??? FIR???????

1
??? FIR???????

• ????
• ?????????????Finite impulse response(FIR)????IIR??
  ???????????????????????????????Z??????????????????
  ???
• FIR??????????????????
• ????????????????
• ????????????Parks- McClellan ?????MATLAB?remez????
  ?

2
FIR???????

• FIR?Finite Impulse response???????????????????????
  ??????????????????????

3
6.1.1 ????(Direct form)

• ??????6.1-1?

4
?6.1-1 FIR???????
5
6.1.2 ????(Cascade form)

• ???????????????????6.1-2?

6
?6.1-2 FIR???????
7
6.1.3 ??????(Linear Phase form)

• ???????????????FIR?????????????????(Symmetry)?????
  ?????5?FIR????????????5???5/2???2??1???3???????6.1
  -3?

8
?6.1-3 FIR?????????
9
????(Linear-phase)FIR??

• ??????(Linear-phase)FIR??????????????????????????

10
6.2.1 ????FIR???????

• ?????M?FIR?????????????????????????FIR????????????
  ???????M??????????

11
?6.2-1 ?????????????
12
?6.2-2 ?????????????
13
?6.2-3 ????????????
14
?6.2-4 ????????????
15
6.2.2 ????FIR?????

• ?????M?????FIR??????M-1????M-1????(Trivial
  poles)?????????????????????????????FIR????????

16
?6.2-5 ???????????????
17
?6.2-6 ???????????????
18
?6.2-7 ??????????????
19
?6.2-8 ??????????????
20
????(Window Function)???

• ????FIR??????????????????????????????(Truncate)???
  ??????????????????????????????????????????????????
  ????????

21
6.3.1 ?????????

• ?????????(Desired)????????????????????????????????
  ???????6.3-1?

22
?6.3-1 ??????????
23
6.3.2 ???????

• ????????Rectangular window?Bartlett
  window?Hanning window?Hamming window?Blackman
  window?Kaiser window?

24
?6.3-2 ???????
25
?6.3-3 ???????
26
?6.3-4 ???????
27
?6.3-5 ???????????
28
?6.3-6 ???????????
29
?6.3-7 ???????????
30
6.3.3 ???fir1??FIR???

• MATLAB??fir1???????????M?????w?(?????????win??????
  f_type)??????????????????

31
?6.3-8 Hamming ??FIR???
32
?6.3-9 Blackman??FIR???
33
?6.3-10 Hanning??FIR???
34
?6.3-11 Hanning??FIR???
35
6.3.4 Kaiser window?FIR?????

• Kaiser window?????????????????????????????????????
  ??????As????????FIR??????M???????????

36
?6.3-12 Kaiser??FIR???
37
?6.3-13 Kaiser??FIR???
38
?6.3-14 Kaiser??FIR???
39
?6.3-15 Kaiser??FIR???
40
6.3.5 ???fir2??????(Arbitrary shape)FIR???

• fir2??fir1??????????????????????????????????(Multi
  level)?????

41
?6.3-16 ?fir2?????FIR???
42
?6.3-17 ?fir2?????FIR???(????)
43
????????

• ????????????????????????(Ripple)??????????Equiripp
  le?????????Parks-McClellan algorithm?

44
6.4.1 ????????

• ???????????

45
?6.4-1 ?remez??????FIR???
46
?6.4-2 ?remez??????FIR???
47
?6.4-3 ?remez??????FIR???
48
?6.4-4 ?remez??????FIR???
49
6.4.2 ?????

• remez????????????????????????????differentiator?
  ?????

50
?6.4-5 ?remez????FIR???
51
6.4.3 Hilbert????????

• ?6.4.1???????????????hilbert???????Hilbert
  transformer????

52
?6.4-6 ?remez??????FIR???(Hilbert transformer)