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数字信号处理英文版课件:Chapter4 Discrete-time Systems第四版.ppt
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数字信号处理英文版课件:Chapter4 Discrete-time Systems第四版.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:
4.1 Discrete-Time
Systems Examples
•
Accumulator
3
1
1
y[ ] [ ]
M
l
n x n l
M
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[ ] [ ]
M
l
n x n l
M
[ ] [ 1] [ ]y n y n x n
1
[ ] [n] ( [n 1] [n 1])
2
u u u
y n x x x
•
Exponentially Weighted Running Average lter
•
Linear Interpolator
4.1 Discrete-Time
Systems Examples
•
Median lter
5
y[ ] { [ ],..., x[n 1], x[n], x[n 1],..., x[n K]}n med x n K
The median lter is implemented by
sliding a window of odd length over the
input sequence {x[n]} one sample at a
time.
{2, 3,10,5, 1} 2med
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