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数字信号处理教学课件:Chapter4 Discrete-time Systems.ppt
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2022-06-27
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数字信号处理教学课件:Chapter4 Discrete-time Systems.ppt
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1
Chapter
Chapter
4 Discrete-time Systems
4 Discrete-time Systems
Classication of Discrete Systems
Classication of Discrete Systems
Impulse and Step Response
Impulse and Step Response
LTI Discrete-time Systems
LTI Discrete-time Systems
Phase and Group Delay
Phase and Group Delay
4.1 Discrete-Time Systems Examples
A discrete-time system processes a
given input sequence x[n] to
generates an output sequence y[n]
with more desirable properties
In most applications, the discrete-
time system is a single-input,
single-output system:
x[n]
y[n]=H(x[
n])
Input sequence Output sequence
Discrete-Time
System
2
Accumulator
3
1
y[ ] [ ]
M
l
n x n l
•
In another form
1
[ ] [ ] [ ] [ 1] [ ]
n
l
y n x l x n y n x n
1
0 0
[ ] [ ] [ ] [ 1] [ ]
n n
l l l
y n x l x l y x l
4.1 Discrete-Time Systems Examples
Moving-Average !lter
4
1
0
1
y[ ] [ ]
1
[ 1] ( [ ] [ ])
M
l
n x n l
M
y n x n x n M
M
[ ] [ 1] [ 0 1]y n y n x n
•
Exponentially Weighted Running Average !lter
4.1 Discrete-Time Systems Examples
5
4.1 Discrete-Time Systems Examples
1
[ ] [n] ( [n 1] [n 1])
2
u u u
y n x x x
•
Linear Interpolator
Bilinear/factor-of-2 interpolation
2 1
[ ] [ ] ( [ 1] [ 1]) ( [ 2] [ 2])
3 3
u u u u u
y n x n x n x n x n x n
Bilinear/factor-of-3 interpolation
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