University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 9
IIR Digital Filter Design
Digital Signal Processing
Preliminary
Considerations
IIR The Design Methods of
IIR Filter
IIR Design of Lowpass IIR
Digital Filters
IIR Design of
Highpass, Bandpass, and Bandstop IIR
Digita
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 2new
Digital Processing of CT signal
Digital Signal Processing
1.5 2.1
2.5 3.8~3.10
Digital Signal Processing
1 DSP
DSP
Digital Signal Processing

Digital Signal Processor

Digital Signal Processing
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 6
zTransform
Digital Signal Processing
Definition of ZT
Rational zTransform
ROC of a Rational ztransform
The Inverse ZTransform
The properties Of ZT
Analysis and Characterization of LTI systems
Using ZT
Digital
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 6
zTransform
Digital Signal Processing
Definition of ZT
Rational zTransform
ROC of a Rational ztransform
The Inverse ZTransform
The properties Of ZT
Analysis and Characterization of LTI systems
Using ZT
Digital
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 1
Continuoustime
Signals and Systems
Introduction
Any problems about signal analyses and processing
may be thought of passing signals trough systems.
f(t)
h(t)
y(t)
From f(t) and h(t)find y(t) Signal processing
From f(t) and y(t) find h(t) System
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 9
IIR Digital Filter
Design
9.1 Preliminary Considerations
9.1.1 Digital Filter Specifications
Just like analog LPF, it is considered
j
1 P G (e ) 1 P , for P
(9.1)
G (e j ) S , for S
passband edge frequency :
stopband edge frequency :
(9.2)
P
S
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 10
FIR Digital Filter
Design
10.1 Preliminary
Considerations
10.1.1 Basic Approaches to FIR Filter
Unlike IIR digital filter design, FIR
filter design have no connection
with the design of analog filters.
The design of FIR filters is based
on a
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 8
Digital Filter Structures
8.1 Block Diagram Representation
Advantages of block diagram representation
(1) Easy to write down the computational
algorithm by inspection
(2) Easy to analyze the block diagram to
determine the explicit relation bet
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 4
Digital Processing of
ContinuousTime Signals
1
Digital Processing
of ContinuousTime Signals
Sampling of ContinuousTime Signals
Recovery of the Analog Signal
Implication of the Sampling Process
Sampling of Bandpass Signals
Analog Lowpass Filte
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 6
ZTransform
1
Outline
Definition
ROC
(Region of Converges)
zTransform Properties
Transfer Function
2 /92
zTransform
In continuous signal system, we use STransform
and FT as the tools to process problems in the
transform domain; so in disc
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 3
DiscreteTime
Fourier Transform
DiscreteTime Fourier Transform
The Definition
The Theorems
Frequency Response of an LTI DTS
Phase and Group Delays
ContinuousTime Fourier Transform
We already discussed this topic in Chapter 1.
You can read this
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 7
LTI DiscreteTime Systems
in the Transform Domain
Types of Transfer Functions
The analysis methods of discrete
LTI systems in the transform
method(ZT and DTFT ) .
y (n) x[n] h[n] Y ( z ) X ( z ) H ( z )
j
j
j
[Y (e ) X (e ) H (e )]
H ( z )[ H (e
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
DiscreteTime
Signals and Systems
(TimeDomain Analyses)
Part I: Signals
Representation
Operation
A sequence of numbers
Timeshift, timereversal, adder, product
(modulator), differential, timescaling,
convolution
Several typical sequences
Basic Concept
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 7
LTI DiscreteTime Systems in the
Transform Domain
Digital Signal Processing
Types of Transfer
Functions
Bounded Real Transfer Functions
Allpass Transfer Function
ZeroPhase Transfer Functions
LinearPhase Trans
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 8
Digital Filter Structures
Digital Signal Processing
Block Diagram
Representation
Equivalent Structures
FIR Basic FIR Digital
Filter Structures
IIR Basic IIR Digital
Filter Structures
Maltab Realization Using MATLAB
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 10
