chapter2 [호환 모드] - skkudspl.skku.ac.kr/.../dsp/note/dsp_figures/chapter2.pdf · 2008. 8....
TRANSCRIPT
![Page 1: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/1.jpg)
•• •)(T
)( tx a Sampling )(][ sa nTxnx =
• • • 5
t
)( sT
)(][ sa nTxnx =
n1− 0 1 2 3 4 •5
Called; (sequence)
1. Why Sequence?
2. Absolute time is irrelavant
Figure 2.1
![Page 2: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/2.jpg)
][nδ
11
n01− 1 2 32−
Figure 2.2
![Page 3: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/3.jpg)
][nx
1 ][][ knkx −δ1 ][][ knkx δ
bi h
n01− 1 23
k
][kxx k =magnitude
numberweight ,
Figure 2.3
![Page 4: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/4.jpg)
01− 1 2 3 4 52−3− n
Figure 2.4
![Page 5: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/5.jpg)
0 ω0ω π2 πω 20 + π4 πω 40 + π6Frequency range
Same frequenciesq y g
of interest
Figure 2.5
![Page 6: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/6.jpg)
( )222 ππT
][nx
(sec)210
π==Ω
=T
][1 nx
π3 π5)3(t π
0
1 2 3 4 5
π π2 π4
0 6 7
)4
( nt =
)34( tnπ
=π6
π2=T
38
=N 8=N
3π
3
Figure 2.6
![Page 7: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/7.jpg)
][nx ][2 nx
2 3 4 π3)( nt
• • • • • • • •
0
1 π2π4
0
)( nt =5 6
π2=T
Never repeats itself • • • • • • • •
Figure 2.7
![Page 8: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/8.jpg)
}{Τ
][ny][nx}{•Τ
]}[{][ T ]}[{][ nxTny =
Figure 2.8
![Page 9: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/9.jpg)
}{ •Τ
][ ny][ nx}{
]2[][ nxny =
• • • • • • • •
][ nx
• • • • • • • •
2=M
0 1 2 3 4 5 n• • • • • • • •0 1 2 3 4 5 n
• • • • • • • •
Figure 2.9
![Page 10: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/10.jpg)
][ny][nx
}{Τ
][ny][nxDLTI
}{•Τ
Figure 2.10
![Page 11: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/11.jpg)
][ny][nx
][h
][ny][nxDLTI
][nh
Figure 2.11
![Page 12: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/12.jpg)
][nx ][nh
1 1
n1 0 1 n21
0 11− 0 1
1−
0 1
1−
Figure 2.12
![Page 13: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/13.jpg)
]1[1][ +⋅= nhnh
21
1
][nyn
2
0
][ny
11
]1[)1(][ = nhnh
∑ n
21
−
0 1 22
1−
]1[)1(][ −⋅−= nhnh
n1
0 1 2
21−
21
1−
Good for evaluating y[n] for the cases where x[n] & h[n] are of finite duration
Figure 2.13
![Page 14: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/14.jpg)
][ kx ][
][ kh − ][
k1− 0 1
Figure 2.14
![Page 15: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/15.jpg)
][ ny
11
n10 1 2
21
1− 3 43− 2− • • • • • • • •
• • • • • • • •
• • • • • • • •
• • • • • • • •
2−
1−
Figure 2.15
![Page 16: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/16.jpg)
][ny][nx
}{•Τ
][ny][nx DLTI
][nh
Where ]}[{][ nnh δΤ=
Figure 2.16
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][ny][)( i l t ][ny][nx][nh
][nx][1 nh ][2 nh • • • • • • • • ][nhn
][ny )(equivalent
Figure 2.17
![Page 18: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/18.jpg)
][1 nh
][ny][nx][nh][nx
][2 nh
][ny
)(equivalent
∑
][nhn
Figure 2.18
![Page 19: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/19.jpg)
][nh ][nh 01:10:0<<−
<<ax
a
01− 1 22− n 0 1 2 n3 4 5
Figure 2.19
![Page 20: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/20.jpg)
][nx
][δ
][nx
][
][nδ
)(Q
][][ nxny =][nx][
][nδ][nx
][nx)(
][][ nxny][nx][][ nnh δ=][nx
][1 nh
][nyAccumulator Backward
Difference
][2 nh
Figure 2.20
![Page 21: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/21.jpg)
][nx ][nyAccumulator BackwardDifference
][nx
][1 nh ][2 nh
Figure 2.21
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][nx∑
][ny
]1[ −ny One Simplep
Delay
Figure 2.22
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][ nh
• • • • • • • •• • • • • • • •
samplesM )1( 2 +
0 1 2 3 4 2M n
Figure 2.23
![Page 24: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/24.jpg)
∑][nx
11+M
][1 nx+ ][][ nunh = ][ny∑
Attenuator12 +M
− Accumulator
(M2+1)Simple
Delay
Figure 2.24
![Page 25: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/25.jpg)
][nynjenx ω][
}{•Τ
][nyjenx =][ DLTI
][nh
Figure 2.25
![Page 26: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/26.jpg)
][ny][nx
)( samplesn d
][ny][nx Delay
Figure 2.26
![Page 27: chapter2 [호환 모드] - SKKUdspl.skku.ac.kr/.../dsp/note/DSP_figures/chapter2.pdf · 2008. 8. 28. · Microsoft PowerPoint - chapter2 [호환 모드] Author: Created Date: 8/28/2008](https://reader034.vdocuments.site/reader034/viewer/2022051902/5ff29039ba9ad4591d4e1d43/html5/thumbnails/27.jpg)
)( ωjLP eH )( ωj
LP eH
ωcω πcω− 0π−
1
cωπ −2cω πcω− 0π−
1
π2 cωπ +2
passband passband
1 )( ωjH
πbω− 0π−
1 )( ωjLP eH
π2 ωaω− aω bωb
passband
a a b
passband
1)( ωj
LP eH
πcω− 0π−
passband
π2 ωcω
passband
1 )( ωjLP eH
πbω− 0π−
1 )(LP eH
π2 ωaω− aω bω
Figure 2.27
stopband stopband
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)( ωjeX][ nx
• • • • • • • •
F
][ nx
• • • • • • • •• • • • • • • •
• • • • • • • •
π2
π2− 0 π202 ωπ +
ω2− 1− 0 1 2 3 n π40ω0
Figure 2.28