Title: ??? ??????? (Discrete Fourier Transform )
1??? ???????(Discrete Fourier Transform )
2????
- ???????(Discrete Fourier Transform)DFT????????????
???? - ??T?????????????
- Fast Fourier Transform ,FFT?DFT???????????
3????
- ?.??
- ?.????????????
- ?.???????
- ?.??????
- ?.??DFT??????????
- ?.?????
4????
- DFT?????????????,??????????,?????????,????,???????
???????????????????????? - DFT???????????????,????????????
- FFT???DFT???????????
5- ????????????????????,??????????????
- DFT???????
- ???????(t-n,w-k)??????
- ????(FFT)
6?????
7?????
- ?x(t)??????????,?????????
8????????
- ?x(n)???x(t)?????,?????T,??
9(No Transcript)
10???????
- ?????????????????(??),????????????
- ????????????(???)?????????????????(???)?
11??????????????????, ? ??
12(No Transcript)
13??????
14- ??2009-11-01 ??????????28??(?1981?),???????????
??,????????????????????????????????????,??????????
??????,????????,??????????????????????????????????
????28??,?????????????????,??????????????????????,
????????????? - ????????????????????,??????????????????????????
?????????????,?????????????????????????? - ????,?????,??????????,?????????????,??????????????
???,???????? - ????2009-11-01??????????????,????????????????????
?????,??????????,???????????????
15?????????(DFS)
- ??????N??????
- ?? (????,????)
- ???????????Z??????
- ????????????????,??????????????
16???????
- ????N??????e(n)
- ????
- K???
- ???
17 18??
- ???????????????(DFS)?????????????????
19- ?????DFS??????????????x(n)?Z??,???Z?????????
2p /N?????
?????,???????????,???????????
20?????????DFT
- ?????,??????????????????????????DFS??????
- ????N??????x(n),????????N?????,?????????DFS???????
?? - ????????????????????DFT (Discrete Fourier
Transform)
21???????
- ?
m???? - ????(n?N),?n?N????n1??????????,?n?N????
22? ?
23- ?DFS?????????,????????x(n)????????DFT?
??x(n)????????,n???t???,
X(k)????????,k?????????
??????DFT???????????????(N?)???????,??????????????
??,??????,???????
24DFT???
?N??????x1(n)?x2(n)?
251?DFT???
- ??
- 1)??????x1(n)?x2(n)?????N?,????????????
- 2)??????,????????
262?????
27????
??2
28(No Transcript)
293??????
?
30????N???x(n)
31??????
???
? Xep(k)?X(k)?????(????????)?
32???????
??????? ?Xop(k)?X(k)?????(?????????)?
33????
1)?x(n)?????,X(k)Xep(k)? 2)?x(n)??????,X(k)Xo
p(k)
- ?????????X(0)X(N/2-1)?????
343)?x1(n)?x2(n)??N?????,????? ?
- ??,????N?DFT???????N????DFT???
354?DFT?????????
??
36?x (n)y(n)
???x(n)???????????????????
375?????
? x1(n)?x2(n)?????N??????,? ? ?
38??
39??
???????????
406????????????????
??????????(????)
?x1(n)?x2(n)??????,????
41- ?x1(n),x2(n)?????,???L,???????
42- ???????,?????????????????
- ?????,DFT??FFT??,?H(k)??????,??????????????
?
43??
- DFT??????????
- Page110,Table3-3DFT????
44????????
- ????
- ??????????,????????????,??????????????????????
??,????????????,????????????,????????????????? - ????
- ????????DFT??X(k) ??????????,?DFT?????????????
????????????????????????????????????
45??Z??
- ?X(z)?????????
- ?k????,???? ,
- ??????N??????
????????????????? x(n)?
46 47- ?X(z)????????????? ??????x(n)?N??????,???????
???N???????????
??????????????? ?????????????
?? 1) x(n)????????????,??????N????,
????N??,?????????,??????????????
483)???M???,?????????????????NM,??
4)???N????????Z????????N?????????????
5)??????,?NM?,N?????X(k)??????x(n),???????????X(z
)?X(j?)
49??????
50(No Transcript)
51???????
??????????k?? ??,??(N-1)????????
52????
53?1
54??
- ???Page114
- ?3-13???????????????
- ?3-14??????? ?????
55? ?
- ???N???x(n)?Z????????N???????????
- Z?????????
56? ?
- ?x(n)???????????????h(n)?
- ?H(z)?????N?????????????
57????DFT??????????(??)
- ?????,?????????????????????,????????????????,????
????????????,????????
- ??????DFT??????????????????????????
58??1
Matlab?? clearclc N32 n0N-1 x1.0sin(1n
2pi/N) 0.1sin(2n2pi/N)
0.3sin(3n2pi/N)) yfft(x) subplot(2,1,1) p
lot(x) hold on stem(x) subplot(2,1,2) stem(abs
(y))
59??2
Matlab?? clearclc N32 n02N-1 x1.0sin(1
n2pi/N) 0.1sin(2n2pi/N)
0.3sin(3n2pi/N)) yfft(x) subplot(2,1,1) p
lot(x) hold on stem(x) subplot(2,1,2) stem(abs
(y))
60??3
Matlab?? clear N32 n0N-1 xpower(0.9,n) y
fft(x) subplot(2,1,1) plot(x) hold
on stem(x) subplot(2,1,2) stem(abs(y))
61?2
??DFT??????????
62??DFT?????????????
- ?.????
- ?.????
- ?.????
- ?.?????
63????
- ?????xa(t),????fs,????Ts1/fs
64?
? ????????FFT???,????????2?????
?????????????????,?????(1)? ?????
,(2) ??????? ,???
????(1)?????? (2) ????????? ??T
(3) ???????????N?
?
(a) ??????
(b)?????????T
(c) ??????N
65????
- ??????,????????? ??????????,?
???,????????????,???????,????????????,???????,????
,?????,???????????O?????????(????),????????
66?1
1.??????????,?????? 2.????,???????? 3.?????????,??
?????(FIR??????)
67????
- ?DFT?????,????????????????????????????????,??
?????????????,???????? - ????x(n)????? ,?F????????,????????
68?????
?F01/T0,??F0????, T0????????x(n)??,?
- ??????????????,????????????????Xa(z)?
?? 1)?????? 2)??N???2M???,??FFT???
69??