The z-transform and
discrete-time systems
1
The z-transform and discrete-time
systems
z-transform of a discrete-time signal
Properties
p
of the z-transform
2
The Z-transform
Di
Discrete
t titime counterpart
t
t tto th
the Laplace
L l
ttransform.
f
Can b
C
Fourier analysis of discretetime signals and systems
1
Fourier analysis of discrete-time
signals and systems
Discrete-time Fourier transform
Discrete Fourier transform
Properties of the DFT
System analysis via the DTFT and DFT
FFT algorithm
Applications o
Application to
Communications
1
Application to Communications
Analog modulation
Demodulation of analog signals
2
Application to Communications
A key component of the transmission of information is the use of
modulation to convert the source signal into an
Laplace transform and transfer
f
function
ti representation
t ti
1
Pierre-Simon Laplace
p
2
Laplace
p
transform and transfer
function representation
Laplace
L
l
ttransform
f
off a signal
i
l
Properties of the Laplace transform
Computation of the inverse L
Fundamental Concepts
System Modelling
Signals and Systems definitions
Continuous-time signals
Discrete-time signals
Examples of systems
Basic system properties
Damien Hill
Signals
A signal x(t) is a real-valued or scalar valued,
function of the time varia
Systems defined by Differential
or Difference Equations
Systems defined by Differential
or Difference Equations
Linear input/output differential equations
System modeling
Linear input/output difference equations
Discretization of differential equations
Sy
Convolution
1
Convolution representation
p
Convolution representation of linear time-invariant discretetime systems
Convolution of discrete-time signals
Convolution representation of linear time-invariant
continuous-time systems
Convolution of continuous-
The Fourier series and
Fourier transforms
1
The Fourier series and Fourier transforms
Representation of signals in the form of frequency
components
F i series
Fourier
i representation
t ti off periodic
i di signals
i
l
Fourier transform
Properties of the
System
y
analysis
y
using
g the
transfer function representation
1
System analysis using the transfer
function representation
Stability and the impulse response
Routh-Hurwitz stability test
Response to sinusoids and arbitrary inputs
Frequency response fun
ENG325 Week 5
Frequency-domain
analysis
l i off systems
t
1
Frequency-domain
Frequency
domain
analysis of systems
Response to a sinusoidal input
Response to periodic inputs
Response to aperiodic inputs
Analysis of ideal filters
Sampling
2
Response
p
to a
Statutory declaration by a supporting witness
in relation to a Partner or Prospective Marriage
visa application
About this form
This form must be completed by a person who:
knows the visa applicant and their partner or fianc(e) and
the history of their r
CDU Harvard Referencing Style Guide (Feb 2016)
CDU HARVARD
Referencing Style Guide
(February 2016 version)
CDU Harvard Referencing Style Guide (Feb 2016)
Table of contents
Reference List . 2
Books and eBooks. 7
Citing in the text . 4
Journal articles . 9