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 2-new
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
z-Transform
Digital Signal Processing
Definition of ZT
Rational z-Transform
ROC of a Rational z-transform
The Inverse Z-Transform
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
z-Transform
Digital Signal Processing
Definition of ZT
Rational z-Transform
ROC of a Rational z-transform
The Inverse Z-Transform
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
Continuous-time
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
Continuous-Time Signals
1
Digital Processing
of Continuous-Time Signals
Sampling of Continuous-Time 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
Z-Transform
1
Outline
Definition
ROC
(Region of Converges)
z-Transform Properties
Transfer Function
2 /92
z-Transform
In continuous signal system, we use S-Transform
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
Discrete-Time
Fourier Transform
Discrete-Time Fourier Transform
The Definition
The Theorems
Frequency Response of an LTI DTS
Phase and Group Delays
Continuous-Time 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 Discrete-Time 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
Discrete-Time
Signals and Systems
(Time-Domain Analyses)
Part I: Signals
Representation
Operation
A sequence of numbers
Time-shift, time-reversal, adder, product
(modulator), differential, time-scaling,
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 Discrete-Time Systems in the
Transform Domain
Digital Signal Processing
Types of Transfer
Functions
Bounded Real Transfer Functions
Allpass Transfer Function
Zero-Phase Transfer Functions
Linear-Phase 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 discrete-time system can, in
principle, be used to implement the
system
For an IIR finite-dimensional 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 Discrete-Time Systems
in the Transform Domain
Types of Transfer Functions
The time-domain 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
Finite-Length discrete
Transforms
Discrete Fourier Transform (DFT)
DTFT is the Fourier Transform of
discrete-time 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
Continuous-time
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
Continuous-Time Signals
Digital Processing of ContinuousTime Signals
Digital processing of a continuous-time
signal involves the following basic steps:
(1) Conversion of the continuous-time
signal into a discrete-time 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
z-transform
z-Transform
The DTFT provides a frequency-domain
representation of discrete-time signals and
LTI discrete-time 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
Discrete-Time Fourier
Transform
The Continuous-Time Fourier Transform
We already discussed this
topic in Chapter 1.
You can read this part(3.1) in
the textbook p117-122.
Discrete-Time Fourier Transform
Definition - The discrete-time Fourier
t
University of Electronic Science and Technology of China
DSP
EE 60
-
Spring 2014
Chapter 2
Discrete-Time
Signals and Systems
Discrete-Time Signals:
Time-Domain 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
Discrete-Time Signals and
Systems in Time-Domain
Digital Signal Processing
Outline-Discrete-Time Signals and Systems
3.1 Discrete-Time Signals
3.2 Typical Sequences and Sequence
Representation
3.3 Discrete-Time 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
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TI-DSP
2007
MIT GIT RICE IIT TI
Leadership University
Program DSP
Digital Signal Processing
Digital Signal Processing
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TEL: 61831266; E-Mail: 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]