FIR Digital Filter Design
Digital Signal Processing
FIR Preliminary
Considerations
FIR FIR Filter Design
Based on Windowed Fourier Series
FIR FIR Filter
Design Based on Frequncy Sampling
Approach
FIR MATLAB FIR Fil
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 8
Digital Filter Structures
Digital filter Structures
The convolution sum description of an
LTI discretetime system can, in
principle, be used to implement the
system
For an IIR finitedimensional system this
approach is not practical as here t
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 7
LTI DiscreteTime Systems
in the Transform Domain
Types of Transfer Functions
The timedomain classification of an LTI
digital transfer function sequence is
based on the length of its impulse
response:
 Finite impulse response (FIR) transfer
f
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 5
FiniteLength discrete
Transforms
Discrete Fourier Transform (DFT)
DTFT is the Fourier Transform of
discretetime sequence. It is discrete in
time domain and its spectrum is
periodical, but continue which cannot be
processed by computer which c
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 1
Continuoustime
Signals and Systems
Introduction
Any problems about signal analyses and
processing may be thought of letting signals
trough systems.
f(t)
h(t)
y(t)
From f(t) and h(t) find y(t) Signal processing
From f(t) and y(t) find h(t) Syste
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 4
Digital Processing of
ContinuousTime Signals
Digital Processing of ContinuousTime Signals
Digital processing of a continuoustime
signal involves the following basic steps:
(1) Conversion of the continuoustime
signal into a discretetime sign
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 10
FIR Digital Filter
Design
Digital Filter Design:
Basic Approaches
The design of a FIR filter of order N
may be accomplished by finding
either the length(N+1) impulse
response samples cfw_h[n] or the (N+1)
samples of its frequency response
H(e
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 9
IIR Digital Filter
Design
Objective  Determination of a realizable
transfer function G(z) approximating a
given frequency response specification is
an important step in the development of
a digital filter
If an IIR filter is desired, G(z) sho
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 6
ztransform
zTransform
The DTFT provides a frequencydomain
representation of discretetime signals and
LTI discretetime systems
Because of the convergence condition, in
many cases, the DTFT of a sequence may
not exist
As a result, it is no
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 3
DiscreteTime Fourier
Transform
The ContinuousTime Fourier Transform
We already discussed this
topic in Chapter 1.
You can read this part(3.1) in
the textbook p117122.
DiscreteTime Fourier Transform
Definition  The discretetime Fourier
t
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 2
DiscreteTime
Signals and Systems
DiscreteTime Signals:
TimeDomain Representation
Signals represented as sequences of
numbers, called samples
Sample value of a typical signal or
sequence denoted as x[n] with n being an
integer in the range 
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 3
DiscreteTime Signals and
Systems in TimeDomain
Digital Signal Processing
OutlineDiscreteTime Signals and Systems
3.1 DiscreteTime Signals
3.2 Typical Sequences and Sequence
Representation
3.3 DiscreteTime Systems
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Welcome to
Digital Signal Processing
Digital Signal Processing
;
TIDSP
2007
MIT GIT RICE IIT TI
Leadership University
Program DSP
Digital Signal Processing
Digital Signal Processing
:
TEL: 61831266; EMail: ybl
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Digital Signal Processing
Chapter 5A
DFT Applications
Digital Signal Processing
Outline
DFT
DFT
DFT
DCT
Goertzel Algorithm
Chirp Z
5 5.11~5.12
Digital Signal Processing
5A.1 DFT
DFT
x (t)
a
Tp fm
xa(t) Xa( j) xa(t)
x[n] =
xa( nT ) x[n]
University of Electronic Science and Technology of China
DSP
EE 60

Spring 2014
Chapter 5
FiniteLength Discrete
Transforms
1
Outline
Definition of DFT
Relationship between DFT & DTFT
DFT Properties
DFT Computation
2 /121
Discrete Fourier Transform (DFT)
Why we need DFT?
DTFT is the Fourier Transform of discretetime
sequence.
DTFT i