of securing the communication and data using various
techniques of encryption
2016, Mr Julio Romero, University of Canberra
Lecture 2
- Slide 1
Signals and Systems
During this lecture we will discuss certain basic aspects of
signals and will introduce important concepts and
qualitative explanations of the hows and whys of systems
2016, Mr Julio Romero, University of Canberra
Lecture 5
- Slide 1
Discrete-Time Signals
Discrete-time signal is basically a sequence of numbers. Such signals arise
naturally in inherently discrete-time situations such as population studies,
amortization p
Mr Julio Romero
Faculty of ESTEM
2016, Mr Julio Romero, University of Canberra
Lecture 1 - Slide 1
Acknowledgement of Country
I would like to acknowledge the Ngunnawal people who are
the Traditional Custodians of the Land that we are on.
I would also li
2016, Mr Julio Romero, University of Canberra
Lecture 2
- Slide 1
Systems
2016, Mr Julio Romero, University of Canberra
Lecture 2 Slide 2
Systems
2016, Mr Julio Romero, University of Canberra
Lecture 2 Slide 3
Linear Systems
2016, Mr Julio Romero, Univers
Mr Julio Romero
Faculty of ESTEM
2016, Mr Julio Romero, University of Canberra
Lecture 1 - Slide 1
S&S is Everywhere
Twenty years ago, the Fast Fourier Transform (which we
will cover towards the end of the semester) was a
mysterious thing that only few i
2016, Mr Julio Romero, University of Canberra
Lecture 5
- Slide 1
BIBO (Bounded-Input/Bounded Output) Stability
If every bounded input produces bounded output, the system is (BIBO)
stable. In contrast, if even one bounded input results in unbounded respon