???IIR???????

1
???IIR???????

• ?????????????????????????????????????????????????
  ??????????????????????????????????Infinite
  impulse register(IIR)?
• IIR?????
• ??????(Band)?????????

2
???????5.1.1 ?????????????

• ??
• ???????
• ????????????????????????????
• ??????????(Adaptability)?
• ?????????????
• ??
• ??????
• ?????????(Finite length effect)?

3
5.1.2 ?????(Lowpass filter)??

• ?????(lowpass)???(Highpass)???(Bandpass)???(Bandst
  op)?????????????????????????????????????????5.1-1?
  ?

4
?5.1-1 ???????????
5
???????dB????????5.1-2?
6
?5.1-2 ????????????????????
7
?5.1-3 ????????0.25???????
8
?5.1-4 Butterworth??????????
9
?5.1-5 Butterworth??????????
10
?5.1-6 Butterworth????
11
?5.1-7 Chebyshev-I??????
12
?5.1-8 Chebyshev-I????
13
?5.1-9 Chebyshev-I??????
14
?5.1-10 Chebyshev-I????
15
?5.1-11 Chebyshev-II??????
16
?5.1-12 Chebyshev-II?????
17
?5.1-13 Elliptic??????
18
?5.1-14 Elliptic?????
19
?5.2-1 ????????????
20
????IIR????????

• ????(Direct form)
• ?????????5.2-2??????1(Direct form I)?????2(Direct
  form II)?
• ????(Cascade form)
• ??????????????5.2-3?
• ????(Parallel form)
• ??????????????5.2-4?

21
?5.2-2 ???????
22
?5.2-3 ???????
23
?5.2-4 ???????
24
5.2.2 ?Impulse invariance??????

• ?????????????????(Maping)????S domain???Z
  domain???????5.2-5?

25
?5.2-5 Impulse invariance ???
26
?5.2-6 ??????????
27
?5.2-7 ?????????
28
?5.2-8 ??????????
29
5.2.3 ?Bilinear Transformation??????

• ?????5.2-9?

30
?5.2-9 Bilinear Transform???
31
?5.2-10 ??????????
32
?5.2-11 ?????????
33
?5.2-12 ??????????
34
?5.3-1 Butterworth????????
35
?5.3-2 Butterworth???????
36
?5.3-3 Butterworth?????
37
?5.3-4 ??Butterworth????????
38
?5.3-5 ??Butterworth???????
39
?5.3-6 ??Butterworth????????
40
?5.3-7 ??Butterworth????????
41
?5.3-8 ??Butterworth???????
42
?5.3-9 ??Butterworth?????
43
?5.3-10 ??Butterworth????????
44
?5.3-11 ??Butterworth???????
45
?5.3-12 ??Butterworth????????
46
?5.3-13 Chebyshev-I????????
47
?5.3-14 Chebyshev-I???????
48
?5.3-15 Chebyshev-I?????
49
?5.3-16 ??Chebyshev-I????????
50
?5.3-17 ??Chebyshev-I???????
51
?5.3-18 ??Chebyshev-I????????
52
?5.3-19 ??Chebyshev-I????????
53
?5.3-20 ??Chebyshev-I???????
54
?5.3-21 ??Chebyshev-I?????
55
?5.3-22 ??Chebyshev-I????????
56
?5.3-23 ??Chebyshev-I???????
57
?5.3-24 ??Chebyshev-I????????
58
?5.3-25 Chebyshev-II????????
59
?5.3-26 Chebyshev-II???????
60
?5.3-27 Chebyshev-II?????
61
?5.3-28??Chebyshev-II????????
62
?5.3-29 ??Chebyshev-II???????
63
?5.3-30 ??Chebyshev-II????????
64
?5.3-31 ??Chebyshev-II????????
65
?5.3-32 ??Chebyshev-II???????
66
?5.3-33 ??Chebyshev-II?????
67
?5.3-34 ??Chebyshev-II????????
68
?5.3-35 ??Chebyshev-II???????
69
?5.3-36 ??Chebyshev-II????????
70
?5.3-37 Elliptic????????
71
?5.3-38 Elliptic???????
72
?5.3-39 Elliptic?????
73
?5.3-40??Chebyshev-II????????
74
?5.3-41 ??Elliptic???????
75
?5.3-42 ??Elliptic????????
76
?5.3-43 ??Elliptic????????
77
?5.3-44 ??Elliptic???????
78
?5.3-45 ??Elliptic?????
79
?5.3-46 ??Elliptic????????
80
?5.3-47 ??Elliptic???????
81
?5.3-48 ??Elliptic????????